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A. Erdélyi Asymptotic Expansions of Fourier Integrals Involving Logarithmic Singularities . . . . . . . . . . . . . 38--47
D. S. Griffin and R. S. Varga Numerical Solution of Plane Elasticity Problems . . . . . . . . . . . . . . . . 1046--1062
J. W. Moon On the Distribution of Crossings in Random Complete Graphs . . . . . . . . . 506--510
A. C. Williams On Stochastic Linear Programming . . . . 927--940
R. A. Sack Factorization of Lagrange's Expansion by Means of Exponential Generating Functions . . . . . . . . . . . . . . . 1--15 John Jones, Jr. On the Asymptotic Stability of Certain Second Order Nonlinear Differential Equations . . . . . . . . . . . . . . . 16--22 Harvey A. Smith Improvement of the Resolution of a Linear Scanning Device . . . . . . . . . 23--40 A. H. Zemanian The Distributional Laplace and Mellin Transformations . . . . . . . . . . . . 41--59 David A. Sanchez On Composite Variational Problems . . . 60--64 Bruce E. Goodwin On the Realization of the Eigenvalues of Integral Equations Whose Kernels are Entire or Meromorphic in the Eigenvalue Parameter . . . . . . . . . . . . . . . 65--85 G. F. Newell The $ {M} / {G} / \infty $ Queue . . . . 86--88 R. J. B. Wets Programming Under Uncertainty: The Equivalent Convex Program . . . . . . . 89--105 E. Weiss Linear Codes of Constant Weight . . . . 106--111 C. H. Kozin and G. R. Cooper The Use of Prior Estimates in Successive Point Estimations of a Random Signal . . 112--130 D. R. Westbrook Applications of Asymptotic Integration to Potential Problems for Shells . . . . 131--146 Richard W. Cottle Nonlinear Programs with Positively Bounded Jacobians . . . . . . . . . . . 147--158 A. H. Zemanian Inversion Formulas for the Distributional Laplace Transformation 159--166 Marvin Blum Best Linear Unbiased Estimation by Recursive Methods . . . . . . . . . . . 167--180 J. Ponstein Existence of Equilibrium Points in Non-Product Spaces . . . . . . . . . . . 181--190 E. W. Schwiderski and H. J. Lugt and P. Ugincius Axisymmetric Viscous Fluid Motions Around Conical Surfaces . . . . . . . . 191--208
James S. W. Wong Some Properties of Solutions of $ u''(t) + a(t)f(u)g(u') = 0 $. III . . . . . . . 209--214 Ram Prakash Gupta On Flows in Pseudosymmetric Networks . . 215--225 J. W. Moon A Note on Approximating Symmetric Relations by Equivalence Relations . . . 226--227 Tom S. Pitcher An Integral Expression for the Log Likelihood Ratio of Two Gaussian Processes . . . . . . . . . . . . . . . 228--233 Gary D. Eppen Convexity-Preserving Transformations with Stochastic Matrices . . . . . . . . 234--236 D. Bollman Some Periodicity Properties of Modules over the Ring of Polynomials with Coefficients in a Residue Class Ring . . 237--241 Paul B. Bailey Sturm--Liouville Eigenvalues Via a Phase Function . . . . . . . . . . . . . . . . 242--249 Frank Harary and Charles A. Trauth, Jr. Connectedness of Products of Two Directed Graphs . . . . . . . . . . . . 250--254 M. Hanan On Steiner's Problem with Rectilinear Distance . . . . . . . . . . . . . . . . 255--265 Robert I. Sann and Bernard W. Shaffer Free Transverse Elastic Vibrations of a Solid Cylinder Bonded to a Thin Casing 266--285 Roger O. Stafford and Kwan Rim A General Method of Improving the Accuracy of Approximate Solutions of Circular Cylindrical Shells . . . . . . 286--305 Ting-Shu Wu and Bruno A. Boley Bounds in Melting Problems with Arbitrary Rates of Liquid Removal . . . 306--323 James T. Stadter Bounds to Eigenvalues of Rhombical Membranes . . . . . . . . . . . . . . . 324--341 W. S. Loud Generalized Inverses and Generalized Green's Functions . . . . . . . . . . . 342--369 A. Haji-Sheikh and E. M. Sparrow The Floating Random Walk and Its Application to Monte Carlo Solutions of Heat Equations . . . . . . . . . . . . . 370--389 R. J. Duffin and D. Hazony and N. Morrison Network Synthesis Through Hybrid Matrices . . . . . . . . . . . . . . . . 390--413 Hans F. Bueckner Remark on a Paper by D. S. Griffin and R. S. Varga ``Numerical Solution of Plane Elasticity Problems'' [J. SIAM \bf 11 (1963), no. 4, 1046--1062] . . . . . 414--414 D. S. Griffi and R. S. Varga Comments on Bueckner's ``Remark on a Paper by D. S. Griffin and R. S. Varga'' [SIAM J. Appl. Math. \bf 14 (1966), no. 2, 414--414] . . . . . . . . . . . . . . 415--416
Lawrence J. Wallen A Note on Finite Convolution Operators 417--419 Bertram Mond and Richard W. Cottle Self-Duality in Mathematical Programming 420--423 Ronald L. Huston and Louis F. Doty Note on the Krylov--Bogoliubov Method Applied to Linear Differential Equations 424--428 J. L. Greenstadt A Ricocheting Gradient Method for Nonlinear Optimization . . . . . . . . . 429--445 R. K. Miller On Volterra's Population Equation . . . 446--452 Ivan Erdélyi On Partial Isometries in Finite-Dimensional Euclidean Spaces . . 453--467 Yasutaka Sibuya A Block-Diagonalization Theorem for Systems of Linear Ordinary Differential Equations and Its Applications . . . . . 468--475 Donal R. Myrick A Generalization of the Radial Polynomials of F. Zernike . . . . . . . 476--489 Er-Chieh Ma A Finite Series Solution of the Matrix Equation $ {AX} - {XB} = {C} $ . . . . . 490--495 James E. Potter Matrix Quadratic Solutions . . . . . . . 496--501 A. Jeffrey On the Determination of the Envelope of a Family of Epitrochoids with Applications . . . . . . . . . . . . . . 502--510 M. D. Springer and W. E. Thompson The Distribution of Products of Independent Random Variables . . . . . . 511--526 D. C. Youla The Synthesis of Linear Dynamical Systems from Prescribed Weighting Patterns . . . . . . . . . . . . . . . . 527--549 Wai-Kai Chen On Directed Trees and Directed $k$-Trees of a Digraph and their Generation . . . 550--560 A. H. Zemanian A Distributional Hankel Transformation 561--576 Peter Wolfe Diffraction of a Scalar Wave by a Plane Screen . . . . . . . . . . . . . . . . . 577--599 J. Ponstein Self-Avoiding Paths and the Adjacency Matrix of a Graph . . . . . . . . . . . 600--609 B. R. Heap and M. S. Lynn The Structure of Powers of Nonnegative Matrices: I. The Index of Convergence 610--639
John M. Danskin The Theory of Max-Min, with Applications 641--664 Joseph Bram The Lagrange Multiplier Theorem for Max-Min with Several Constraints . . . . 665--667 A. C. Williams Approximation Formulas for Stochastic Linear Programming . . . . . . . . . . . 668--677 A. H. Zemanian The Hankel Transformation of Certain Distributions of Rapid Growth . . . . . 678--690 A. Dou Method of Undetermined Coefficients in Linear Differential Systems and the Matrix Equation $ {YB} - {AY} = {F} $ 691--696 E. M. Gelbard and L. A. Ondis, II and J. Spanier A New Class of Monte Carlo Estimators 697--701 J. Spanier Two Pairs of Families of Estimators for Transport Problems . . . . . . . . . . . 702--713 D. Jagerman Bounds for Truncation Error of the Sampling Expansion . . . . . . . . . . . 714--723 James S. W. Wong On Two Theorems of Waltman . . . . . . . 724--728 Louis Weinberg On the Maximum Order of the Automorphism Group of a Planar Triply Connected Graph 729--738 D. Hazony and R. D. Joseph Transfer Matrix Synthesis with Active $ {RC} $ Networks . . . . . . . . . . . . 739--761 B. R. Heap and M. S. Lynn The Structure of Powers of Nonnegative Matrices: II. The Index of Maximum Density . . . . . . . . . . . . . . . . 762--777 Gary Chartrand A Graph-Theoretic Approach to a Communications Problem . . . . . . . . . 778--781 Karl K. Stevens On Linear Ordinary Differential Equations with Periodic Coefficients . . 782--795 James E. Scroggs and Patrick L. Odell An Alternate Definition of a Pseudoinverse of a Matrix . . . . . . . 796--810 R. O. Winder Partitions of $ {N} $-Space by Hyperplanes . . . . . . . . . . . . . . 811--818 A. R. S. Ponter An Integral Equation Solution of the Inhomogeneous Torsion Problem . . . . . 819--830 C. Lanczos Boundary Value Problems and Orthogonal Expansions . . . . . . . . . . . . . . . 831--863 William Feller Infinitely Divisible Distributions and Bessel Functions Associated with Random Walks . . . . . . . . . . . . . . . . . 864--875 C. C. Lin On the Mathematical Theory of a Galaxy of Stars . . . . . . . . . . . . . . . . 876--921 Menahem Schiffer Half-Order Differentials on Riemann Surfaces . . . . . . . . . . . . . . . . 922--934 Harold Grad High Frequency Sound According to the Boltzmann Equation . . . . . . . . . . . 935--955 G. B. Whitham Nonlinear Dispersive Waves . . . . . . . 956--958 F. John The Role of Inequalities in the Mathematical Theory of Elasticity . . . 959--959
Edward S. Boylan Existence and Uniqueness Theorems for the Optimal Inventory Equation . . . . . 961--969 D. R. Deuel and A. Gill Some Decision Problems Associated with Weighted, Directed Graphs . . . . . . . 970--979 Robert Gold Characteristic Linear Sequences and Their Coset Functions . . . . . . . . . 980--985 Louis R. Bragg The Radial Heat Equation and Laplace Transforms . . . . . . . . . . . . . . . 986--993 William Hansalik Adaption Procedures . . . . . . . . . . 994--997 P. Swerling Topics in Generalized Least Squares Signal Estimation . . . . . . . . . . . 998--1031 John S. Maybee New Generalizations of Jacobi Matrices 1032--1037 V. G. Sigillito Pointwise Bounds for Solutions of the First Initial-Boundary Value Problem for Parabolic Equations . . . . . . . . . . 1038--1056 H. R. Chaudhry Finite Deformations Around a Hole in a Circular Sheet Containing a Polarized Dielectric Subjected to Radial Forces 1057--1066 Arthur F. Veinott, Jr. On the Optimality of $ (s, {S}) $ Inventory Policies: New Conditions and a New Proof . . . . . . . . . . . . . . . 1067--1083 D. W. Willett and J. S. W. Wong The Boundedness of Solutions of the Equation $ \ddot {x} + f(x, \dot {x}) + g(x) = 0 $ . . . . . . . . . . . . . . . 1084--1098 Murray Schechter A Boundary Layer Phenomenon in Nonlinear Membrane Theory . . . . . . . . . . . . 1099--1114 Eugene L. Lawler Covering Problems: Duality Relations and a New Method of Solution . . . . . . . . 1115--1132 D. R. Cox A Note on the Analysis of a Type of Reliability Trial . . . . . . . . . . . 1133--1142 Roger Wets Programming Under Uncertainty: The Solution Set . . . . . . . . . . . . . . 1143--1151 James A. Mullen The Differential Recursion Formulae for Appell's Hypergeometric Functions of Two Variables . . . . . . . . . . . . . . . 1152--1163 Donald S. Cohen An Integral Transform Associated with Boundary Conditions Containing an Eigenvalue Parameter . . . . . . . . . . 1164--1175 Duane A. Meeter On a Theorem Used in Nonlinear Least Squares . . . . . . . . . . . . . . . . 1176--1179 Frank Deutsch Simultaneous Interpolation and Approximation in Topological Linear Spaces . . . . . . . . . . . . . . . . . 1180--1190 Harbhajan Singh Symmetrical Expansion of a Spherical Dielectric with Faces Maintained at Different Temperatures and Potentials 1191--1198
P. Swerling Classes of Signal Processing Procedures Suggested by Exact Minimum Mean Square Error Procedures . . . . . . . . . . . . 1199--1224 Samuel Zahl Bounds for the Central Limit Theorem Error . . . . . . . . . . . . . . . . . 1225--1245 E. Wong Some Results Concerning the Zero-Crossings of Gaussian Noise . . . . 1246--1254 A. H. Zemanian Some Abelian Theorems for the Distributional Hankel and $K$ Transformations . . . . . . . . . . . . 1255--1265 Alan G. Konheim and Benjamin Weiss An Occupancy Discipline and Applications 1266--1274 Herbert B. Keller Buckling of a Circular Plate Under an Unusual Combined Load . . . . . . . . . 1275--1292 Mats Rudemo On an Absorption and Emission Problem for Random Walk . . . . . . . . . . . . 1293--1297 C. A. Ludeke and J. E. Cornett A Computer Investigation of a Subharmonic Bifurcation Point in the Duffing Equation . . . . . . . . . . . . 1298--1306 R. J. Duffin and Elmor L. Peterson Duality Theory for Geometric Programming 1307--1349 A. H. Zemanian A Distributional $ {K} $ Transformation 1350--1365 Serge J. Zaroodny Trajectory Indicator --- A Proposal . . 1366--1389 Richard M. Karp and Raymond E. Miller Properties of a Model for Parallel Computations: Determinancy, Termination, Queueing . . . . . . . . . . . . . . . . 1390--1411 S. P. Hastings Bounds on the Growth of Solutions of a Nonlinear System . . . . . . . . . . . . 1412--1417 Bennett Fox Markov Renewal Programming by Linear Fractional Programming . . . . . . . . . 1418--1432 J. A. McFadden A Diagonal Expansion in Gegenbauer Polynomials for a Class of Second-Order Probability Densities . . . . . . . . . 1433--1436 Lee D. Davisson Filtering of Time Series with Unknown Mean Value . . . . . . . . . . . . . . . 1437--1445 Daniel Dicker Analysis of Distributed Parameter Networks --- A General Method . . . . . 1446--1453 Norman Bleistein and Robert M. Lewis Space-Time Diffraction for Dispersive Hyperbolic Equations . . . . . . . . . . 1454--1470 J. Boersma Electromagnetic Diffraction by a Unidirectionally Conducting Circular Disk . . . . . . . . . . . . . . . . . . 1471--1495
W. P. Reid Stability of a Towed Object . . . . . . 1--12 Peter Sellers Algebraic Complexes which Characterize Chemical Networks . . . . . . . . . . . 13--68 K. B. Ranger Some Integral Relations for Solutions of Laplace's Equation . . . . . . . . . . . 69--74 Peter J. Ponzo Forced Oscillations of the Generalized Lienard Equation . . . . . . . . . . . . 75--87 Oscar A. Z. Leneman Second-Order Statistics of Alternated Stepwise Processes . . . . . . . . . . . 88--97 R. S. Dhaliwal An Axisymmetric Mixed Boundary Value Problem for a Thick Slab . . . . . . . . 98--106 Chien-Heng Wu and Robert Plunkett On the Solutions of Plates, Strips, Rods, and Cylinders Subjected to Arbitrary Dynamic Edge Load . . . . . . 107--119 Benjamin Rulf Diffraction by a Halfplane in a Uniaxial Medium . . . . . . . . . . . . . . . . . 120--127 J. Genin and J. S. Maybee Some New Stability Results in the Theory of Whirling . . . . . . . . . . . . . . 128--135 Wai-kai Chen On Flow Graph Solutions of Linear Algebraic Equations . . . . . . . . . . 136--142 William E. Boyce A ``Dishonest'' Approach to Certain Stochastic Eigenvalue Problems . . . . . 143--152 A. Holick Effect of Limited Wordlength on Satellite Prediction Accuracy . . . . . 153--167 Ram Prakash Gupta Two Theorems on Pseudosymmetric Graphs 168--171 J. C. Mason Chebyshev Polynomial Approximations for the $L$-Membrane Eigenvalue Problem . . 172--186 Ronald G. Rehm Density Attenuation Within Interacting Crossed Beams of Particles . . . . . . . 187--192 S. F. Bush An Iterative Method for the Solution of Sets of First-Order Hyperbolic Differential Equations . . . . . . . . . 193--206 T. C. Hu Revised Matrix Algorithms for Shortest Paths . . . . . . . . . . . . . . . . . 207--218 W. F. Yau Axisymmetric Slipless Indentation of an Infinite, Elastic Cylinder . . . . . . . 219--227 A. H. Zemanian Errata: ``The Distributional Laplace and Mellin Transformations'' [SIAM J. Appl. Math. \bf 14 (1966), no. 1, 41--59] . . 227--227 A. C. Williams Errata: ``On Stochastic Linear Programming'' [J. SIAM \bf 13 (1965), no. 4, 927--940] . . . . . . . . . . . . 228--228 Edwin Weiss Addendum: Linear Codes of Constant Weight . . . . . . . . . . . . . . . . . 229--230
R. D. Barnard On the Asymptotic Behavior of Parameter-Dependent Functional Equations 231--240 Israel Navot The Synthesis of Certain Subclasses of Tridiagonal Matrices with Prescribed Eigenvalues . . . . . . . . . . . . . . 241--251 E. Cinlar Decomposition of a Semi-Markov Process Under a State Dependent Rule . . . . . . 252--263 D. B. MacMillan Note on a Paper by J. Spanier Concerning Monte Carlo Estimators ``Two Pairs of Families of Estimators for Transport Problems'' [SIAM J. Appl. Math. \bf 14 (1966), no. 4, 702--713] . . . . . . . . 264--268 Armen G. Fisher On Construction and Properties of the Generalized Inverse . . . . . . . . . . 269--272 Frances Bauer and Herbert B. Keller and Edward L. Reiss Boundary Imperfections in the Buckling of Spherical Caps . . . . . . . . . . . 273--283 P. P. Varaiya Nonlinear Programming in Banach Space 284--293 K. Ritter Duality for Nonlinear Programming in a Banach Space . . . . . . . . . . . . . . 294--302 D. L. Iglehart and A. P. Lalchandani An Allocation Model . . . . . . . . . . 303--323 A. H. Zemanian A Generalized Convolution Transformation 324--346 V. P. Sreedharan and H. H. Wein A Stochastic, Multistage, Multiproduct Investment Model . . . . . . . . . . . . 347--358 Deborah Tepper Haimo Series Representation of Generalized Temperature Functions . . . . . . . . . 359--367 Karl Gustafson Stability Inequalities for Semimonotonically Perturbed Nonhomogeneous Boundary Problems . . . . 368--391 L. E. Payne On the Stability of Solutions of the Navier--Stokes Equations and Convergence to Steady State . . . . . . . . . . . . 392--405 A. B. Owens and H. M. Trent On Determining Minimal Singularities for the Realizations of an Incidence Sequence . . . . . . . . . . . . . . . . 406--418 D. H. Sattinger On the Rayleigh Problem in Hydrodynamic Stability . . . . . . . . . . . . . . . 419--425 W. J. Coles and T. L. Sherman Convergence of Successive Approximations for Nonlinear Two-Point Boundary Value Problems . . . . . . . . . . . . . . . . 426--433 Thomas M. Cover The Number of Linearly Inducible Orderings of Points in $d$-Space . . . . 434--439 P. P. Varaiya On Determinable Classes of Signals and Linear Channels . . . . . . . . . . . . 440--449 E. Cumberbatch Nonlinear Effects in Transmission Lines 450--463 Angelo Miele and David G. Hull Sufficiency Proofs for the Problem of the Optimum Transversal Contour . . . . 464--477
N. W. Gowar A Note on the Response Time of the Vacuo-Thermo-Junction . . . . . . . . . 479--483 Ivo Marek $ u_0 $-Positive Operators and Some of their Applications . . . . . . . . . . . 484--494 Milton E. Rose On the Melting of a Slab . . . . . . . . 495--504 Anthony V. Fiacco and Garth P. McCormick The Slacked Unconstrained Minimization Technique for Convex Programming . . . . 505--515 Norman Morrison Smoothing and Extrapolation of Time Series by Means of Discrete Laguerre Polynomials . . . . . . . . . . . . . . 516--538 M. R. Osborne Numerical Methods for Hydrodynamic Stability Problems . . . . . . . . . . . 539--557 Jacques E. Benveniste Projective Solution of the Dirichlet Problem for Boundaries with Angular Points . . . . . . . . . . . . . . . . . 558--568 Michael Maschler and Bezalel Peleg The Structure of the Kernel of a Cooperative Game . . . . . . . . . . . . 569--604 J. D. Cole and H. B. Keller and P. G. Saffman The Flow of a Viscous Compressible Fluid Through a Very Narrow Gap . . . . . . . 605--617 P. R. Vein Functions Which Satisfy Abel's Differential Equation . . . . . . . . . 618--623 Michael F. Capobianco Tournaments and Tensor Products of Digraphs . . . . . . . . . . . . . . . . 624--626 B. A. Troesch Fluid Motion in a Shallow Trapezoidal Container . . . . . . . . . . . . . . . 627--636 Peter H. Sellers Stoichiometric Equations are Mathematical Equations . . . . . . . . . 637--640 Garth P. McCormick Second Order Conditions for Constrained Minima . . . . . . . . . . . . . . . . . 641--652 Arthur M. Geoffrion Reducing Concave Programs with Some Linear Constraints . . . . . . . . . . . 653--664 Philip W. Schaefer Pointwise Bounds in the Cauchy Problem for an Elliptic System . . . . . . . . . 665--677 David J. McGill and Kenneth H. Lenzen Polar Axisymmetric Free Oscillations of Thick Hollowed Tori . . . . . . . . . . 678--692 Richard M. Karp and Michael Held Finite-State Processes and Dynamic Programming . . . . . . . . . . . . . . 693--718 Arthur R. Butz Iterative Saddle Point Techniques . . . 719--725 R. A. McLean and M. F. Neuts The Integral of a Step Function Defined on a Semi-Markov Process . . . . . . . . 726--737 Lawrence M. Perko A Method of Error Estimation in Singular Perturbation Problems with Application to the Restricted Three Body Problem . . 738--753 C. A. Desoer and P. Varaiya The Minimal Realization of a Nonanticipative Impulse Response Matrix 754--764 A. H. Zemanian Errata: ``A Distributional $K$ Transformation'' [SIAM J. Appl. Math. 14 (1966), no. 6, 1350--1365] . . . . . . . 765--765
Kurt Kreith Disconjugacy in $ {E}^n $ . . . . . . . 767--770 T. T. Soong and D. A. Prelewicz On Perturbation Solutions to Linear System Dynamics-II . . . . . . . . . . . 771--774 Edward C. Posner Properties of Error-Correcting Codes at Low Signal-To-Noise Ratios . . . . . . . 775--798 J. R. Cannon and D. L. Filmer The Determination of Unknown Parameters in Analytic Systems of Ordinary Differential Equations . . . . . . . . . 799--809 James McKenna Note on ``Asymptotic Expansions of Fourier Integrals Involving Logarithmic Singularities'' [J. SIAM \bf 4 (1956), no. 1, 38--47], by A. Erdélyi . . . . . . 810--812 D. R. Westbrook Applications of Asymptotic Integration to Potential Problems in Shells. II: The Flexure Problem of St. Venant . . . . . 813--823 Richard A. Handelsman and Joseph B. Keller The Electrostatic Field around a Slender Conducting Body of Revolution . . . . . 824--841 Philip H. Francis and Kwan Rim A Method of Solving Certain Plane Problems of Contained Elasto-Plasticity 842--855 William T. Reid Generalized Green's Matrices for Two-Point Boundary Problems . . . . . . 856--870 N. J. Pullman A Property of Infinite Products of Boolean Matrices . . . . . . . . . . . . 871--873 Geza Schay, Jr. and Francis W. Dauer A Probabilistic Model of a Self-Organizing File System . . . . . . 874--888 James S. W. Wong Some Stability Conditions for $ x'' + a(t)x^{2n - 1} = 0 $ . . . . . . . . . . 889--892 M. M. Siddiqui Strong Law of Large Numbers for Branching Processes . . . . . . . . . . 893--897 B. H. Mayoh On the Simplification of Logical Expressions . . . . . . . . . . . . . . 898--905 M. Sakarovitch and R. Saigal An Extension of Generalized Upper Bounding Techniques for Structured Linear Programs . . . . . . . . . . . . 906--914 Donald Ludwig An Extension of the Validity of the Stationary Phase Formula . . . . . . . . 915--923 A. H. Zemanian Preface (in The Applications of Generalized Functions) . . . . . . . . . 925--927 H. J. Bremermann Some Remarks on Analytic Representations and Products of Distributions (in The Applications of Generalized Functions) 929--943 E. M. De Jager The Lorentz-Invariant Solutions of the Klein--Gordon Equation (in The Applications of Generalized Functions) 944--963 W. Guttinger Generalized Functions in Elementary Particle Physics and Passive System Theory: Recent Trends and Problems (in The Applications of Generalized Functions) . . . . . . . . . . . . . . . 964--1000 R. W. Newcomb and B. D. O. Anderson A Distributional Approach to Time-Varying Sensitivity (in The Applications of Generalized Functions) 1001--1010 E. J. Beltrami Dissipative Operators, Positive Real Resolvents and the Theory of Distributions (in The Applications of Generalized Functions) . . . . . . . . . 1011--1017 Vaclav Dolezal On Linear Passive $n$-Ports with Time-Varying Elements (in The Applications of Generalized Functions) 1018--1029 W. Guttinger and E. Pfaffelhuber Unrenormalizable Field Theories in Terms of Lorentz-Invariant Generalized Functions (in The Applications of Generalized Functions) . . . . . . . . . 1030--1045 Arthur M. Jaffe A Generalization of the Paley--Wiener--Schwartz Theorem (in The Applications of Generalized Functions) 1046--1047 T. P. G. Liverman Physically Motivated Definitions of Distributions (in The Applications of Generalized Functions) . . . . . . . . . 1048--1076 E. J. Beltrami and M. R. Wohlers The Cauchy Integral of Tempered Distributions and Some Theorems on Analytic Continuation (in The Applications of Generalized Functions) 1077--1087 A. H. Zemanian A Generalized Weierstrass Transformation (in The Applications of Generalized Functions) . . . . . . . . . . . . . . . 1088--1105 A. H. Zemanian A Solution of a Division Problem Arising from Bessel-Type Differential Equations (in The Applications of Generalized Functions) . . . . . . . . . . . . . . . 1106--1111
P. M. Pruzan and B. Munch-Andersen On the Application of Dynamic Programming-Type Algorithms to Antenna Design . . . . . . . . . . . . . . . . . 1113--1129 M. Stippes and D. Shadman Traction Problems in Plane Elasticity 1130--1135 V. G. Sigillito A Priori Inequalities and Pointwise Bounds for Solutions of Fourth Order Elliptic Partial Differential Equations 1136--1155 S. L. Mehndiratta Self-Duality in Mathematical Programming 1156--1157 A. C. Lazer On the Computation of Periodic Solutions of Weakly Nonlinear Differential Equations . . . . . . . . . . . . . . . 1158--1170 J. F. P. Martin Some Results on Matrices which Commute with Their Derivatives . . . . . . . . . 1171--1183 Adi Ben-Israel On the Geometry of Subspaces in Euclidean $n$-Spaces . . . . . . . . . . 1184--1198 T. K. Caughey Effect of Vibration on the Accuracy of a Vertical Reference Pendulum . . . . . . 1199--1208 Yvain M. Treve On a Class of Solutions of the Blasius Equation with Applications . . . . . . . 1209--1227 B. Rothschild and A. Whinston Maximal Two-Way Flows . . . . . . . . . 1228--1238 C. E. Langenhop On Generalized Inverses of Matrices . . 1239--1246 Oliver Aberth The Transformation of Tensors into Diagonal Form . . . . . . . . . . . . . 1247--1252 Leopold B. Willner On Parametric Linear Programming . . . . 1253--1257 L. R. Bragg On the Solution Structure of Radial Heat Problems with Singular Data . . . . . . 1258--1271 Chi-Tsong Chen Linear Independence of Analytic Functions . . . . . . . . . . . . . . . 1272--1274 E. C. Tomastik Oscillation of a Nonlinear Second Order Differential Equation . . . . . . . . . 1275--1277 N. K. Jaiswal and K. Thiruvengadam Finite-Source Priority Queues . . . . . 1278--1293 William F. Tyndall An Extended Duality Theorem for Continuous Linear Programming Problems 1294--1298 David W. Walkup and Roger J.-B. Wets Stochastic Programs with Recourse . . . 1299--1314 Charles B. Balogh Asymptotic Expansions of the Modified Bessel Function of the Third Kind of Imaginary Order . . . . . . . . . . . . 1315--1323 Samuel A. Musa Integral Constraints in Weakly Nonlinear Periodic Systems . . . . . . . . . . . . 1324--1327 Herbert Scarf The Approximation of Fixed Points of a Continuous Mapping . . . . . . . . . . . 1328--1343 U. Passy and D. J. Wilde Generalized Polynomial Optimization . . 1344--1356 Walter E. Gibson An Exact Solution for a Class of Stochastic Partial Differential Equations . . . . . . . . . . . . . . . 1357--1362
R. C. Morgan and F. C. Karal and S. N. Karp Solution to the Phenomenological Problem of a Magnetic Line Source Above a Plane Structure that Supports $ {N} $-Excited Modes . . . . . . . . . . . . . . . . . 1363--1377 Howard J. Weiner Nonlinear Predictors Depending on the Last Observation . . . . . . . . . . . . 1378--1384 R. S. Bucy Two-Point Boundary Value Problems of Linear Hamiltonian Systems . . . . . . . 1385--1389 T. Kamae A Graph-Theoretical Proof of an Adjacency Property of Major Submatrices 1390--1399 C. A. Swanson and V. B. Headley An Extension of Airy's Equation . . . . 1400--1412 John Z. Hearon On the Singularity of a Certain Bordered Matrix . . . . . . . . . . . . . . . . . 1413--1421 Norman Bleistein and Richard A. Handelsman Uniform Asymptotic Expansions of Certain Integrals . . . . . . . . . . . . . . . 1422--1433 Peter Wolfe A New Approach to Edge Diffraction . . . 1434--1469 T. T. Kadota Simultaneous Diagonalization of Two Covariance Kernels and Application to Second Order Stochastic Processes . . . 1470--1480 P. A. Franaszek On Linear Systems which Preserve Wide Sense Stationarity . . . . . . . . . . . 1481--1484 A. J. Bernstein Maximally Connected Arrays on the $n$-Cube . . . . . . . . . . . . . . . . 1485--1489 K. S. Miller and Harold Sackrowitz Relationships Between Biased and Unbiased Rayleigh Distributions . . . . 1490--1495 R. S. Booth Location of Zeros of Derivatives . . . . 1496--1501 William F. Trench Weighting Coefficients for the Prediction of Stationary Time Series from the Finite Past . . . . . . . . . . 1502--1510 Ernest Cockayne Plane Pursuit with Curvature Constraints 1511--1516 T. C. Hu Errata: ``Revised Matrix Algorithms for Shortest Paths'' [SIAM J. Appl. Math. \bf 15 (1967), no. 1, 207--218] . . . . 1517--1517
E. N. Gilbert and H. O. Pollak Steiner Minimal Trees . . . . . . . . . 1--29 Robert P. Gilbert An Investigation of the Analytic Properties of Solutions to the Generalized Axially Symmetric, Reduced Wave Equation in $ n + 1 $ Variables, with an Application to the Theory of Potential Scattering . . . . . . . . . . 30--50 Isao Shirakawa and Tadao Kasami and Hiroshi Ozaki On the Coding of the Path in a Graph and Some Applications . . . . . . . . . . . 51--61 M. P. Epstein The Use of Resultants to Locate Extreme Values of Polynomials . . . . . . . . . 62--70 G. E. Barr A Note on Integrals Involving Parabolic Cylinder Functions . . . . . . . . . . . 71--74 James F. Geer and Joseph B. Keller Uniform Asymptotic Solutions for Potential Flow Around a Thin Airfoil and the Electrostatic Potential About a Thin Conductor . . . . . . . . . . . . . . . 75--101 Bezalel Peleg Centralized Games . . . . . . . . . . . 102--104 Anthony V. Fiacco Second Order Sufficient Conditions for Weak and Strict Constrained Minima . . . 105--108 E. E. Burniston On the Flexure of an Infinite Elastic Plate Containing a Large Unstressed Circular Hole . . . . . . . . . . . . . 109--125 R. P. Srivastav and K. S. Parihar Dual and Triple Integral Equations Involving Inverse Mellin Transforms . . 126--133 Morris Skibinsky Minimax Estimation of a Random Probability . . . . . . . . . . . . . . 134--145 Roger M. Goldwyn and L. de L. Sloan A Geometrical Method of Solving Second Order Nonlinear Differential Equations 146--154 Gene A. Kemper Almost Periodic Functional Differential Equations . . . . . . . . . . . . . . . 155--161 J. T. Chu and K. Ya'coub Linear Order Estimates Using Subsamples 162--166 Chi Yeung Lo Singular Behavior of Zonal Hyperspherical Harmonic Series . . . . . 167--180 Douglas R. Anderson A New Class of Cyclic Codes . . . . . . 181--197 R. A. Smith Matrix Equation $ {XA} + {BX} = {C} $ 198--201 M. J. Moran and R. A. Gaggioli Reduction of the Number of Variables in Systems of Partial Differential Equations, with Auxiliary Conditions . . 202--215 Arthur Gill Synthesis of Linear Sequential Circuits from Input-Output Relations . . . . . . 216--227 G. E. Hunt The Transport Equation of Radiative Transfer with Axial Symmetry . . . . . . 228--237 D. Varon and R. B. Kieburtz and B. R-S. Cheo A Perturbation Analysis of a Log-Periodic Structure . . . . . . . . . 238--254
Sadia M. Makky Rupture Surfaces of a Thick Spherical Shell Under Internal Pressure . . . . . 255--267 H. Y. Yee and L. B. Felsen and J. B. Keller Ray Theory of Reflection from the Open End of a Waveguide . . . . . . . . . . . 268--300 T. A. Porsching On the Spectrum of a Matrix Arising from a Problem in Reactor Kinetics . . . . . 301--317 M. A. Hanson Duality for a Class of Infinite Programming Problems . . . . . . . . . . 318--323 K. T. Marshall Some Relationships Between the Distributions of Waiting Time, Idle Time and Interoutput Time in the $ {GI} / {G} / 1 $ Queue . . . . . . . . . . . . . . 324--327 S. K. Basu On Reduction of Program Schemes . . . . 328--339 J. W. Moon and L. Moser On the Correlation Function of Random Binary Sequences . . . . . . . . . . . . 340--343 Yvain M. Treve On the Nonlinear Behavior of a Pulsed MHD Converter . . . . . . . . . . . . . 344--362 U. Passy and D. J. Wilde A Geometric Programming Algorithm for Solving Chemical Equilibrium Problems 363--373 Yih-o Tu Perturbation Solution of Plane Stress Problems in Anisotropic Elasticity . . . 374--386 David P. Brown Topological Properties of Resistance Matrices . . . . . . . . . . . . . . . . 387--394 W. F. Pfeffer On the Stress Equations for a Heated Rotating Disc . . . . . . . . . . . . . 395--407 Isao Shirakawa and Hiromitsu Takahashi and Hiroshi Ozaki On the Planar Decomposition of a Complete Bipartite Graph . . . . . . . . 408--416 L. Lewin The Solution of Singular Integral Equations over a Multiple Interval and Applications to Multiple Diaphragms in Rectangular Waveguide . . . . . . . . . 417--438 W. E. Donath Statistical Properties of the Placement of a Graph . . . . . . . . . . . . . . . 439--457
Anonymous Back Matter . . . . . . . . . . . . . . ?? L. R. Bragg and J. W. Dettman Related Partial Differential Equations and Their Applications . . . . . . . . . 459--467 E. V. Denardo and B. L. Fox Multichain Markov Renewal Programs . . . 468--487 G. H. Meyer On a General Theory of Characteristics and the Method of Invariant Imbedding 488--509 T. K. Boehme and R. E. Powell Positive Linear Operators Generated by Analytic Functions . . . . . . . . . . . 510--519 James Turner Generalized Matrix Functions and the Graph Isomorphism Problem . . . . . . . 520--526 Bezalel Peleg On Weights of Constant-Sum Majority Games . . . . . . . . . . . . . . . . . 527--532 Zakkula Govindarajulu Certain General Properties of Unbiased Estimates of Location and Scale Parameters Based on Ordered Observations 533--551 E. Masry and K. Steiglitz and B. Liu Bases in Hilbert Space Related to the Representation of Stationary Operators 552--562 D. W. Bresters On Distributions Connected with Quadratic Forms . . . . . . . . . . . . 563--581 W. F. Lucas A Game in Partition Function Form With No Solution . . . . . . . . . . . . . . 582--585 W. E. Olmstead A Class of Viscous Flows Derivable From Diffraction Theory . . . . . . . . . . . 586--595 Craig Comstock On Lighthill's Method of Strained Coordinates . . . . . . . . . . . . . . 596--602 Wai-Kai Chen On Unisignants and Their Evaluation . . 603--619 C. C. Conley The Retrograde Circular Solutions of the Restricted Three-Body Problem Via a Submanifold Convex to the Flow . . . . . 620--625 L. L. Campbell Sampling Theorem for the Fourier Transform of a Distribution with Bounded Support . . . . . . . . . . . . . . . . 626--636 Z. W. Birnbaum and Sam C. Saunders A Probabilistic Interpretation of Miner's Rule . . . . . . . . . . . . . . 637--652
Don L. Bunker Some Molecular Applications of Monte Carlo Methods . . . . . . . . . . . . . 653--661 R. J. Duffin and L. A. Karlovitz Formulation of Linear Programs in Analysis. I: Approximation Theory . . . 662--675 Lawrence B. Horwitz and Philip E. Sarachik Davidon's Method in Hilbert Space . . . 676--695 Gary Chartrand and Hudson V. Kronk Randomly Traceable Graphs . . . . . . . 696--700 T. O. Lewis and T. G. Newman Pseudoinverses of Positive Semidefinite Matrices . . . . . . . . . . . . . . . . 701--703 D. B. MacMillan Asymptotic Methods for Systems of Differential Equations in which Some Variables Have Very Short Response Times 704--722 Theodore Katsanis A Numerical Method for the Solution of Certain Neumann Problems . . . . . . . . 723--731 C. C. Conley Low Energy Transit Orbits in the Restricted Three-Body Problem . . . . . 732--746 James E. Howard Asymmetric Oscillations . . . . . . . . 747--755 E. Wong Two-Dimensional Random Fields and Representation of Images . . . . . . . . 756--770 David Colton Jacobi Polynomials of Negative Index and a Nonexistence Theorem for the Generalized Axially Symmetric Potential Equation . . . . . . . . . . . . . . . . 771--776 Raymond T. Yeh Finite Covers with Substitution Property on Infinite Automata . . . . . . . . . . 777--782 D. S. Ahluwalia and R. M. Lewis and J. Boersma Uniform Asymptotic Theory of Diffraction by a Plane Screen . . . . . . . . . . . 783--807 J. Bazer and David H. Y. Yen Steady Magnetogasdynamic Flow Past a Point Source . . . . . . . . . . . . . . 808--833 Joseph L. Neuringer Green's Function for an Instantaneous Line Particle Source Diffusion in a Gravitational Field and Under the Influence of a Linear Shear Wind . . . . 834--842 R. P. Bland and T. L. Bratcher A Bayesian Approach to the Problem of Ranking Binomial Probabilities . . . . . 843--850 Anton Zettl Adjoint and Self-Adjoint Boundary Value Problems with Interface Conditions . . . 851--859 G. W. Swan The Semi-Infinite Cylinder with Prescribed End Displacements . . . . . . 860--881 Robert D. Zucker Interpretation of the Singularities in Lamé Products of the Second Kind . . . . 882--887
J. L. Brenner New Root-Location Theorems for Partitioned Matrices . . . . . . . . . . 889--898 Norman Z. Shapiro and Lloyd S. Shapley On Membrane Equilibria . . . . . . . . . 899--923 R. Saeks Synthesis of General Linear Networks . . 924--930 R. D. Milne An Oblique Matrix Pseudoinverse . . . . 931--944 E. L. Koh and A. H. Zemanian The Complex Hankel and $ {I} $-Transformations of Generalized Functions . . . . . . . . . . . . . . . 945--957 Nazmi M. Shehadeh On the Distribution of the Coefficients of Some Polynomials . . . . . . . . . . 958--963 I. Tadjbakhsh An Optimum Design Problem for the Nonlinear Elastica . . . . . . . . . . . 964--972 D. K. Ray-Chaudhuri Combinatorial Information Retrieval Systems for Files . . . . . . . . . . . 973--992 Jon Folkman and Norman Shapiro Approximating One Convex Function by Another . . . . . . . . . . . . . . . . 993--997 J. A. Marlin and D. F. Ullrich Periodic Solutions of Second Order Nonlinear Differential Equations Without Damping . . . . . . . . . . . . . . . . 998--1010 Stanley P. Gudder Elementary Length Topologies in Physics 1011--1019 Antony Jameson Solution of the Equation $ {AX} + {XB} = {C} $ by Inversion of an $ {M} \times {M} $ or $ {N} \times {N} $ Matrix . . . 1020--1023 J. A. Morrison An Averaging Scheme for Some Nonlinear Resonance Problems . . . . . . . . . . . 1024--1047 Harry L. Johnson The Existence of a Periodic Solution of a Vibrating Hanging String . . . . . . . 1048--1058 Richard J. Hanson Simplification of Second Order Systems of Ordinary Differential Equations with a Turning Point . . . . . . . . . . . . 1059--1080 A. E. Hurd and A. Robinson On Flexural Wave Propagation in Nonhomogeneous Elastic Plates . . . . . 1081--1089 David G. Luenberger Quasi-Convex Programming . . . . . . . . 1090--1095 E. J. Beltrami On the Meromorphic Character of Scattering Matrices for Lossless Systems 1096--1100 R. P. Srivastav and Prem Narain A Mixed Boundary Value Problem of Elastostatics for an Isotropic Elastic Cylinder Containing a Strip Crack Opened by Internal Pressure . . . . . . . . . . 1101--1118 Stephen P. Diliberto Scale Factors for Periodic Surfaces . . 1119--1122
A. H. Gray, Jr. Level Touchings in a Restricted Random Walk . . . . . . . . . . . . . . . . . . 1123--1129 Herbert B. Rosenstock Level Touchings in a Random Walk . . . . 1130--1131 W. P. Kotorynski On An Irregular Sturm--Liouville Problem in Boundary Layer Theory . . . . . . . . 1132--1140 Dennis P. Geller and Frank Harary Arrow Diagrams Are Line Digraphs . . . . 1141--1145 R. Yarlagadda An Application of Tridiagonal Matrices to Network Synthesis . . . . . . . . . . 1146--1162 Z. Ditzian Inversion of Transforms of Generalized Functions . . . . . . . . . . . . . . . 1163--1172 J. Sklansky and K. R. Kaplan The Delay Method of Analyzing Markov Chains . . . . . . . . . . . . . . . . . 1173--1183 Saul Blumenthal Logarithms of Sample Spacings . . . . . 1184--1191 C. E. Radke Classes of Matrices with Distinct, Real Characteristic Values . . . . . . . . . 1192--1207 James S. Vandergraft Spectral Properties of Matrices which Have Invariant Cones . . . . . . . . . . 1208--1222 S. J. Farlow An Existence Theorem for Periodic Solutions of a Parabolic Boundary Value Problem of the Second Kind . . . . . . . 1223--1226 Leon Kotin On Positive and Periodic Solutions of Riccati Equations . . . . . . . . . . . 1227--1231 Jeremy F. Shapiro Shortest Route Methods for Finite State Space Deterministic Dynamic Programming Problems . . . . . . . . . . . . . . . . 1232--1250 J. M. S. Simoes Pereira Boolean Permanents, Permutation Graphs and Products . . . . . . . . . . . . . . 1251--1254 G. E. Hunt Radiative Transfer in a Homogeneous Cylindrical Atmosphere . . . . . . . . . 1255--1265 Edward B. Magrab and Donald J. Ochsner Transient Response of a Viscoelastic Bar Subjected to a Time Dependent End-Displacement . . . . . . . . . . . . 1266--1279 Norman Morrison Smoothing and Extrapolation of Continuous Time Series Using Laguerre Polynomials . . . . . . . . . . . . . . 1280--1304 Constantine M. Dafermos Stability of Orientation Patterns of Liquid Crystals Subject to Magnetic Fields . . . . . . . . . . . . . . . . . 1305--1318 Leonard Weiss Converse Theorems for Finite Time Stability . . . . . . . . . . . . . . . 1319--1324 Vincent Lum and R. T. Chien On the Minimum Distance of Bose-Chaudhuri-Hocquenghem Codes . . . . 1325--1337 A. Erdélyi Some Dual Integral Equations . . . . . . 1338--1340 H. I. Freedman Estimates on the Existence Region for Periodic Solutions of Equations Involving a Small Parameter. I: The Noncritical Case . . . . . . . . . . . . 1341--1349 W. L. Root and P. P. Varaiya Capacity of Classes of Gaussian Channels 1350--1393 D. W. Walkup Minimal Conditions for Association of Binary Variables . . . . . . . . . . . . 1394--1403
Robert Morris Some Theorems on Sorting . . . . . . . . 1--6 T. L. Boullion and P. L. Odell A Note on the Scroggs-Odell Pseudoinverse . . . . . . . . . . . . . 7--10 Chia C. Wang Comma-Free Ternary Triorthogonal Code 11--32 G. W. Stewart On the Continuity of the Generalized Inverse . . . . . . . . . . . . . . . . 33--45 B. Rothfarb and I. T. Frisch On the 3-Commodity Flow Problem . . . . 46--58 F. A. Williams A Nonlinear Diffusion Problem Relevant to Desalination by Reverse Osmosis . . . 59--73 Daniel P. Heyman A Priority Queueing System with Server Interference . . . . . . . . . . . . . . 74--82 N. Z. Shapiro An Inequality Concerning the Minimum of the Sum of an Arbitrary Function and a Linear Function . . . . . . . . . . . . 83--97 David W. Walkup and Roger J.-B. Wets Stochastic Programs with Recourse II: On the Continuity of the Objective . . . . 98--103 G. G. Legatos and V. A. Staikos On Certain Families of Solutions of Third Order Ordinary Differential Equations . . . . . . . . . . . . . . . 104--108 R. C. Grimmer Asymptotically Almost Periodic Solutions of Differential Equations . . . . . . . 109--115 B. C. Carlson A Connection Between Elementary Functions and Higher Transcendental Functions . . . . . . . . . . . . . . . 116--148 J. A. Davis and L. A. Hageman An Iterative Method for Solving the Neutron Transport Equation in $ x - y $ Geometry . . . . . . . . . . . . . . . . 149--171 R. W. Dickey The Nonlinear String Under a Vertical Force . . . . . . . . . . . . . . . . . 172--178 R. J. Duffin The Influence of Poisson's Ratio on the Vibrational Spectrum . . . . . . . . . . 179--191 William C. Hardy A Recursion Method of Solution for Occupancy Problems . . . . . . . . . . . 192--197 V. W. Noonburg Roots of a Transcendental Equation Associated with a System of Differential-Difference Equations . . . 198--205 H. O. Pollak and Lowell Schoenfeld The Asymptotic Estimation of a Laplace Transform-arising in the Theory of Magnetoresistance . . . . . . . . . . . 206--211 J. W. Rainey and G. J. Habetler An Application of the $ {LR} $ Factorization to Sequential Tridiagonalization Methods . . . . . . . 212--221
P. Keast On the Solutions of the Wave Equation in One Space Dimension Under Derivative Boundary Conditions . . . . . . . . . . 223--230 Steven Rosencrans On Schwarzschild's Criterion . . . . . . 231--239 Loren P. Meissner High Order Resonance for Duffing's Differential Equation . . . . . . . . . 240--250 L. Carlitz Solution of Certain Recurrences . . . . 251--259 M. C. Shen Asymptotic Theory of Unsteady Three-Dimensional Waves in a Channel of Arbitrary Cross Section . . . . . . . . 260--271 Bruce H. Stephan Asymptotic Behavior of a Functional Differential Equation with Bounded Lag 272--279 P. K. C. Wang A Maximum Property of Cauchy's Problem for the Multigroup Neutron Transport Equation . . . . . . . . . . . . . . . . 280--286 E. J. McShane Stochastic Integrals and Stochastic Functional Equations . . . . . . . . . . 287--306 H. W. Gould Power Sum Identities for Arbitrary Symmetric Arrays . . . . . . . . . . . . 307--316 Elmor L. Peterson and Joseph G. Ecker Geometric Programming: Duality in Quadratic Programming and $ l_p $-Approximation II (Canonical Programs) 317--340 Saul I. Drobnies A Note on a Method of Bellman and Richardson in Perturbation Theory . . . 341--342 James H. Taylor and Kumpati S. Narendra Stability Regions for the Damped Mathieu Equation . . . . . . . . . . . . . . . . 343--352 Martin Fox and George S. Kimeldorf Noisy Duels . . . . . . . . . . . . . . 353--361 D. Jagerman $ \epsilon $-Entropy and Approximation of Bandlimited Functions . . . . . . . . 362--377 Jane W. Di Paola On Minimum Blocking Coalitions in Small Projective Plane Games . . . . . . . . . 378--392 L. M. Silverman and H. E. Meadows Equivalent Realizations of Linear Systems . . . . . . . . . . . . . . . . 393--408 R. S. Booth Location of Zeros of Derivatives. II . . 409--415 R. L. Graham Bounds on Multiprocessing Timing Anomalies . . . . . . . . . . . . . . . 416--429 N. R. Wagner On a Boundary Value Problem Arising in Stochastic Diffusion Problems . . . . . 430--433 Arthur Albert Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses 434--440 K. B. Ranger On Axially Symmetric Magnetohydrostatic Fields . . . . . . . . . . . . . . . . . 441--446 S. C. Schwartz On the Estimation of a Gaussian Convolution Probability Density . . . . 447--453 W. T. Tutte On the Enumeration of Four-Colored Maps 454--460 D. G. Aronson Regularity Properties of Flows Through Porous Media . . . . . . . . . . . . . . 461--467 M. Gutterman An Operational Method in Partial Differential Equations . . . . . . . . . 468--493
Lester A. Rubenfeld and Joseph B. Keller Bounds on Elastic Moduli of Composite Media . . . . . . . . . . . . . . . . . 495--510 B. V. Dasarathy and P. Srinivasan On the Synthesis of a Class of Second Order Nonlinear Differential Equations 511--515 Jack W. Macki An Example in the Theory of Nonlinear Oscillations . . . . . . . . . . . . . . 516--519 T. G. Newman and P. L. Odell On the Concept of A $p$-$q$ Generalized Inverse of a Matrix . . . . . . . . . . 520--525 Edward L. Reiss The Impact Problem for the Klein--Gordon Equation . . . . . . . . . . . . . . . . 526--542 Steven A. Lippman Optimal Inventory Policy with Subadditive Ordering Costs and Stochastic Demands . . . . . . . . . . . 543--559 T. T. Soong An Extension of the Moment Method in Statistical Estimation . . . . . . . . . 560--568 R. E. O'Malley, Jr. On a Boundary Value Problem for a Nonlinear Differential Equation with a Small Parameter . . . . . . . . . . . . 569--581 James E. Falk Maximization of Signal-to-Noise Ratio in an Optical Filter . . . . . . . . . . . 582--592 H. J. Ryser Combinatorial Configurations . . . . . . 593--602 H. Neudecker A Note on Kronecker Matrix Products and Matrix Equation Systems . . . . . . . . 603--606 Franz Pittnauer Holomorphic Functions with Prescribed Asymptotic Expansions . . . . . . . . . 607--613
James S. W. Wong Some Remarks on Hermitian and Anti-Hermitian Properties of Green's Matrices . . . . . . . . . . . . . . . . 615--623 Percy A. Pierre On the Independence of Linear Functionals of Linear Processes . . . . 624--637 R. M. Van Slyke and Roger Wets $ {L} $-Shaped Linear Programs with Applications to Optimal Control and Stochastic Programming . . . . . . . . . 638--663 Alan J. Hoffman The Change in the Least Eigenvalue of the Adjacency Matrix of a Graph Under Imbedding . . . . . . . . . . . . . . . 664--671 Rui J. P. De Figueiredo and Chieng-Yi Chang On the Boundedness of Solutions of Classes of Multidimensional Nonlinear Autonomous Systems . . . . . . . . . . . 672--680 Daniel I. Barnea A Method and New Results for Stability and Instability of Autonomous Functional Differential Equations . . . . . . . . . 681--697 Lawrence M. Perko Higher Order Averaging and Related Methods for Perturbed Periodic and Quasi-Periodic Systems . . . . . . . . . 698--724 Aaron Strauss and James A. Yorke Perturbing Uniformly Stable Linear Systems with and Without Attraction . . 725--738 Donald Goldfarb Extension of Davidon's Variable Metric Method to Maximization Under Linear Inequality and Equality Constraints . . 739--764 A. P. Gallagher On a Proof by Petrov of the Stability of Plane Couette Flow and Plane Poiseuille Flow . . . . . . . . . . . . . . . . . . 765--768 D. H. Tucker Boundary Value Problems for Linear Differential Systems . . . . . . . . . . 769--783 M. Fujii and T. Kasami and K. Ninomiya Optimal Sequencing of Two Equivalent Processors . . . . . . . . . . . . . . . 784--789 B. Wood Generalized Szasz Operators for the Approximation in the Complex Domain . . 790--801 D. R. Jensen Limit Properties of Noncentral Multivariate Rayleigh and Chi-Square Distributions . . . . . . . . . . . . . 802--814 Wilbert Lick Two-Variable Expansions and Singular Perturbation Problems . . . . . . . . . 815--825 L. D. Baumert Difference Sets . . . . . . . . . . . . 826--833
J. N. Pandey Complex Inversion for the Generalized Hankel Convolution Transformation . . . 835--848 W. P. Kotorynski Asymptotic Solutions of the Nonlinear Boussinesq Equations in a Paraboloidal Boundary-Layer . . . . . . . . . . . . . 849--871 David B. Cooper and Ralph J. Schwarz On Suitable Conditions for Statistical Pattern Recognition Without Supervision 872--896 N. P. Shein and I. T. Frisch Vertex Weighted Trees with Fewest Relay Vertices . . . . . . . . . . . . . . . . 897--903 Thomas Polfeldt Integrating Regularly Varying Functions with Exponent -1 . . . . . . . . . . . . 904--908 Robert B. Kelman Flow Past a Cave: A Problem in Potential Theory . . . . . . . . . . . . . . . . . 909--920 Marcel F. Neuts and Jozef L. Teugels Exponential Ergodicity of the $ {M} / {G} / 1 $ Queue . . . . . . . . . . . . 921--929 G. K. Warmbrod The Distributional Finite Fourier Transform . . . . . . . . . . . . . . . 930--956 David A. Sanchez A Note on Periodic Solutions of Riccati-Type Equations . . . . . . . . . 957--959 N. Z. Shapiro A Generalized Technique for Eliminating Species in Complex Chemical Equilibrium Calculations . . . . . . . . . . . . . . 960--971 Charles R. Baker Complete Simultaneous Reduction of Covariance Operators . . . . . . . . . . 972--983 John S. Bradley Conditions for the Existence of Conjugate Points for a Fourth Order Linear Differential Equation . . . . . . 984--991 W. P. Kotorynski A Sturm--Liouville Problem Associated with the Falkner--Skan Equation . . . . 992--995 A. V. Fiacco and A. P. Jones Generalized Penalty Methods in Topological Spaces . . . . . . . . . . . 996--1000 Richard Beals and Tjalling C. Koopmans Maximizing Stationary Utility in a Constant Technology . . . . . . . . . . 1001--1015
R. L. Graham and L. H. Harper Some Results on Matching in Bipartite Graphs . . . . . . . . . . . . . . . . . 1017--1022 Marvin Marcus Inequalities for Matrix Functions of Combinatorial Interest . . . . . . . . . 1023--1031 R. Chandrasekaran Total Unimodularity of Matrices . . . . 1032--1034 J. E. Akin and J. Counts On Rational Approximation to the Inverse Laplace Transform . . . . . . . . . . . 1035--1040 F. Erdogan Approximate Solutions of Systems of Singular Integral Equations . . . . . . 1041--1059 J. W. Bebernes and Russell Wilhelmsen A Technique for Solving Two-Dimensional Boundary Value Problems . . . . . . . . 1060--1064 G. C. Pomraning An Application of the Mathieu Equation to a Radiative Transfer Problem . . . . 1065--1069 Percy A. Pierre The Sample Function Regularity of Linear Random Processes . . . . . . . . . . . . 1070--1077 T. A. Burton On the Construction of Lyapunov Functions . . . . . . . . . . . . . . . 1078--1085 J. F. Dillon and D. P. Roselle Simon Newcomb's Problem . . . . . . . . 1086--1093 Marshall Hall, Jr. Automorphisms of Hadamard Matrices . . . 1094--1101 D. Slepian and T. T. Kadota Four Integral Equations of Detection Theory . . . . . . . . . . . . . . . . . 1102--1117 Adi Ben-Israel On Matrices of Index Zero or One . . . . 1118--1121 J. D. Schuur Saddle-Point Type Behavior for Nonautonomous Second Order Linear Systems of Ordinary Differential Equations . . . . . . . . . . . . . . . 1122--1129 H. Ekblom and S. Henriksson $ {L}_p $-Criteria for the Estimation of Location Parameters . . . . . . . . . . 1130--1141 Branko Grunbaum Some Results on the Upper Bound Conjecture for Convex Polytopes . . . . 1142--1149 Nancy R. Mann Cramer--Rao Efficiencies of Best Linear Invariant Estimators of Parameters of the Extreme-Value Distribution Under Type II Censoring from Above . . . . . . 1150--1162 David Schmeidler The Nucleolus of a Characteristic Function Game . . . . . . . . . . . . . 1163--1170 Klaus Schmitt On Solutions of Nonlinear Differential Equations with Deviating Arguments . . . 1171--1176 C. Tate Aggregates in a Random Distribution of Points in a Cylinder . . . . . . . . . . 1177--1189 George Zyskind and Frank B. Martin On Best Linear Estimation and a General Gauss--Markov Theorem in Linear Models with Arbitrary Nonnegative Covariance Structure . . . . . . . . . . . . . . . 1190--1202 R. C. Bose and Gary G. Koch The Design of Combinatorial Information Retrieval Systems for Files with Multiple-Valued Attributes . . . . . . . 1203--1214 Bela Martos Subdefinite Matrices and Quadratic Forms 1215--1223 I. Norman Katz On the Convergence of a Numerical Scheme for Solving Some Locational Equilibrium Problems . . . . . . . . . . . . . . . . 1224--1231 Romesh Saigal A Proof of the Hirsch Conjecture on the Polyhedron of the Shortest Route Problem 1232--1238 Anthony V. Fiacco A General Regularized Sequential Unconstrained Minimization Technique . . 1239--1245 Harry H. Denman and William J. Larkin, III Invariance Conditions on Ordinary Differential Equations Defining Smoothing Functions . . . . . . . . . . 1246--1257 A. M. Fink Compact Families of Almost Periodic Functions and an Application of the Schauder Fixed-Point Theorem . . . . . . 1258--1262 David G. Luenberger Hyperbolic Pairs in the Method of Conjugate Gradients . . . . . . . . . . 1263--1267 Anton Zettl Adjointness in Nonadjoint Boundary Value Problems . . . . . . . . . . . . . . . . 1268--1279 F. J. Gould Extensions of Lagrange Multipliers in Nonlinear Programming . . . . . . . . . 1280--1297 Reinhoud H. van der Linde Eigenfunctions of Random Eigenvalue Problems and Their Statistical Properties . . . . . . . . . . . . . . . 1298--1304 K. Kuen Tam A Note on the Asymptotic Solution of the Flow Between Two Oppositely Rotating Infinite Plane Disks . . . . . . . . . . 1305--1310 R. G. Stanton and J. G. Kalbfleisch Intersection Inequalities for the Covering Problem . . . . . . . . . . . . 1311--1316 Arnold P. Stokes Some Implications of Orbital Stability in Banach Spaces . . . . . . . . . . . . 1317--1325
Shailendra C. Parikh Equivalent Stochastic Linear Programs 1--5 Jurg Ratz On Isometries of Generalized Inner Product Spaces . . . . . . . . . . . . . 6--9 R. E. Carr Integral Equation Formulation for Certain Interface Boundary Value Problems . . . . . . . . . . . . . . . . 10--18 Jon Folkman Graphs with Monochromatic Complete Subgraphs in Every Edge Coloring . . . . 19--24 Daniel J. Kleitman Minimal Number of Multiple Edges in Realization of an Incidence Sequence Without Loops . . . . . . . . . . . . . 25--28 David R. Kassoy On Laminar Boundary Layer Blowoff . . . 29--40 R. B. Parente Nonlinear Differential Equations and Analytic System Theory . . . . . . . . . 41--66 E. Wong The Distribution of Intervals Between Zeros for a Stationary Gaussian Process 67--73 L. E. Bobisud Oscillation of Nonlinear Differential Equations with Small Nonlinear Damping 74--76 Kane S. Yee Uniqueness Theorems for an Exterior Electromagnetic Field . . . . . . . . . 77--83 Richard C. Grinold Symmetric Duality for Continuous Linear Programs . . . . . . . . . . . . . . . . 84--97 A. H. Zemanian The Hilbert Port . . . . . . . . . . . . 98--138 Harold Willis Milnes and S. K. Hildebrand Nonisolated Minimizing Arcs . . . . . . 139--149 E. J. Cockayne On the Efficiency of the Algorithm for Steiner Minimal Trees . . . . . . . . . 150--159 A. Sotoodehnia and R. C. Erdmann Two-Dimensional Transport in a Slab . . 160--171 Jerome Spanier An Analytic Approach to Variance Reduction . . . . . . . . . . . . . . . 172--190 J. R. Doner and V. R. R. Uppuluri A Markov Chain Structure for Riff Shuffling . . . . . . . . . . . . . . . 191--209 T. K. Caughey Large Amplitude Whirling of an Elastic String --- A Nonlinear Eigenvalue Problem . . . . . . . . . . . . . . . . 210--237 Alvin B. Owens On Determining the Minimum Number of Multiple Edges for an Incidence Sequence 238--240 A. F. Messiter Boundary-Layer Flow Near the Trailing Edge of a Flat Plate . . . . . . . . . . 241--257
William T. Reid Some Elementary Properties of Proper Values and Proper Vectors of Matrix Functions . . . . . . . . . . . . . . . 259--266 James H. Taylor and Kumpati S. Narendra The Corduneanu--Popov Approach to the Stability of Nonlinear Time-Varying Systems . . . . . . . . . . . . . . . . 267--281 Prem N. Bajaj Singular Points in Products of Semidynamical Systems . . . . . . . . . 282--286 Daljit S. Ahluwalia Uniform Asymptotic Theory of Diffraction by the Edge of a Three-Dimensional Body 287--301 Solomon W. Golomb and Lloyd R. Welch Perfect Codes in the Lee Metric and the Packing of Polyominoes . . . . . . . . . 302--317 R. R. Burnside A Note on Lighthill's Method of Strained Coordinates . . . . . . . . . . . . . . 318--321 D. F. Shanno An Accelerated Gradient Projection Method for Linearly Constrained Nonlinear Estimation . . . . . . . . . . 322--334 Y. M. Chen and P. L. Christiansen Application of a Modified Newton's Iteration Method to Construct Solutions of Eigenvalue Problems of Nonlinear Partial Differential Operators . . . . . 335--345 Keith Miller Stabilized Numerical Analytic Prolongation with Poles . . . . . . . . 346--363 John Wade Ulrich A Characterization of Planar Oriented Graphs . . . . . . . . . . . . . . . . . 364--371 B. Noble and J. R. Whiteman Solution of Dual Trigonometrical Series Using Orthogonality Relations . . . . . 372--379 David G. Cantor and John W. Evans On Approximation by Positive Sums of Powers . . . . . . . . . . . . . . . . . 380--388 Theodore Laetsch Existence and Bounds for Multiple Solutions of Nonlinear Equations . . . . 389--400 Carl D. Meyer, Jr. Generalized Inverses of Triangular Matrices . . . . . . . . . . . . . . . . 401--406 Bernard A. Asner, Jr. On the Total Nonnegativity of the Hurwitz Matrix . . . . . . . . . . . . . 407--414 U. Narayan Bhat Some Queueing Systems with Mixed Disciplines . . . . . . . . . . . . . . 415--432 G. H. Meyer The Invariant Imbedding Equations for Multipoint Boundary Value Problems . . . 433--453 Ralph E. Schwartz Existence and Uniqueness Properties of Subfunctions of Boolean Functions . . . 454--461 Gerhard Mensch Generalization of Akers' Two-Dimensional Job Shop Scheduling Model to $ {J} $ Dimensions . . . . . . . . . . . . . . . 462--466 A. H. Zemanian A Scattering Formulism for the Hilbert Port . . . . . . . . . . . . . . . . . . 467--488 B. Rothfarb and I. T. Frisch Common Terminal Multicommodity Flow with a Concave Objective Function . . . . . . 489--502 C. L. Sabharwal Multiplication of Singularity Functions by Discontinuous Functions in Schwartz Distribution Theory . . . . . . . . . . 503--510 Irving Jack Katz Remarks on a Paper of Ben-Israel: ``On the Geometry of Subspaces in Euclidean $n$-Spaces'' [SIAM J. Appl. Math. 15 (1967), no. 5, 1184--1198] . . . . . . . 511--513 Gregory M. Dunkel On Nested Functional Differential Equations . . . . . . . . . . . . . . . 514--525 Marshall W. Anderson A Stochastic Integral Equation . . . . . 526--532 Arrigo Cellina Multivalued Differential Equations and Ordinary Differential Equations . . . . 533--538
A. Gill Symmetric and Antisymmetric Regular Expressions . . . . . . . . . . . . . . 539--557 Colin E. Bell Improved Algorithms for Inventory and Replacement-Stocking Problems . . . . . 558--566 Louis J. Billera Some Theorems on the Core of an $n$-Person Game Without Side-Payments 567--579 William L. Morris On the Stationary Values of a Fourth-Degree Polynomial on the Unit Sphere . . . . . . . . . . . . . . . . . 580--583 K. A. Zischka On the Integral Form of the Boltzmann Equation of Neutron Transport as Applied to Finite Cells . . . . . . . . . . . . 584--595 E. R. Suryanarayan On a Class of Flows in Fluid Dynamics 596--600 Carl Kallina Periodicity and Stability for Linear and Quasi-Linear Parabolic Equations . . . . 601--613 Ram D. Prasad Probability Distributions of Algebraic Functions of Independent Random Variables . . . . . . . . . . . . . . . 614--626 J. R. Cannon and George H. Knightly Some Continuous Dependence Theorems for Viscous Fluid Motions . . . . . . . . . 627--640 J. R. Cannon and George H. Knightly A Note on the Cauchy Problem for the Navier--Stokes Equations . . . . . . . . 641--644 K. B. Reid Connectivity in Products of Graphs . . . 645--651 R. E. Eaves A Sufficient Condition for the Convergence of an Infinite Determinant 652--657 Thomas J. Osler Leibniz Rule for Fractional Derivatives Generalized and an Application to Infinite Series . . . . . . . . . . . . 658--674 Gunnar Aronsson Axiomatic Derivation of Fermat's Principle . . . . . . . . . . . . . . . 675--681 P. Chr. Muller Solution of the Matrix Equations $ {AX} + {XB} = - {Q} $ and $ {S}^{TX} + {XS} = - {Q} $ . . . . . . . . . . . . . . . . 682--687 David W. Matula On the Number of Subtrees of a Symmetric $n$-Ary Tree . . . . . . . . . . . . . . 688--703 J. Snyders and M. Zakai On Nonnegative Solutions of the Equation $ {AD} + {DA}' = - {C} $ . . . . . . . . 704--714 Hiroshi Onose Oscillatory Property of Certain Nonlinear Ordinary Differential Equations . . . . . . . . . . . . . . . 715--719
M. D. Springer and W. E. Thompson The Distribution of Products of Beta, Gamma and Gaussian Random Variables . . 721--737 Chien-Heng Wu On the Solutions of a Nonlinear Membrane Problem . . . . . . . . . . . . . . . . 738--747 Joseph B. Keller and Stanley Kogelman Asymptotic Solutions of Initial Value Problems for Nonlinear Partial Differential Equations . . . . . . . . . 748--758 Constantine M. Dafermos Wave Equations with Weak Damping . . . . 759--767 James H. Bigelow and James C. Dehaven and Norman Z. Shapiro Chemical Equilibrium Problems with Unbounded Constraint Sets . . . . . . . 768--775 R. E. Martin and Dan D. Drew On the Simplification of the Equations for the Stability Analysis of Anisotropic Cylindrical Shells . . . . . 776--782 Warren E. Shreve Terminal Value Problems for Second Order Nonlinear Differential Equations . . . . 783--791 J. D. Murray and A. B. Tayler An Asymptotic Solution of a Class of Nonlinear Wave Equations: A Model for the Human Torso Under Impulsive Stress 792--809 J. D. Esary and A. W. Marshall Coherent Life Functions . . . . . . . . 810--814 S. C. Sanday Evaluation of the Schwarz--Christoffel Mapping Function for Special Polygons 815--817 John J. Bowman Comparison of Ray Theory with Exact Theory for Scattering by Open Wave Guides . . . . . . . . . . . . . . . . . 818--829 Samuel R. Bland The Two-Dimensional Oscillating Airfoil in a Wind Tunnel in Subsonic Flow . . . 830--848 J. D. Esary and A. W. Marshall and F. Proschan Some Reliability Applications of the Hazard Transform . . . . . . . . . . . . 849--860 T. A. Porsching Time-Dependent Nonlinear Networks . . . 861--871 Bernard J. Matkowsky Nonlinear Dynamic Stability: A Formal Theory . . . . . . . . . . . . . . . . . 872--883 Ora Engelberg Percus and Jerome K. Percus Random Walk and the Comparison of Two Empirical Distributions . . . . . . . . 884--886 M. Lowengrub and R. P. Srivastav Effect of Rigid Inclusions in Griffith Cracks . . . . . . . . . . . . . . . . . 887--893
T. T. Wu and J. L. Nowinski A General Solution in Bipolar Coordinates to Problems Involving Elastic Dislocations . . . . . . . . . . 1--19 Peter Wolfe The Diffraction of Waves by Slits and Strips . . . . . . . . . . . . . . . . . 20--32 William B. Bush Hypersonic Strong-Interaction Solutions for Flow Past a Very Slender Axisymmetric Body . . . . . . . . . . . 33--50 Kurt Kreith Local Essential Self-Adjointness for Singular Elliptic Operators . . . . . . 51--55 W. R. Utz Periodic Solutions of a Nonlinear Second Order Differential Equation . . . . . . 56--59 Paul Nelson, Jr. and T. S. Kress Theory and Iterative Solution of a Model for Fission Product Deposition . . . . . 60--74 F. J. MacWilliams On Binary Cyclic Codes Which are also Cyclic Codes Over $ {GF}(2^s) $ . . . . 75--95 K. E. Swick Asymptotic Behavior of the Solutions of Certain Third Order Differential Equations . . . . . . . . . . . . . . . 96--102 Paul R. Milch and Mark H. Waggoner A Random Walk Approach to a Shutdown Queueing System . . . . . . . . . . . . 103--115 D. L. Clements On the Motion of a Heavy Cylinder Over the Surface of an Anisotropic Elastic Solid . . . . . . . . . . . . . . . . . 116--124 M. Avriel and A. C. Williams Complementary Geometric Programming . . 125--141 A. W. Gillies The Physical Content of Autonne's Lemma 142--143 R. Grimshaw A Progressing Wave Formalism for Surface Waves . . . . . . . . . . . . . . . . . 144--154 B. D. Sivazlian Asymptotic Approximations to Ordering Policies in a Stationary $ (\sigma, {S}) $ Inventory Problem . . . . . . . . . . 155--166 Nariyasu Minamide and Kahei Nakamura A Restricted Pseudoinverse and its Application to Constrained Minima . . . 167--177 Henry R. Richardson Recursive Regression Analysis when the Least-Squares Estimate is Not Asymptotically Efficient . . . . . . . . 178--190 M. Blum On the Sums of Independently Distributed Pareto Variates . . . . . . . . . . . . 191--198 John Locker An Existence Analysis for Nonlinear Boundary Value Problems . . . . . . . . 199--207 R. W. Dickey Infinite Systems of Nonlinear Oscillation Equations with Linear Damping . . . . . . . . . . . . . . . . 208--214 Tyrone E. Duncan On the Calculation of Mutual Information 215--220 William B. Day and William E. Boyce On the Relationship Between the Solution of a Stochastic Boundary Value Problem and Parameters in the Boundary Conditions . . . . . . . . . . . . . . . 221--234 Johann Schroder Range-Domain Implications for Linear Operators . . . . . . . . . . . . . . . 235--242 Roger L. Fosdick On the Complete Representation of Biharmonic Functions . . . . . . . . . . 243--250 Sam C. Saunders A Probabilistic Interpretation of Miner's Rule. II . . . . . . . . . . . . 251--265
P. A. Lee An Integral Representation and Some Summation Formulas for the Hahn Polynomials . . . . . . . . . . . . . . 266--272 J. D. Murray Perturbation Effects on the Decay of Discontinuous Solutions of Nonlinear First Order Wave Equations . . . . . . . 273--298 D. G. Aronson Regularity Properties of Flows Through Porous Media: A Counterexample . . . . . 299--307 Bernard Bereanu Renewal Processes and Some Stochastic Programming Problems in Economics . . . 308--322 L. W. Ross Perturbation Analysis of Diffusion-Coupled Biochemical Reaction Kinetics . . . . . . . . . . . . . . . . 323--329 P. M. Gibson Combinatorial Matrix Functions and 1-Factors of Graphs . . . . . . . . . . 330--333 Ronald L. Huston Krylov--Bogoljubov Method for Difference Equations . . . . . . . . . . . . . . . 334--339 S. Kumar Multinomial Group-Testing . . . . . . . 340--350 K. B. Ranger M. H. D. Rotation of a Conducting Sphere in the Presence of a Uniform Magnetic Field . . . . . . . . . . . . . . . . . 351--355 B. P. Lientz Results on Nonparametric Modal Intervals 356--366 Gregory M. Dunkel Maximum Sustainable Yields . . . . . . . 367--378 Dexter J. Booth A Useful Integration Technique . . . . . 379--381 William F. Trench Continuous Smoothing with Polynomial Weighting . . . . . . . . . . . . . . . 382--389 G. M. Schindler Simple Waves in Multidimensional Gas Flow . . . . . . . . . . . . . . . . . . 390--407 F. Kappel The Invariance of Limit Sets for Autonomous Functional-Differential Equations . . . . . . . . . . . . . . . 408--419 P. Delsarte BCH Bounds for a Class of Cyclic Codes 420--429 Thomas G. Hallam Asymptotic Integration of Second Order Differential Equations with Integrable Coefficients . . . . . . . . . . . . . . 430--439 K. W. Schmidt Lower Bounds for Maximal (0,1)-Determinants . . . . . . . . . . . 440--442 J. L. Brenner Gersgorin Theorems, Regularity Theorems, and Bounds for Determinants of Partitioned Matrices . . . . . . . . . . 443--450 Charles R. Baker Mutual Information for Gaussian Processes . . . . . . . . . . . . . . . 451--458 Yakar Kannai On Closed Coverings of Simplexes . . . . 459--461 R. W. Packard Endpoint Properties of the Green's Operator of a Generalized Second Order Linear Differential Equation . . . . . . 462--472 T. Parthasarathy On Games Over the Unit Square . . . . . 473--476 Louis Hodes Discrete Approximation of Continuous Convex Blobs . . . . . . . . . . . . . . 477--485
Elmor L. Peterson Symmetric Duality for Generalized Unconstrained Geometric Programming . . 487--526 Bruce H. Stephan On Hereditary Equations Close to Ordinary Differential Equations . . . . 527--531 Thomas R. Rogge Longitudinal Waves in Circular Conic Sections . . . . . . . . . . . . . . . . 532--541 Lloyd Jackson and Gene Klaasen Uniqueness of Solutions of Boundary Value Problems for Ordinary Differential Equations . . . . . . . . . . . . . . . 542--546 Michiel F. Hurt and Carter Waid A Generalized Inverse Which Gives All the Integral Solutions to a System of Linear Equations . . . . . . . . . . . . 547--550 George E. Forsythe The Maximum and Minimum of a Positive Definite Quadratic Polynomial on a Sphere are Convex Functions of the Radius . . . . . . . . . . . . . . . . . 551--554 W. R. Harwood and V. Lovass-Nagy and D. L. Powers A Note on the Generalized Inverses of Some Partitioned Matrices . . . . . . . 555--559 Clayton Knoshaug Generalized Sequences . . . . . . . . . 560--565 Ronald W. Wolff Time Sharing with Priorities . . . . . . 566--574 Erich Zauderer Boundary Layer and Uniform Asymptotic Expansions for Diffraction Problems . . 575--600 L. E. Bobisud Oscillation of Solutions of Damped Nonlinear Equations . . . . . . . . . . 601--606 Ivo Marek Frobenius Theory of Positive Operators: Comparison Theorems and Applications . . 607--628 J. W. Heidel Global Asymptotic Stability of a Generalized Lienard Equation . . . . . . 629--636
M. Mazumdar Reliability of Two-Unit Redundant Repairable Systems When Failures Are Revealed by Inspections . . . . . . . . 637--647 D. K. Cohoon A Continuous Right Inverse for Second Order Differential Operators with Variable Coefficients . . . . . . . . . 648--657 K. Subrahmaniam On Some Applications of Mellin Transforms to Statistics: Dependent Random Variables . . . . . . . . . . . . 658--662 James D. Baker Probability Representations with Right-Cauchy Integrals . . . . . . . . . 663--667 Alston S. Householder On the Penultimate Remainder Algorithm and the Catalytic Multiplier . . . . . . 668--671 Georges Vandewiele A Generalization of the Albert-Nelson Counter with Semi-Markov Input . . . . . 672--678 F. T. Man Some Inequalities for Positive Definite Symmetric Matrices . . . . . . . . . . . 679--681 Randall E. Cline and T. N. E. Greville An Extension of the Generalized Inverse of a Matrix . . . . . . . . . . . . . . 682--688 Nicos Christofides The Shortest Hamiltonian Chain of a Graph . . . . . . . . . . . . . . . . . 689--696 H. G. Robertson Curvature and Arclength . . . . . . . . 697--699 R. M. Simon Optimal Cannibalization Policies for Multicomponent Systems . . . . . . . . . 700--711 James L. Klemm and Robert Wm. Little The Semi-Infinite Elastic Cylinder Under Self-Equilibrated End Loading . . . . . 712--729 Sakti P. Ghosh On Quadrics in Finite Euclidean Geometrics and Application to Construction of Balanced Incomplete Block Designs . . . . . . . . . . . . . 730--740 Carl D. Meyer, Jr. Generalized Inverses of Block Triangular Matrices . . . . . . . . . . . . . . . . 741--750 N. L. Maria Relation between Boundary Value Problems in a Half-Space and the Whole Space . . 751--768 Charlie H. Cooke An Efficiency Property of the Exponentially Weighted Least Squares Estimators . . . . . . . . . . . . . . . 769--777
Donald S. Cohen Multiple Stable Solutions of Nonlinear Boundary Value Problems Arising in Chemical Reactor Theory . . . . . . . . 1--13 Wayne T. Ford A Mapping in Phase Behavior . . . . . . 14--23 W. Y. Tan Note on an Extension of the Gauss--Markov Theorems to Multivariate Linear Regression Models . . . . . . . . 24--29 J. E. Hopcroft and L. R. Kerr On Minimizing the Number of Multiplications Necessary for Matrix Multiplication . . . . . . . . . . . . . 30--36 R. R. Huilgol On Liouville's Theorem for Biharmonic Functions . . . . . . . . . . . . . . . 37--39 Allan M. Krall Adjoint Differential Systems in Inner Product Spaces . . . . . . . . . . . . . 40--43 R. P. Rhoten and J. K. Aggarwal The Location of Zeros of Finite Exponential Series . . . . . . . . . . . 44--50 Hrair S. Cabayan and Geneva G. Belford On Computing a Stable Least Squares Solution to the Inverse Problem for a Planar Newtonian Potential . . . . . . . 51--61 Elon Kohlberg On the Nucleolus of a Characteristic Function Game . . . . . . . . . . . . . 62--66 Donald Greenspan Numerical Studies of the $3$-Body Problem . . . . . . . . . . . . . . . . 67--78 S. Y. Chan and W. S. Chou An Optimization Problem in Communication Nets . . . . . . . . . . . . . . . . . . 79--86 P. J. Eberlein A Note on the Matrices Denoted $ {B}_n $ 87--92 Roop Narain Kesarwani On an Integral Transform Involving $ {G} $-Functions . . . . . . . . . . . . . . 93--98 Gerald J. Bierman A Particular Class of Singular Integral Equations . . . . . . . . . . . . . . . 99--109 J. N. Pandey The Generalized Weierstrass Hankel Convolution Transform . . . . . . . . . 110--123 Lloyd K. Jackson and Gene Klaasen A Variation of the Topological Method of Wazewski . . . . . . . . . . . . . . . . 124--130 Ranjit S. Dhaliwal The Steady State Thermoelastic Mixed Boundary Value Problem for the Elastic Layer . . . . . . . . . . . . . . . . . 131--140 M. Fujii and T. Kasami and K. Ninomiya Erratum: ``Optimal Sequencing of Two Equivalent Processors'' [SIAM J. Appl. Math. \bf 17 (1969), no. 4, 784--789] 141--141
M. H. Rusin A Revised Simplex Method for Quadratic Programming . . . . . . . . . . . . . . 143--160 Y. Alavi and M. Behzad Complementary Graphs and Edge Chromatic Numbers . . . . . . . . . . . . . . . . 161--163 F. J. Gould and Jon W. Tolle A Necessary and Sufficient Qualification for Constrained Optimization . . . . . . 164--172 J. F. Ward and T. L. Boullion and T. O. Lewis A Note on the Oblique Matrix Pseudoinverse . . . . . . . . . . . . . 173--175 F. T. Boesch and A. Felzer On the Invulnerability of the Regular Complete $k$-Partite Graphs . . . . . . 176--182 M. Cohn and S. Even and S. W. Golomb and A. Lempel The Stability of Counting Sequences Under Stage Delays . . . . . . . . . . . 183--188 C. Y. Chan Uniqueness of a Nonmonotone Free Boundary Problem . . . . . . . . . . . . 189--194 Samarendra Kumar Mitra On the Probability Distribution of the Sum of Uniformly Distributed Random Variables . . . . . . . . . . . . . . . 195--198 J. L. Graveleau and P. Jamet A Finite Difference Approach to Some Degenerate Nonlinear Parabolic Equations 199--223 Rasoul Haji and G. F. Newell Optimal Strategies for Priority Queues with Nonlinear Costs of Delay . . . . . 224--240 Lawrence D. Stone and Jerome A. Stanshine Optimal Search Using Uninterrupted Contact Investigation . . . . . . . . . 241--263 B. D. Sivazlian Stationary Analysis of a Multicommodity Inventory System with Interacting Set-Up Costs . . . . . . . . . . . . . . . . . 264--278 William B. Bush On the Lagerstrom Mathematical Model for Viscous Flow at Low Reynolds Number . . 279--287 Mikiso Mizuki Frequency of Passages Through a Designated Sequence or Network of States of a Markov Chain . . . . . . . . . . . 288--297 Kenji Onaga Optimal Search for Detecting a Hidden Object . . . . . . . . . . . . . . . . . 298--318 B. Sherman Limiting Behavior in Some Stefan Problems as the Latent Heat Goes to Zero 319--327
Bruce Wood Graphic Behavior of Positive Linear Operators . . . . . . . . . . . . . . . 329--335 Steven A. Lippman and Sheldon M. Ross The Streetwalker's Dilemma: A Job Shop Model . . . . . . . . . . . . . . . . . 336--342 S. N. Afriat Theory of Maxima and the Method of Lagrange . . . . . . . . . . . . . . . . 343--357 Chung Ling Yu Reflection Principle for Solutions of Higher Order Elliptic Equations with Analytic Coefficients . . . . . . . . . 358--363 J. Kevorkian Passage Through Resonance for a One-Dimensional Oscillator with Slowly Varying Frequency . . . . . . . . . . . 364--373 P. F. Duvall, Jr. and P. W. Harley, III A Note on Counting Matrices . . . . . . 374--377 Katta G. Murty On a Characterization of $ {P} $-Matrices . . . . . . . . . . . . . . . 378--384 T. W. Williams and L. M. Maxwell The Decomposition of a Graph and the Introduction of a New Class of Subgraphs 385--389 Joseph B. Keller and Daljit S. Ahluwalia Diffraction by a Curved Wire . . . . . . 390--405 Mehdi S. Zarghamee Differential of Variational Forms . . . 406--412 Donald S. Cohen and Erik B. Hansen Inverse Problems Connected with Two-Point Boundary Value Problems . . . 413--425 R. J. Plemmons Generalized Inverses of Boolean Relation Matrices . . . . . . . . . . . . . . . . 426--433 J. R. Cannon and G. H. Meyer On Diffusion in a Fractured Medium . . . 434--448 Percy A. Pierre Central Limit Theorems for Conditionally Linear Random Processes . . . . . . . . 449--461 S. Nemat-Nasser and H. D. Shatoff A Consistent Numerical Method for the Solution of Nonlinear Elasticity Problems at Finite Strains . . . . . . . 462--481 S. E. Shamma Asymptotic Behavior of Stekloff Eigenvalues and Eigenfunctions . . . . . 482--490 Craig Comstock Singular Perturbations of Elliptic Equations. I . . . . . . . . . . . . . . 491--502 Willard Miller, Jr. Invariant Tensor Fields in Physics and the Classical Groups . . . . . . . . . . 503--519 William N. Anderson, Jr. Shorted Operators . . . . . . . . . . . 520--525 Wai-kai Chen On Vector Spaces Associated with a Graph 526--529 Richard F. Serfozo Functions of Semi-Markov Processes . . . 530--535 S. N. Karp and S. E. Shamma A Generalization of Separability in Boundary Value Problems . . . . . . . . 536--546
L. R. Shenton and K. O. Bowman Continued Fractions for the Psi Function and its Derivatives . . . . . . . . . . 547--554 B. Sherman General One-Phase Stefan Problems and Free Boundary Problems for the Heat Equation with Cauchy Data Prescribed on the Free Boundary . . . . . . . . . . . 555--570 H. H. Suber Integral Manifolds for Perturbed Nonlinear Systems . . . . . . . . . . . 571--589 L. Krishnamurthy and F. A. Williams Kinetics and Regression . . . . . . . . 590--611 J. L. Smith Approximate Stationary Probability Vectors of a Finite Markov Chain . . . . 612--618 Stanley Kogelman and Joseph B. Keller Transient Behavior of Unstable Nonlinear Systems with Applications to the Bénard and Taylor Problems . . . . . . . . . . 619--637 Manfred W. Padberg A Remark on ``An Inequality for the Number of Lattice Points in a Simplex'' 638--641 D. L. Jain and R. P. Kanwal An Integral Equation Method for Solving Mixed Boundary Value Problems . . . . . 642--658 Brian D. O. Anderson and Thomas Kailath Some Integral Equations with Nonsymmetric Separable Kernels . . . . . 659--669 J. Buchanan Growth of Oscillatory Solutions of $ y'(x) = y(x - d(x)) $ . . . . . . . . . 670--676 J. C. Crown A New Approach to the Calculation of Transonic Flows . . . . . . . . . . . . 677--697 Vince A. Sposito and H. T. David Saddle-Point Optimality Criteria of Nonlinear Programming Problems over Cones without Differentiability . . . . 698--702 Benjamin J. Martin On a New Integral Equation Arising in the Theory of Radiative Transfer . . . . 703--713 K. K. Tam On the Asymptotic Solution of Viscous Incompressible Flow Past a Heated Paraboloid of Revolution . . . . . . . . 714--721 Edward T. Dean and Paul L. Chambre On the Bifurcation of Solutions of the Nonlinear Eigenvalue Problem $ L u + \lambda b(x)u = g(x, u) $ . . . . . . . 722--734 Balram S. Rajput Bounded Determinable Subsets of Banach Spaces . . . . . . . . . . . . . . . . . 735--748 D. R. Jensen A Note on Positive Dependence and the Structure of Bivariate Distributions . . 749--753 Robert Gaines Differentiability with Respect to Boundary Values for Nonlinear Ordinary Differential Equations . . . . . . . . . 754--762 U. Passy Generalized Weighted Mean Programming 763--778
Robert Lugannani Convergence Properties of the Sample Mean and Sample Correlation for a Class of Pulse Trains . . . . . . . . . . . . 1--12 George C. Papanicolaou Wave Propagation in a One-Dimensional Random Medium . . . . . . . . . . . . . 13--18 Balram S. Rajput Unbounded Determinable Subsets of Banach Spaces . . . . . . . . . . . . . . . . . 19--29 Gerald Rosen Minimum Value for $c$ in the Sobolev Inequality $ \| \phi^3 \| \leq c \| \nabla \phi \|^3 $ . . . . . . . . . . . 30--32 Kenneth N. Berk Estimating the Solution of a Stochastic Difference Equation . . . . . . . . . . 33--43 Philip W. Schaefer Bounds in the Cauchy Problem for a Fourth Order Quasi-Linear Equation . . . 44--50 Abraham Berman and Adi Ben-Israel A Note on Pencils of Hermitian or Symmetric Matrices . . . . . . . . . . . 51--54 R. G. Jeroslow and K. O. Kortanek On an algorithm of Gomory . . . . . . . 55--60 G. Kallianpur and C. Striebel A Stochastic Differential Equation of Fisk Type for Estimation and Nonlinear Filtering Problems . . . . . . . . . . . 61--72 J. Rosenmuller On a Generalization of the Lemke--Howson Algorithm to Noncooperative $ {N} $-Person Games . . . . . . . . . . . . . 73--79 Robert Wilson Computing Equilibria of $ {N} $-Person Games . . . . . . . . . . . . . . . . . 80--87 M. Rahman On the Integrability and Application of the Generalized Riccati Equation . . . . 88--94 Elliot Winston The Existence of Periodic Solutions of Perturbed Periodic Systems . . . . . . . 95--103 Lee J. White Minimum Covers of Fixed Cardinality in Weighted Graphs . . . . . . . . . . . . 104--113 Harry E. Moses Eigenfunctions of the Curl Operator, Rotationally Invariant Helmholtz Theorem, and Applications to Electromagnetic Theory and Fluid Mechanics . . . . . . . . . . . . . . . 114--144 Takao Ueda The Continuity of a Critical Point Set with Applications to Some Decision Problems . . . . . . . . . . . . . . . . 145--154 P. A. Lee A Diagonal Expansion for the 2-Variate Dirichlet Probability Density Function 155--165 Bruce L. Miller On Minimizing Nonseparable Functions Defined on the Integers with an Inventory Application . . . . . . . . . 166--185 G. M. Tallis and G. Gordon A Note on the Roots of the Polynomial Equation $ f(x) = a $ with Reference to Stability . . . . . . . . . . . . . . . 186--190
C. E. Langenhop On the Index of a Square Matrix . . . . 191--194 Anton Suhadolc On a System of Integro-Differential Equations . . . . . . . . . . . . . . . 195--206 George C. T. Kung Oscillation and Nonoscillation of Differential Equations with a Time Lag 207--213 Jose N. W. Dachs A Convergence Problem on Finite Directed Graphs . . . . . . . . . . . . . . . . . 214--220 Kuo-Liang Chiou A Second Order Nonlinear Oscillation Theorem . . . . . . . . . . . . . . . . 221--224 Jack W. Macki and Paul Waltman A Nonlinear Boundary Value Problem of Sturm--Liouville Type for a Two-Dimensional System of Ordinary Differential Equations . . . . . . . . . 225--231 Allen R. Bernstein Almost Eigenvectors for Almost Commuting Matrices . . . . . . . . . . . . . . . . 232--235 B. Curtis Eaves Computing Kakutani Fixed Points . . . . 236--244 Takeshi Kiyono and Masaaki Shimasaki On the Solution of Laplace's Equation by Certain Dual Series Equations . . . . . 245--257 William Oo Kian Ke Bounds for the First Eigenvalue of the Differential System $ y'' + \lambda p(x)y = 0, y(a) = y(b) = {O} $ . . . . . 258--264 James McKenna On the Lateral Vibration of Conical Bars 265--278 Donald C. Benson Comparison Theory for $ y^{'2} - 2 p(x)y = - p(x)q(x) $ . . . . . . . . . . . . . 279--286 George Papanicolau and Joseph B. Keller Stochastic Differential Equations with Applications to Random Harmonic Oscillators and Wave Propagation in Random Media . . . . . . . . . . . . . . 287--305 J. Ernest Wilkins, Jr. Maximum Internal Temperatures in One-Dimensional Geometries with Nonuniform Heat Generation and Equal Surface Temperatures . . . . . . . . . . 306--320 F. J. Rizzo and D. J. Shippy An Application of the Correspondence Principle of Linear Viscoelasticity Theory . . . . . . . . . . . . . . . . . 321--330 Lewis Wheeler On the Integral Representations of Stokes and Love for Elastodynamic Displacement Fields . . . . . . . . . . 331--338 Victor Barcilon and Julian D. Cole and Robert S. Eisenberg A Singular Perturbation Analysis of Induced Electric Fields in Nerve Cells 339--354 A. M. Fink A Converse Problem in Differential Equations . . . . . . . . . . . . . . . 355--361 A. M. Fink and G. Seifert Nonresonance Conditions for the Existence of Almost Periodic Solutions of Almost Periodic Systems . . . . . . . 362--366
Paul F. Duvall and Jack C. Mortick Decimation of Periodic Sequences . . . . 367--372 Gunther Friedemann Schrack Lower Bounds to the Abscissa of Stability of a Stable Polynomial from Symmetric Functions . . . . . . . . . . 373--379 A. Bruen Blocking Sets in Finite Projective Planes . . . . . . . . . . . . . . . . . 380--392 William B. Bush and Robert Rosen The Three-Dimensional Steady Radial Expansion of a Viscous Gas from a Sonic Source into a Vacuum . . . . . . . . . . 393--406 Melvyn B. Nathanson Derivatives of Binary Sequences . . . . 407--412 F. Kozin and S. Prodromou Necessary and Sufficient Conditions for Almost Sure Sample Stability of Linear Ito Equations . . . . . . . . . . . . . 413--424 K. S. Kunz Application of an Algebraic Technique to the Solution of Laplace's Equation in Three Dimensions . . . . . . . . . . . . 425--441 Martin Cohn Walsh Functions, Sequency, and Gray Codes . . . . . . . . . . . . . . . . . 442--447 Sanjo Zlobec Extensions of Asymptotic Kuhn--Tucker Conditions in Mathematical Programming 448--460 William J. English A Computer-Implemented Vector Variational Solution of Loaded Rectangular Waveguides . . . . . . . . . 461--468 A. K. Gautesen and S. P. Lin Slow Viscous Flow Past a Deforming Sphere . . . . . . . . . . . . . . . . . 469--477 T. Walsh On the Maximum of a Positive Definite Quadratic Polynomial on a Sphere . . . . 478--479 J. F. Ward and T. L. Boullion and T. O. Lewis Weighted Pseudoinverses with Singular Weights . . . . . . . . . . . . . . . . 480--482 Richard C. Grinold The Hirsch Conjecture in Leontief Substitution Systems . . . . . . . . . . 483--485 Forbes Burkowski Nonlinear Oscillation of a Second Order Sublinear Functional Differential Equation . . . . . . . . . . . . . . . . 486--490 Klaus Schmitt A Note on Periodic Solutions of Second Order Ordinary Differential Equations 491--494 R. H. Martin, Jr. Exponential Stability Criteria for Nonlinear, Nonautonomous Differential Equations . . . . . . . . . . . . . . . 495--499
G. C. Jain and P. C. Consul A Generalized Negative Binomial Distribution . . . . . . . . . . . . . . 501--513 T. C. Hu and A. C. Tucker Optimal Computer Search Trees and Variable-Length Alphabetical Codes . . . 514--532 A. H. Zemanian The Passivity and Semipassivity of Time-Varying Systems Under the Admittance Formulism . . . . . . . . . . 533--541 L. A. Peletier Asymptotic Behavior of Solutions of the Porous Media Equation . . . . . . . . . 542--551 Stanley B. Eliason Comparison Theorems Related to Nonlinear Eigenvalue Problems . . . . . . . . . . 552--564 J. G. Lenard Plastic Flow and Fracture of a Rotating Cylinder . . . . . . . . . . . . . . . . 565--572 H. A. Krieger and C. A. Schaffner The Global Optimization of Incoherent Phase Signals . . . . . . . . . . . . . 573--589 Shmuel Gal Sequential Minimax Search for a Maximum when Prior Information is Available . . 590--595 Mehdi S. Zarghamee On the Optimal Value of a Variational Form . . . . . . . . . . . . . . . . . . 596--600 A. A. Kayande A Theorem on Contractive Stability . . . 601--604 C. G. Lange and A. C. Newell The Post-Buckling Problem for Thin Elastic Shells . . . . . . . . . . . . . 605--629 Franco P. Preparata On the Representation of Integers in Nonadjacent Form . . . . . . . . . . . . 630--635 Lawrence D. Stone and Jerome A. Stanshine Erratum: ``Optimal Search Using Uninterrupted Contact Investigation'' [SIAM J. Appl. Math. \bf 20 (1971), no. 2, 241--263] . . . . . . . . . . . . . . 636--636
Chien-Heng Wu Whirling of a String at Large Angular Speeds --- A Nonlinear Eigenvalue Problem with Moving Boundary Layers . . 1--13 S. E. Shamma and S. N. Karp Asymptotic Eigenfunctions of a Scattering Problem . . . . . . . . . . . 14--21 J. R. Wall and R. J. Plemmons Spectral Inverses of Stochastic Matrices 22--26 Dieter S. Schmidt Families of Periodic Orbits in the Restricted Problem of Three Bodies Connecting Families of Direct and Retrograde Orbits . . . . . . . . . . . 27--37 George Seifert Almost Periodic Solutions for Limit Periodic Systems . . . . . . . . . . . . 38--44 David S. Evans Finite-Dimensional Realizations of Discrete-Time Weighting Patterns . . . . 45--67 Abdel-Azim Anis and Emlyn H. Lloyd Reservoirs with Mixed Markovian-Independent Inflows . . . . . 68--76 Francis Scheid A Least Squares Family of Cubic Curves with an Application to Golf Handicapping 77--83 S. Barnett A Note on the Bezoutian Matrix . . . . . 84--86 Zoran R. Pop-Stojanovic On McShane's Belated Stochastic Integral 87--92 Mark Brown and Sheldon M. Ross Asymptotic Properties of Cumulative Processes . . . . . . . . . . . . . . . 93--105 Aharon Gavriel Beged-Dov Lower and Upper Bounds for the Number of Lattice Points in a Simplex . . . . . . 106--108 Lee Kaminetzky and Joseph B. Keller Diffraction Coefficients for Higher Order Edges and Vertices . . . . . . . . 109--134 Kurt Kreith Oscillation Criteria for a Class of Fourth Order Differential Equations . . 135--137
D. Hazony and R. Sobecks A Distributed RC Active Delay Line . . . 139--141 Catherine Bandle Isoperimetric Inequality for Some Eigenvalues of an Inhomogeneous, Free Membrane . . . . . . . . . . . . . . . . 142--147 S. H. Smith On the Impulsive Flow of a Viscous Liquid Past a Semi-Infinite Flat Plate 148--154 Abraham Berman and Robert J. Plemmons Monotonicity and the Generalized Inverse 155--161 A. Ephremides and J. B. Thomas Multiplicity Considerations in Linear Least Mean-Square Estimation . . . . . . 162--172 I. W. Sandberg and A. N. Willson, Jr. Existence and Uniqueness of Solutions for the Equations of Nonlinear DC Networks . . . . . . . . . . . . . . . . 173--186 Carlos A. Holzmann and Frank Harary On the Tree Graph of a Matroid . . . . . 187--193 J. Susan Milton and W. J. Padgett and Chris P. Tsokos On the Existence and Uniqueness of a Random Solution to a Perturbed Random Integral Equation of the Fredholm Type 194--208 Michael P. Mortell and Brian R. Seymour Pulse Propagation in a Nonlinear Viscoelastic Rod of Finite Length . . . 209--224 T. C. Hu and K. C. Tan Path Length of Binary Search Trees . . . 225--234 S. C. Chikwendu and J. Kevorkian A Perturbation Method for Hyperbolic Equations with Small Nonlinearities . . 235--258 J. David Mason Local Theorems for Nonidentically Distributed Lattice Random Variables . . 259--265 Leonard Shaw Existence and Approximation of Solutions to an Infinite Set of Linear Time-Invariant Differential Equations 266--279 Daniel Yih Pin Perng Wave Reflection by a Periodic Medium . . 280--299 Jon H. Thompson Closed Solutions for Wedge Diffraction 300--306 T. Fujisawa and E. S. Kuh Piecewise-Linear Theory of Nonlinear Networks . . . . . . . . . . . . . . . . 307--328 S. P. Hastings Reversed Flow Solutions of the Falkner--Skan Equation . . . . . . . . . 329--334
L. D. Pyle The generalized inverse in linear programming. Basic structure . . . . . . 335--355 Vince A. Sposito and H. T. David A Note on Farkas Lemmas Over Cone Domains . . . . . . . . . . . . . . . . 356--358 Daniel Sweet Periodic Families of Systems Possessing a First Integral . . . . . . . . . . . . 359--372 Richard A. Handelsman and W. E. Olmstead Asymptotic Solution to a Class of Nonlinear Volterra Integral Equations 373--384 G. M. Schindler On $ {N} $-Dimensional Traveling Waves in a Gas with an Application to Radial Flow . . . . . . . . . . . . . . . . . . 385--405 J. Lyell Sanders, Jr. Random Deflections of a String on an Elastic Foundation . . . . . . . . . . . 406--418 Reuven Meidan Translation Varying Linear Operators . . 419--436 Gunnar Aronsson A Mathematical Model in Sand Mechanics: Presentation and Analysis . . . . . . . 437--458 David W. Matula $k$-Components, Clusters, and Slicings in Graphs . . . . . . . . . . . . . . . 459--480 A. Rahimi and R. W. Brockett Homotopic Classification of Minimal Periodic Realizations of Stationary Weighting Patterns . . . . . . . . . . . 481--486 W. L. Hendry Neutron Distribution in a Slab Reactor with Moving Boundaries . . . . . . . . . 487--494 A. K. Gautesen A Force Relationship for Two-Dimensional Viscous Flow Past a Semi-Infinite Plate and an Obstacle . . . . . . . . . . . . 495--502 John Hayes and Richard Kellner The Eigenvalue Problem for a Pair of Coupled Integral Equations Arising in the Numerical Solution of Laplace's Equation . . . . . . . . . . . . . . . . 503--513 J. F. Ward and T. L. Boullion and T. O. Lewis Weak Spectral Inverses . . . . . . . . . 514--518
Louis B. Bushard Periodic Solutions of Perturbed Autonomous Systems, and Locking-in . . . 519--528 C. Y. Chan A First Initial Boundary Value Problem for a Semilinear Heat Equation . . . . . 529--537 Robert E. Hartwig The Resultant and the Matrix Equation $ {AX} = {XB} $ . . . . . . . . . . . . . 538--544 Olavi Hellman On the Optimal Search for a Randomly Moving Target . . . . . . . . . . . . . 545--552 Andrew Vogt On the Linearity of Form Isometries . . 553--560 V. Komkov On Boundedness and Oscillation of the Differential Equation: $ x'' + {A}(t)g (x) = f(t) $ in $ R^n $ . . . . . . . . 561--568 A. T. Amin and S. L. Hakimi Upper Bounds on the Order of a Clique of a Graph . . . . . . . . . . . . . . . . 569--573 Charles C. Lindner An Algebraic Construction for Room Squares . . . . . . . . . . . . . . . . 574--579 V. J. Bowman Permutation Polyhedra . . . . . . . . . 580--589 Richard W. Butterworth A Set Theoretic Treatment of Coherent Systems . . . . . . . . . . . . . . . . 590--598 Jerry R. Ridenhour and Thomas L. Sherman Conjugate Points for Fourth Order Linear Differential Equations . . . . . . . . . 599--603 Amnon Katz Transformations of the Compressible Boundary Layer Equations . . . . . . . . 604--611 A. H. Zemanian Realizability Conditions for Time-Varying and Time-Invariant Hilbert Ports . . . . . . . . . . . . . . . . . 612--628 Pao-Liu Chow Asymptotic Solutions of Inhomogeneous Initial Boundary Value Problems for Weakly Nonlinear Partial Differential Equations . . . . . . . . . . . . . . . 629--647 V. A. Utgoff and R. L. Kashyap On Behavior Strategy Solutions in Two-Person Zero-Sum Finite Extended Games with Imperfect Information. Part I: A Method for Determination of Minimally Complex Behavior Strategy Solutions . . . . . . . . . . . . . . . 648--664 V. A. Utgoff and R. L. Kashyap On Behavior Strategy Solutions in Two-Person Zero-Sum Finite Extended Games with Imperfect Information. Part II: Determination of a Minimally Complex Behavior Strategy Solution in a Medical Decision Process . . . . . . . . . . . . 665--675 B. Bereanu Errata: ``Renewal Processes and Some Stochastic Programming Problems in Economics'' [SIAM J. Appl. Math. \bf 19 (1970), no. 2, 308--322] . . . . . . . . 676--676
Bennet P. Lientz Properties of Modal Intervals . . . . . 1--5 Lawrence D. Stone and Jerome A. Stanshine and Carl A. Persinger Optimal Search in the Presence of Poisson-Distributed False Targets . . . 6--27 Elias Masry On Covariance Functions of Unit Processes . . . . . . . . . . . . . . . 28--33 Elon Kohlberg The Nucleolus as a Solution of a Minimization Problem . . . . . . . . . . 34--39 Romesh Saigal A Characterization of the Constant Parity Property of the Number of Solutions to the Linear Complementarity Problem . . . . . . . . . . . . . . . . 40--45 Romesh Saigal On the Class of Complementary Cones and Lemke's Algorithm . . . . . . . . . . . 46--60 Egon Balas and Robert Jeroslow Canonical Cuts on the Unit Hypercube . . 61--69 R. C. MacCamy Approximations for a Class of Functional Differential Equations . . . . . . . . . 70--83 Melvyn B. Nathanson Integrals of Binary Sequences . . . . . 84--86 A. S. Deakin Asymptotic Solution of the Wave Equation with Variable Velocity and Boundary Conditions . . . . . . . . . . . . . . . 87--98 Robert E. Hartwig A Note on Jacobson Chains . . . . . . . 99--103 Robert E. Hartwig Resultants and the Solution of $ {AX} - {XB} = - {C} $ . . . . . . . . . . . . . 104--117 Peter Wolfe Diffraction of Plane Waves by a Strip; Exact and Asymptotic Solutions . . . . . 118--132 Chien-Heng Wu and Daniel Y. P. Perng On the Asymptotically Spherical Deformations of Arbitrary Membranes of Revolution Fixed Along an Edge and Inflated by Large Pressures --- A Nonlinear Boundary Layer Phenomenon . . 133--152 James P. Fink Uniformly Elliptic Operators and Green's Functions . . . . . . . . . . . . . . . 153--155
S. Halfin Arbitrarily Complex Corner Polyhedra Are Dense in $ {R}^n $ . . . . . . . . . . . 157--163 Frederick J. Beutler Almost Sure Exponential Bounds for Stochastic Operator Systems, with Applications to Randomly Sampled Control 164--170 G. D. Poole and T. L. Boullion Weak Spectral Inverses Which Are Partial Isometries . . . . . . . . . . . . . . . 171--172 M. R. Garey Optimal Binary Identification Procedures 173--186 Kuang-ho Chen A Liouville-Type Problem in Partial Differential Equations . . . . . . . . . 187--188 W. A. Horn Single-Machine Job Sequencing with Treelike Precedence Ordering and Linear Delay Penalties . . . . . . . . . . . . 189--202 Richard H. Smith, Jr. and V. David Vandelinde A Saddle-Point Optimality Criterion for Nonconvex Programming in Normed Spaces 203--213 H. L. Skala A Variation of the Friendship Theorem 214--220 D. P. Flemming Generalizations of the Wave Equation Which Allow Weak and Strong Discontinuities . . . . . . . . . . . . 221--224 Milan Vujicic and Fedor Herbut and Gradimir Vujicic Canonical Form for Matrices Under Unitary Congruence Transformations. I: Conjugate-Normal Matrices . . . . . . . 225--238 P. C. Consul and L. R. Shenton Use of Lagrange Expansion for Generating Discrete Generalized Probability Distributions . . . . . . . . . . . . . 239--248 H. L. Althaus State Diagrams of $ {T} $-Cyclic Autonomous Nonsingular LSC's over $ {J}_m $ with Multiply Irreducible Elementary Divisors . . . . . . . . . . 249--258 K. G. Guderley An Extremum Principle for Three-Dimensional Compressible Inviscid Flows . . . . . . . . . . . . . . . . . 259--275 K. G. Aneja and Kanwar Sen Random Walk and Distributions of Rank Order Statistics . . . . . . . . . . . . 276--287
James H. Justice An Algorithm for Inverting Positive Definite Toeplitz Matrices . . . . . . . 289--291 J. W. Helton and A. H. Zemanian The Cascade Loading of Passive Hilbert Ports . . . . . . . . . . . . . . . . . 292--306 Emil Spjotvoll A Note on a Theorem of Forsythe and Golub . . . . . . . . . . . . . . . . . 307--311 Ian F. Blake Distance Properties of Group Codes for the Gaussian Channel . . . . . . . . . . 312--324 K. B. Ranger The Applicability of Stokes Expansions to Reversed Flow . . . . . . . . . . . . 325--333 G. Kreisselmeier A Solution of the Bilinear Matrix Equation $ {AY} + {YB} = - {Q} $ . . . . 334--338 A. V. Chinnaswamy and R. P. Kanwal Uniform Asymptotic Theory of Diffraction by a Plane Screen by the Method of Boundary Layers . . . . . . . . . . . . 339--355 S. Halfin Steady-State Distribution for the Buffer Content of an $ {M} / {G} / 1 $ Queue with Varying Service Rate . . . . . . . 356--363 A. G. Shannon Iterative Formulas Associated with Generalized Third Order Recurrence Relations . . . . . . . . . . . . . . . 364--368 S. Halfin and M. Segal A Priority Queueing Model for a Mixture of Two Types of Customers . . . . . . . 369--379 M. L. Curl and W. P. Graebel Application of Invariant Imbedding Techniques to Flow Instability Problems 380--395 Warren S. Edelstein A Priori Bounds for the Displacement Problem in Viscoelasticity . . . . . . . 396--408 K. K. Tam Erratum: ``On the Asymptotic Solution of Viscous Incompressible Flow Past a Heated Paraboloid of Revolution'' [SIAM J. Appl. Math. \bf 20 (1971), no. 4, 714--721] . . . . . . . . . . . . . . . 409--409
Y. M. Chen and J. S. Chang An Iterative Approach to Nonlinear Dynamic Stability Problems . . . . . . . 411--419 G. Tunnicliffe Wilson The Factorization of Matricial Spectral Densities . . . . . . . . . . . . . . . 420--426 Paul Wm. Davis and Bernard A. Fleishman Representation of Oscillations in Piecewise-Linear Systems by the Phase-Shift-Averaging Method . . . . . . 427--438 I. M. Longman Approximate Laplace Transform Inversion Applied to a Problem in Electrical Network Theory . . . . . . . . . . . . . 439--445 Joseph E. Flaherty and Joseph B. Keller and S. I. Rubinow Post Buckling Behavior of Elastic Tubes and Rings with Opposite Sides in Contact 446--455 Kuo-Liang Chiou A Nonoscillation Theorem for the Superlinear Case of Second Order Differential Equations $ y'' + y F(y^2, x) = 0 $ . . . . . . . . . . . . . . . . 456--459 V. J. Bowman A Structural Comparison of Gomory's Fractional Cutting Planes and Hermitian Basic Solutions . . . . . . . . . . . . 460--462 Lawrence G. Bergman and C. Dennis Weiss A Transformation Technique for Obtaining Least Cost Solutions to Covering Problems . . . . . . . . . . . . . . . . 463--476 B. Andreas Troesch and Patrick D. Weidman Containers with Isochronous Fluid Oscillations . . . . . . . . . . . . . . 477--489 H. W. Corley, Jr. and S. D. Roberts Duality Relationships for a Partitioning Problem . . . . . . . . . . . . . . . . 490--494 Khursheed Alam Asymptotic Value of the Mean of a Function of a Normal Random Variable . . 495--498 W. J. Padgett and Chris P. Tsokos On a Stochastic Integro-Differential Equation of Volterra Type . . . . . . . 499--512 Shmuel Gal Multidimensional Minimax Search for a Maximum . . . . . . . . . . . . . . . . 513--526 A. J. Morris Approximation and Complementary Geometric Programming . . . . . . . . . 527--531
S. Barnett Matrix Differential Equations and Kronecker Products . . . . . . . . . . . 1--5 D. J. Hartfiel Bounds for Eigenvalues and Eigenvectors of a Nonnegative Matrix Which Involve a Measure of Irreducibility . . . . . . . 6--8 Gerard J. Foschini Applications of a Theorem of Titchmarsh to Bandlimit Irreducibility of Memoryless Transformations . . . . . . . 9--18 Bill Mitchell Optimal Service-Rate Selection in an $ {M}|{G}| \hat {I} $ Queue . . . . . . . 19--35 L. C. Rodgers and W. H. Warner Dynamic Stability of Out-of-Plane Motion of Curved Elastic Rods . . . . . . . . . 36--43 V. Lovass-Nagy and D. L. Powers A Relation Between the Moore--Penrose and Commuting Reciprocal Inverses . . . 44--49 Louis H. Thurston and James S. W. Wong On Global Asymptotic Stability of Certain Second Order Differential Equations With Integrable Forcing Terms 50--61 Kane S. Yee Explicit Solutions for the Initial Boundary Value Problem of a System of Lossless Transmission Lines . . . . . . 62--80 Piero Bassanini On a Variational Operator in Fluid Mechanics . . . . . . . . . . . . . . . 81--87 Aimo Tietavainen On the Nonexistence of Perfect Codes Over Finite Fields . . . . . . . . . . . 88--96 Neil Berger Estimates for Stress Derivatives and Error in Interior Equations for Shells of Variable Thickness With Applied Forces . . . . . . . . . . . . . . . . . 97--120 Isao Shirakawa and Akio Sakamoto and Hiroshi Ozaki Sparsity-Oriented Ordering of Pivotal Operations on Network Equations . . . . 121--129 Joseph Genin and Russell Wilhelmsen Postbuckling Behavior of a Parametrically Excited Nonlinear Column 130--133 I. S. Reed Boolean Difference Calculus and Fault Finding . . . . . . . . . . . . . . . . 134--143
Max Engelhardt On Upper Bounds for Variances in Stochastic Approximation . . . . . . . . 145--151 J. H. Bigelow and N. Z. Shapiro Optimization Problems with Large Parameters . . . . . . . . . . . . . . . 152--163 C. L. Mallows Sequential Sampling of Finite Populations With and Without Replacement 164--168 A. Kuczura Piecewise Markov Processes . . . . . . . 169--181 Arthur Albert The Gauss--Markov Theorem for Regression Models with Possibly Singular Covariances . . . . . . . . . . . . . . 182--187 R. M. DeSantis and W. A. Porter On Time-Related Properties of Nonlinear Systems . . . . . . . . . . . . . . . . 188--206 M. S. Tyagi On Some Properties of $n$-Tournaments 207--214 Joseph E. Flaherty and Joseph B. Keller Contact Problems Involving a Buckled Elastica . . . . . . . . . . . . . . . . 215--225 R. R. Huilgol On Uniqueness and Nonuniqueness in the Plane Creeping Flows of Second Order Fluids . . . . . . . . . . . . . . . . . 226--233 Hirotugu Akaike Block Toeplitz Matrix Inversion . . . . 234--241 Barry C. Arnold Some Characterizations of the Exponential Distribution by Geometric Compounding . . . . . . . . . . . . . . 242--244 Kneale T. Marshall Linear Bounds on the Renewal Function 245--250 Donald C. Benson Comparison and Oscillation Theory for Lienard's Equation with Positive Damping 251--271 J. V. Venugopala Rao Some More Representations for the Generalized Inverse of a Partitioned Matrix . . . . . . . . . . . . . . . . . 272--276
J. J. Blair Bounds for the Change in the Solutions of Second Order Elliptic PDE's When the Boundary is Perturbed . . . . . . . . . 277--285 Gerald Rosen and G. W. Ullrich Invariance Group of the Equation $ \partial u / \partial t = - u \cdot {\Delta } u $ . . . . . . . . . . . . . 286--288 A. D. Wyner A Bound on the Number of Distinguishable Functions which are Time-Limited and Approximately Band-Limited . . . . . . . 289--297 J. R. Cannon and Paul Duchateau Determining Unknown Coefficients in a Nonlinear Heat Conduction Problem . . . 298--314 Carl D. Meyer, Jr. Generalized Inversion of Modified Matrices . . . . . . . . . . . . . . . . 315--323 J. L. Nowinski Cauchy--Schwarz Inequality and the Evaluation of Torsional Rigidity of Anisotropic Bars . . . . . . . . . . . . 324--331 D. L. Clements Thermal Stress in an Anisotropic Elastic Half-Space . . . . . . . . . . . . . . . 332--337 R. E. Cline and L. D. Pyle The Generalized Inverse in Linear Programming --- An Intersection Projection Method and the Solution of a Class of Structured Linear Programming Problems . . . . . . . . . . . . . . . . 338--351 Stanley Kogelman and Joseph B. Keller Asymptotic Theory of Nonlinear Wave Propagation . . . . . . . . . . . . . . 352--361 R. A. Frisch and B. Ru-Shao Cheo On a Bounded One-Dimensional Poisson-Vlasov System . . . . . . . . . 362--368 L. C. Rodgers and W. H. Warner Dynamic Stability of Planar Rods of Noncircular Centerline . . . . . . . . . 369--382 J. P. Licari and W. H. Warner Domain Dependence of Eigenvalues of Vibrating Plates . . . . . . . . . . . . 383--395 J. W. Ra and H. L. Bertoni and L. B. Felsen Reflection and Transmission of Beams at a Dielectric Interface . . . . . . . . . 396--413 G. N. de Oliveira Matrices with Prescribed Entries and Eigenvalues. II . . . . . . . . . . . . 414--417 B. Curtis Eaves Polymatrix Games with Joint Constraints 418--423
Gene A. Klaasen Local Uniqueness and Existence of Solutions of a Three-Point Boundary Value Problem . . . . . . . . . . . . . 425--428 I. M. Longman On the Generation of Rational Function Approximations for Laplace Transform Inversion with an Application to Viscoelasticity . . . . . . . . . . . . 429--440 S. Bhargava and R. J. Duffin On the Nonlinear Method of Wilkins for Cooling Fin Optimization . . . . . . . . 441--448 T. T. Soong and S. N. Chuang Solutions of a Class of Random Differential Equations . . . . . . . . . 449--459 E. E. Burniston and C. E. Siewert Exact Analytical Solutions of the Transcendental Equation $ \alpha \sin \zeta = \zeta $ . . . . . . . . . . . . 460--466 Yvo M. I. Dirickx Turnpike Theory in Deterministic Discrete Dynamic Programming with Discount Factor Greater than One . . . . 467--472 C. Radhakrishna Rao and Sujit Kumar Mitra Theory and Application of Constrained Inverse of Matrices . . . . . . . . . . 473--488 Richard Bouldin The Pseudo-Inverse of a Product . . . . 489--495 F. T. Lindstrom and M. N. L. Narasimham Mathematical Theory of a Kinetic Model for Dispersion of Previously Distributed Chemicals in a Sorbing Porous Medium . . 496--510 L. D. Pyle and R. E. Cline The Generalized Inverse in Linear Programming --- Interior Gradient Projection Methods . . . . . . . . . . . 511--534 Lloyd K. Jackson Uniqueness of Solutions of Boundary Value Problems for Ordinary Differential Equations . . . . . . . . . . . . . . . 535--538 Edward R. Johnson and Raymond Parnes An Integral Representation of the Dirac Delta Function for Axisymmetric Boundary Value Problems . . . . . . . . . . . . . 539--544 Wayne T. Ford Convexity in Phase Behavior . . . . . . 545--551 W. C. Pye and T. L. Boullion and T. A. Atchison The Pseudoinverse of a Composite Matrix of Circulants . . . . . . . . . . . . . 552--555 K. B. Ranger A Note on Some Mixed Boundary Value Problems for the Heat Equation . . . . . 556--561 M. Balachandra Periodic Solutions of Singularly Perturbed Equations Arising from Gyroscopic Systems . . . . . . . . . . . 562--574 James P. Fink and William S. Hall and Siamak Khalili Perturbation Expansions for Some Nonlinear Wave Equations . . . . . . . . 575--595 J. R. Cannon and R. E. Klein On the Observability and Stability of the Temperature Distribution in a Composite Heat Conductor . . . . . . . . 596--602 B. D. Craven and B. Mond Transportation Theorems for Cone-Convex Functions . . . . . . . . . . . . . . . 603--612 Peter Wolfe Addendum To: Diffraction of Plane Waves by a Strip; Exact and Asymptotic Solutions --- The Solution in the General Case . . . . . . . . . . . . . . 613--618
Jace W. Nunziato A Note on Uniqueness in the Linear Theory of Heat Conduction with Finite Wave Speeds . . . . . . . . . . . . . . 1--4 Debasis Mitra and Hing C. So $ {P} $ Matrices and Solutions to a Class of Linear Inequalities . . . . . . 5--15 J. W. Bebernes and W. Kelley Some Boundary Value Problems for Generalized Differential Equations . . . 16--23 Michael Willett The Index of an $ {M} $-Sequence . . . . 24--27 L. A. Skinner ``Shooting Technique'' For Singular Perturbations . . . . . . . . . . . . . 28--31 Shih-Chih Chang The Distribution of Free Electrical Charge on the Surface of a Conducting Body --- the Robin Problem . . . . . . . 32--36 John W. Baker Oscillation Theorems For a Second Order Damped Nonlinear Differential Equation 37--40 R. Duncan Luce Three Axiom Systems for Additive Semiordered Structures . . . . . . . . . 41--53 Tsuan Wu Ting Torsional Rigidities for Bars Under Fully Plastic Torsion . . . . . . . . . 54--68 V. G. Sigillito and J. C. Pirkle, Jr. A Priori Inequalities and Norm Error Bounds for Solutions of a Third Order Diffusion-Like Equation . . . . . . . . 69--71 J. A. Richards and D. J. Miller Features of Mode Diagrams for $l$ th Order Periodic Systems . . . . . . . . . 72--82 T. C. Hu A New Proof of the $T$-$C$ Algorithm . . 83--94 Maurice Karlin and F. J. MacWilliams On Finding Low Weight Vectors in Quadratic Residue Codes for $ p = 8 m - 1 $ . . . . . . . . . . . . . . . . . . 95--104 D. R. Kassoy The Singularity at Boundary Layer Separation Due to Mass Injection . . . . 105--123 Louis B. Bushard Erratum: ``Periodic Solutions of Perturbed Autonomous Systems, and Locking-In'' [SIAM J. Appl. Math. \bf 22 (1972), no. 4, 519--528] . . . . . . . . 124--124
Bhu Dev Sharma and Ram Autar An Inversion Theorem and Generalized Entropies for Continuous Distributions 125--132 Gerald A. Shanholt Stability and Small Parameter Perturbations of a Critical Neutral Functional Differential Equation . . . . 133--141 Ljubomir B. Tosovic Some Experiments on Sparse Sets of Linear Equations . . . . . . . . . . . . 142--148 G. Richter On the Convergence of the Discrete Ordinate Method in Kinetic Theory . . . 149--157 Chi-Tsong Chen A Generalization of the Inertia Theorem 158--161 Bernard Kolman Preface (in Lie Algebras: Applications and Computational Methods) . . . . . . . 163--168 Eugene P. Wigner Reduction of Direct Products and Restriction of Representations to Subgroups: The Everyday Tasks of the Quantum Theorists (in Lie Algebras: Applications and Computational Methods) 169--185 B. R. Judd Lie Groups in Atomic and Molecular Spectroscopy (in Lie Algebras: Applications and Computational Methods) 186--192 Marcos Moshinsky Canonical Transformations and Quantum Mechanics (in Lie Algebras: Applications and Computational Methods) . . . . . . . 193--212 R. W. Brockett Lie Theory and Control Systems Defined on Spheres (in Lie Algebras: Applications and Computational Methods) 213--225 Willard Miller, Jr. Lie Theory and Generalizations of the Hypergeometric Functions (in Lie Algebras: Applications and Computational Methods) . . . . . . . . . . . . . . . . 226--235 Tom Koornwinder The Addition Formula for Jacobi Polynomials and Spherical Harmonics (in Lie Algebras: Applications and Computational Methods) . . . . . . . . . 236--246 A. O. Barut Some Unusual Applications of Lie Algebra Representations in Quantum Theory (in Lie Algebras: Applications and Computational Methods) . . . . . . . . . 247--259 Johan G. F. Belinfante Lie Algebras and Inhomogeneous Simple Materials (in Lie Algebras: Applications and Computational Methods) . . . . . . . 260--268 Bruno Gruber Properties of Linear Representations of Semisimple Lie Algebras (in Lie Algebras: Applications and Computational Methods) . . . . . . . . . . . . . . . . 269--286 J. McConnell Reduction of Representations of the General Linear Group Using Lie Algebras (in Lie Algebras: Applications and Computational Methods) . . . . . . . . . 287--299 Bernard Kolman and Robert E. Beck Computers in Lie Algebras. I: Calculation of Inner Multiplicities (in Lie Algebras: Applications and Computational Methods) . . . . . . . . . 300--312 Bernard Kolman and Robert E. Beck Computers in Lie Algebras. II: Calculation of Outer Multiplicities (in Lie Algebras: Applications and Computational Methods) . . . . . . . . . 313--323
J. B. Diaz The Inequality of Schwarz, and Pointwise Upper and Lower Bounds for the Dirichlet Problem . . . . . . . . . . . . . . . . 325--334 John L. Synge Linked Harmonic Oscillators . . . . . . 335--345 G. F. Newell Scheduling, Location, Transportation, and Continuum Mechanics; Some Simple Approximations to Optimization Problems 346--360 R. H. Plaut Elastic Minimum-Weight Design for Specified Critical Load . . . . . . . . 361--371 C. C. Lin Note on Stretching of Line and Surface Elements in Isotropic Turbulence . . . . 372--377 Bernard Budiansky and George F. Carrier The Pointless Wedge . . . . . . . . . . 378--387 R. E. Meyer and Lynn O. Wilson Stretching and Calculus of Negligibility 388--402 D. Adolphson and T. C. Hu Optimal Linear Ordering . . . . . . . . 403--423 W. T. Koiter On the Principle of Stationary Complementary Energy in the Nonlinear Theory of Elasticity . . . . . . . . . . 424--434 Philip G. Hodge, Jr. Complete Solutions for Elastic-Plastic Trusses . . . . . . . . . . . . . . . . 435--447 R. Hill and J. R. Rice Elastic Potentials and the Structure of Inelastic Constitutive Laws . . . . . . 448--461 P. S. Symonds Approximation Techniques for Impulsively Loaded Structures of Rate Sensitive Plastic Behavior . . . . . . . . . . . . 462--473 Geir A. Gunnlaugsson and John B. Martin Optimality Conditions for Fully Stressed Designs . . . . . . . . . . . . . . . . 474--482 R. T. Shield The Rotation Associated with Large Strains . . . . . . . . . . . . . . . . 483--491 E. H. Lee and Wei H. Yang On Waves in Composite Materials with Periodic Structure . . . . . . . . . . . 492--499 Ayfer Gurkok and H. G. Hopkins The Effect of Geometry Changes on the Load Carrying Capacity of Beams Under Transverse Load . . . . . . . . . . . . 500--521 E. T. Onat and F. Fardshisheh Representation of Creep, Rate Sensitivity and Plasticity . . . . . . . 522--538 W. Nachbar and J. M. Jong Quadratic Eigenvalue Problems from a Nonlinear Structural Analysis . . . . . 539--555 P. Germain The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure . . . 556--575 J. C. Nagtegaal Bounds on the Optimal Weight of Structures Under Compliance Constraints 576--581
Joseph B. Keller and Daljit S. Ahluwalia Uniform Asymptotic Solution of Eigenvalue Problems for Convex Plane Domains . . . . . . . . . . . . . . . . 583--591 E. C. Zachmanoglou Caratheodory's Theorem on the Second Law of Thermodynamics . . . . . . . . . . . 592--596 Carl D. Meyer, Jr. Generalized Inverses and Ranks of Block Matrices . . . . . . . . . . . . . . . . 597--602 James T. Jenkins Linearized Hydrostatics for Cholesteric Liquid Crystals . . . . . . . . . . . . 603--612 B. W. Dickinson Matricial Indices and Controllability of Linear Differential Systems . . . . . . 613--617 C. A. Holzmann and P. G. Norton and M. D. Tobey A Graphical Representation of Matroids 618--627 Elias Masry and Stamatis Cambanis The Representation of Stochastic Processes Without Loss of Information 628--633 Catherine Bandle Bounds for the Frequencies of an Inhomogeneous String . . . . . . . . . . 634--639 Donald S. Cohen Multiple Solutions and Periodic Oscillations in Nonlinear Diffusion Processes . . . . . . . . . . . . . . . 640--654 A. F. Messiter and R. L. Enlow A Model for Laminar Boundary-Layer Flow Near a Separation Point . . . . . . . . 655--670 Sujit Kumar Mitra Unified Least Squares Approach to Linear Estimation in a General Gauss--Markov Model . . . . . . . . . . . . . . . . . 671--680 M. Z. Nashed and H. Salehi Measurability of Generalized Inverses of Random Linear Operators . . . . . . . . 681--692 G. S. S. Ludford and R. A. Robertson Fully Diffused Regions . . . . . . . . . 693--703
George Phillip Barker Normal Matrices and the Lyapunov Equation . . . . . . . . . . . . . . . . 1--4 Ronald Smith Bouncing Ball Waves . . . . . . . . . . 5--14 Vladimir Kucera The Matrix Equation $ A X + X B = C $ 15--25 A. M. Fink Convergence and Almost Periodicity of Solutions of Forced Lienard Equations 26--34 Paul Gordon Paths Connecting Elementary Critical Points of Dynamical Systems . . . . . . 35--102 Sukhamay Kundu Disjoint Representation of Tree Realizable Sequences . . . . . . . . . . 103--107 Daljit S. Ahluwalia and Joseph B. Keller and Richard Jarvis Elastic Waves Produced by Surface Displacements . . . . . . . . . . . . . 108--119 V. J. Bowman and Claude-Alain Burdet On the General Solution to Systems of Mixed-Integer Linear Equations . . . . . 120--125 Robert E. Osteen Clique Detection Algorithms Based on Line Addition and Line Removal . . . . . 126--135 Patrick Habets A Consistency Theory of Singular Perturbations of Differential Equations 136--153 S. L. Hakimi On the Existence of Graphs with Prescribed Degrees and Connectivity . . 154--164 Shui-Nee Chow and D. R. Dunninger Lyapunov Functions Satisfying $ \ddot {V} > 0 $ . . . . . . . . . . . . . . . . 165--168 David Carlson and Emile Haynsworth and Thomas Markham A Generalization of the Schur Complement by Means of the Moore--Penrose Inverse 169--175 T. T. Kadota On the Information Stability of Stationary Ergodic Processes . . . . . . 176--182 Colin Rogers and John G. Kingston Nondissipative Magneto-Hydrodynamic Flows with Magnetic and Velocity Field Lines Orthogonal Geodesics . . . . . . . 183--195 Margaret C. Waid Strong Maximum Principles for Time Degenerate Parabolic Operators . . . . . 196--202 H. L. Hurd Stationarizing Properties of Random Shifts . . . . . . . . . . . . . . . . . 203--212 A. C. Pipkin and V. M. Sanchez Existence of Solutions of Plane Traction Problems for Ideal Composites . . . . . 213--220
Gerald Rosen Approximate Solution to the Generic Initial Value Problem for Nonlinear Reaction-Diffusion Equations . . . . . . 221--224 James B. Ewbank and Bob L. Foote and Hillel J. Kumin A Method for the Solution of the Distribution Problem of Stochastic Linear Programming . . . . . . . . . . . 225--238 Bezalel Peleg On Competitive Prices for Optimal Consumption Plans . . . . . . . . . . . 239--253 Fennell Burns and David Carlson and Emilie Haynsworth and Thomas Markham Generalized Inverse Formulas Using the Schur Complement . . . . . . . . . . . . 254--259 Fred S. Roberts Laws of Exchange and Their Applications 260--284 C. L. Chen and R. T. Chien and C. K. Liu On the Binary Representation Form of Certain Integers . . . . . . . . . . . . 285--293 D. J. Hartfiel and G. L. Curry Concerning the Solution Vector for Parametric Programming Problems . . . . 294--296 D. J. Hartfiel On Infinite Products of Nonnegative Matrices . . . . . . . . . . . . . . . . 297--301 Thomas A. Lambe Bounds on the Number of Feasible Solutions to a Knapsack Problem . . . . 302--305 L. B. Felsen Diffraction of the Pulsed Field From an Arbitrarily Oriented Electric or Magnetic Dipole by a Perfectly Conducting Wedge . . . . . . . . . . . . 306--312 D. L. Wang and D. J. Kleitman A Note on $n$-Edge-Connectivity . . . . 313--314 Charles A. Desoer and Felix F. Wu Nonlinear Monotone Networks . . . . . . 315--333 Touvia Miloh The Ultimate Image Singularities for External Ellipsoidal Harmonics . . . . . 334--344 H. Gunderson and H. Rigas and F. S. VanVleck A Technique for Determining Stability Regions for the Damped Mathieu Equation 345--349 S. K. Datta and J. D. Sangster Response of a Rigid Spheroidal Inclusion to an Incident Plane Compressional Elastic Wave . . . . . . . . . . . . . . 350--369 Marc T. Kaufman Counterexample to a Conjecture of Fujii, Kasami and Ninomiya . . . . . . . . . . 370--371 Barthel W. Huff Random Walks and the Continuity of Infinitely Divisible Distributions . . . 372--375 Robert M. Miura and Martin D. Kruskal Application of a Non Linear WKB Method to the Korteweg--de Vries Equation . . . 376--395 Edwin Cohen and Henry Ruston A Class of Optimal Polynomials Related to Electric Band-Pass Filters . . . . . 396--412 W. B. Bush and F. E. Fendell Asymptotic Analysis of Turbulent Channel Flow for Mixing Length Theory . . . . . 413--427 A. S. Farooqui and D. L. Sharma A Theorem on Electrical Induction . . . 428--430 L. Carlitz An Application of MacMahon's Master Theorem . . . . . . . . . . . . . . . . 431--436 Chien-Heng Wu Flattening of Tubelike Membranes of Revolution by Stretching --- Asymptotic Solution With Boundary Layer . . . . . . 437--446 A. R. DiDonato and M. P. Jarnagin, Jr. Maximum Likelihood Estimation in Quantal Response Experiments . . . . . . . . . . 447--454
B. K. Vaid and D. L. Jain An Integral Equation Technique . . . . . 455--468 Carl D. Meyer, Jr. Limits and the Index of a Square Matrix 469--478 Claude-Alain Burdet Generating All the Faces of a Polyhedron 479--489 L. S. Cheo and Edward L. Reiss Secondary Buckling of Circular Plates 490--495 M. S. Bazaraa and R. W. Langley A Dual Shortest Path Algorithm . . . . . 496--501 H. Salehi On the Bilateral Linear Predictor for Minimal Stationary Stochastic Processes 502--507 Peter J. Ponzo and Nelson Wax Weakly Coupled Harmonic Oscillators . . 508--527 H. W. Gould A Note on the Number of Linearly Inducible Orderings of Points in $d$-Space . . . . . . . . . . . . . . . 528--530 Richard C. Morgan and Samuel N. Karp Multi-Mode Surface Wave Diffraction by a Wedge . . . . . . . . . . . . . . . . . 531--538 James F. Geer Uniform Asymptotic Solutions for the Two-Dimensional Potential Field About a Slender Body . . . . . . . . . . . . . . 539--553 K. W. Chang Approximate Solutions of Nonlinear Boundary Value Problems Involving a Small Parameter . . . . . . . . . . . . 554--567 P. V. B. A. S. Sarma and B. S. Ramachandra Rao and S. Gopalacharyulu Flexure of a Long Flat Curved Plate Under End Loadings . . . . . . . . . . . 568--577 F. T. Lindstrom and W. M. Stone On the Start Up or Initial Phase of Linear Mass Transport of Chemicals in a Water Saturated Sorbing Porous Medium. I. . . . . . . . . . . . . . . . . . . . 578--591 F. T. Lindstrom and W. M. Stone On the Start Up or Initial Phase of Linear Mass Transport of Chemicals in a Water Saturated Sorbing Porous Medium. II: Integral Equation Approach . . . . . 592--606 Nimrod Megiddo Nucleoluses of Compound Simple Games . . 607--621 Terje Hansen On the Approximation of Nash Equilibrium Points in an $ {N} $-Person Noncooperative Game . . . . . . . . . . 622--637 J. Kevorkian On a Model for Reentry Roll Resonance 638--669 Klaus Schmitt Boundary Value Problems and Comparison Theorems for Ordinary Differential Equations . . . . . . . . . . . . . . . 670--678 R. P. Srivastav and R. P. Khetan A Procedure for Elastic Analysis of Cracked Plates . . . . . . . . . . . . . 679--685 J. Kevorkian Erratum: ``Passage through Resonance for a One-Dimensional Oscillator with Slowly Varying Frequency'' [SIAM J. Appl. Math. \bf 20 (1971), no. 3, 364--373] . . . . 686--686
Seymour V. Parter Solutions of a Differential Equation Arising in Chemical Reactor Processes 687--716 Jye Chen and R. E. O'Malley, Jr. On the Asymptotic Solution of a Two-Parameter Boundary Value Problem of Chemical Reactor Theory . . . . . . . . 717--729 Hidenori Kimura An Inverse Problem for Second Order Differential Systems and Waveform Design 730--744 John Clements Existence Theorems for a Quasilinear Evolution Equation . . . . . . . . . . . 745--752 Larry A. Crum and James A. Heinen Simultaneous Reduction and Expansion of Multidimensional Laplace Transform Kernels . . . . . . . . . . . . . . . . 753--771 Gerald Seguin On Obtaining Orbit Representatives for a Class of Groups with Operators . . . . . 772--775 James Alan Cochran and Erold W. Hinds Eigensystems Associated with the Complex-Symmetric Kernels of Laser Theory . . . . . . . . . . . . . . . . . 776--786 Peter H. Sellers On the Theory and Computation of Evolutionary Distances . . . . . . . . . 787--793 Fedor Herbut and Philippe Loncke and Milan Vujicic Canonical Form for Matrices Under Unitary Congruence Transformations. II: Congruence-Normal Matrices . . . . . . . 794--805 Donald G. Saari Restrictions on the Motion of the Three-Body Problem . . . . . . . . . . . 806--815 William J. Steinmetz On a Nonlinear Singular Perturbation Boundary Value Problem in Gas Lubrication Theory . . . . . . . . . . . 816--827 T. N. E. Greville Solutions of the Matrix Equation $ {XAX} = {X} $, and Relations between Oblique and Orthogonal Projectors . . . . . . . 828--832
R. H. Moore and M. Z. Nashed Approximations to Generalized Inverses of Linear Operators . . . . . . . . . . 1--16 Shmuel Gal Minimax Solutions for Linear Search Problems . . . . . . . . . . . . . . . . 17--30 Marshall L. Fisher and Jeremy F. Shapiro Constructive Duality in Integer Programming . . . . . . . . . . . . . . 31--52 D. R. Jensen Robustness of Some Distribution of Products and Quotients Under $ \epsilon $- Independence . . . . . . . . . . . . 53--58 George T. Duncan Heterogeneous Questionnaire Theory . . . 59--71 C. Y. Chan Existence, Uniqueness, Upper and Lower Bounds of Solutions of Nonlinear Space-Time Nuclear Reactor Kinetics . . 72--82 C. V. Pao Method of Successive Approximations for Nonlinear Stationary Transport Equations 83--92 R. W. Dickey A Bifurcation Problem for a Fourth Order Nonlinear Ordinary Differential Equation 93--101 J. G. Simmonds and C. G. Tropf The Fundamental (Normal Point Load) Solution for a Shallow Hyperbolic Paraboloidal Shell . . . . . . . . . . . 102--120 M. P. Ojha Location of Limit Cycles by a Comparison Method . . . . . . . . . . . . . . . . . 121--130 Pierre Mereau and Jean-Guy Paquet Second Order Conditions for Pseudo-Convex Functions . . . . . . . . 131--137 L. W. Chen and L. B. Felsen Ray Method for Scattering by Discontinuities in a Multiwave Wave Guide . . . . . . . . . . . . . . . . . 138--158 John W. Baker Stability Properties of a Second Order Damped and Forced Nonlinear Differential Equation . . . . . . . . . . . . . . . . 159--166 Werner E. Kohler and William E. Boyce A Numerical Analysis of Some First Order Stochastic Initial Value Problems . . . 167--179 Stanley B. Eliason Lyapunov Type Inequalities for Certain Second Order Functional Differential Equations . . . . . . . . . . . . . . . 180--199 L. M. Perko Periodic Orbits in the Restricted Three-Body Problem: Existence and Asymptotic Approximation . . . . . . . . 200--237
Lawrence D. Stone and Henry R. Richardson Search for Targets with Conditionally Deterministic Motion . . . . . . . . . . 239--255 Neil Berger Estimates for the Derivatives of the Velocity and Pressure in Shallow Water Flow and Approximate Shallow Water Equations . . . . . . . . . . . . . . . 256--280 D. J. Hartfiel Concerning Spectral Inverses of Stochastic Matrices . . . . . . . . . . 281--292 H. Kara and V. Mandrekar and G. L. Park Wide-Sense Martingale Approach to Linear Optimal Estimation . . . . . . . . . . . 293--302 Chris Rorres Transmission Coefficients and Eigenvalues of a Finite One-Dimensional Crystal . . . . . . . . . . . . . . . . 303--321 W. T. Stallings and T. L. Boullion A Strong Spectral Inverse for an $r$-Circulant Matrix . . . . . . . . . . 322--325 D. T. Barwick and J. D. Gilbert On Generalizations of the Reverse Order Law . . . . . . . . . . . . . . . . . . 326--330 Z. U. A. Warsi A Class of External Flows Exhibiting Self-Similarity in Three-Dimensional Boundary Layers . . . . . . . . . . . . 331--340 Jerry F. Kuzanek Existence and Uniqueness of Solutions to a Fourth Order Nonlinear Eigenvalue Problem . . . . . . . . . . . . . . . . 341--354 Nimrod Megiddo On the Nonmonotonicity of the Bargaining Set, The Kernel and the Nucleolus of a Game . . . . . . . . . . . . . . . . . . 355--358 R. P. Gupta and G. C. Jain A Generalized Hermite Distribution and its Properties . . . . . . . . . . . . . 359--363
D. O. Banks Bounds for Eigenvalues and Conditions for Existence of Conjugate Points . . . 365--375 Pao-Liu Chow On the Exact and Approximate Solutions of a Random Parabolic Equation . . . . . 376--397 J. Michael Dolan and Gene A. Klaasen On the Disconjugate Behavior of $ y''' + p y = 0 $ . . . . . . . . . . . . . . . 398--403 Mithat Idemen On the Functional Equation Related to the Three-Part Mixed Boundary Value Problems . . . . . . . . . . . . . . . . 404--415 Donald S. Cohen and Aubrey B. Poore Tubular Chemical Reactors: The ``Lumping Approximation'' and Bifurcation of Oscillatory States . . . . . . . . . . . 416--429 G. S. S. Ludford and Sharon S. Wilson Subcharacteristic Reversal . . . . . . . 430--440 Charles G. Lange and Alan C. Newell A Stability Criterion for Envelope Equations . . . . . . . . . . . . . . . 441--456 Herbert B. Rosenstock Random Walk on Lattices with Uncertain Traps . . . . . . . . . . . . . . . . . 457--463 A. M. J. Davis Short Surface Waves in the Presence of a Submerged Sphere . . . . . . . . . . . . 464--478 A. M. J. Davis Short Surface Waves in the Presence of a Submerged Circular Cylinder . . . . . . 479--491 C. W. Davis Elementary Divisors of the Stein Transformation $ {X} \rightarrow {X} - {CXC} $ . . . . . . . . . . . . . . . . 492--494 P. M. Gibson Unitary and Orthogonal Transformations on Matrices . . . . . . . . . . . . . . 495--499 Russell W. Stineman Calculation of a Constrained Minimal Symmetric Matrix . . . . . . . . . . . . 500--502 Ronald Smith A Least Squares Version of Short Wave Asymptotics . . . . . . . . . . . . . . 503--516 Kern O. Kymn A Simple Derivation of the Relation Between $t$- and $ {F} $-Distributions 517--518 Bhu Dev Sharma and Ram Autur Erratum: ``An Inversion Theorem and Generalized Entropies for Continuous Distributions'' [SIAM J. Appl. Math. \bf 25 (1973), no. 2, 125--132] . . . . . . 519--519
F. Novomestky Asymptotic Expressions for the Unit-Step and Dirac Delta Functions . . . . . . . 521--525 A. K. Gautesen Resonance for a Forced $ {N} $-Dimensional Oscillator . . . . . . . . 526--530 Jerry R. Ridenhour On the Continuity of Conjugate Point Functions . . . . . . . . . . . . . . . 531--538 J. Buchanan Bounds on the Growth of a Class of Oscillatory Solutions of $ y'(x) = m y(x - d(x)) $ with Bounded Delay . . . . . . 539--543 Aaron D. Wyner On the Probability of Buffer Overflow Under an Arbitrary Bounded Input-Output Distribution . . . . . . . . . . . . . . 544--570 Richard R. Mitchell and Frank Kozin Sample Stability of Second Order Linear Differential Equations with Wide Band Noise Coefficients . . . . . . . . . . . 571--605 O. Achou The Number of Feasible Solutions to a Knapsack Problem . . . . . . . . . . . . 606--610 P. R. Sethna and M. Balachandra Some Asymptotic Results for Systems with Multiple Time Scales . . . . . . . . . . 611--625 Roger J. Cook Complementary Graphs and Total Chromatic Numbers . . . . . . . . . . . . . . . . 626--628 Robert Abrams and Marcus Bunting Reducing Reversed Posynomial Programs 629--640 Shmuel Gal A Discrete Search Game . . . . . . . . . 641--648 Edmond Ghandour Initial Value Problem for Boundary Values of a Green's Function . . . . . . 649--655 Barbara Abraham-Shrauner Perturbation Expansions for the Potential of a Small Radius, Charged Dielectric Sphere in 1-1 Electrolytes 656--665
H. I. Freedman and P. Waltman Perturbation of Two-Dimensional Predator-Prey Equations . . . . . . . . 1--10 C. Rogers Invariance and Reducibility Properties Under a Class of $ (m, 2) $-Baecklund Transformations . . . . . . . . . . . . 11--23 V. Komkov Certain Estimates for Solutions of Nonlinear Elliptic Differential Equations Applicable to the Theory of Thin Plates . . . . . . . . . . . . . . 24--34 David Sankoff Minimal Mutation Trees of Sequences . . 35--42 J. P. G. Ewer and L. A. Peletier On the Asymptotic Behavior of Solutions of Semilinear Parabolic Equations . . . 43--53 F. J. Testa Congruence Diagonalization and Lie Groups . . . . . . . . . . . . . . . . . 54--59 W. N. Anderson, Jr. and G. E. Trapp Shorted Operators. II . . . . . . . . . 60--71 James M. Dobbie Search for an Avoiding Target . . . . . 72--86 James Flynn Steady State Policies for a Class of Deterministic Dynamic Programming Models 87--99 H. S. Witsenhausen On Sequences of Pairs of Dependent Random Variables . . . . . . . . . . . . 100--113 William N. Anderson, Jr. Maximum Matching and the Rank of a Matrix . . . . . . . . . . . . . . . . . 114--123 J. Pitkaranta and P. Silvennoinen A Symmetrized Perturbation Procedure for the Transport Operator . . . . . . . . . 124--129 K. A. Zischka and P. S. Chow On a Certain Boundary Value Problem and its Relevance in the Theory of Surface Induction Hardening . . . . . . . . . . 130--153 Robert E. Hartwig $ A X - X B = C $, Resultants and Generalized Inverses . . . . . . . . . . 154--183 V. I. Nath On the Uniqueness of Transverse MHD Flows with Same Streamline Pattern . . . 184--189 Rui J. P. de Figueiredo and A. N. Netravali On the Construction of Minimum Bandwidth Functions from Discrete Data . . . . . . 190--201 Paco A. Lagerstrom Solutions of the Navier--Stokes Equation at Large Reynolds Number . . . . . . . . 202--214 W. R. Sears and D. P. Telionis Boundary-Layer Separation in Unsteady Flow . . . . . . . . . . . . . . . . . . 215--235
T. Downs Some Properties of the Souriau-Frame Algorithm with Application to the Inversion of Rational Matrices . . . . . 237--251 Jeannette Rosenstark On a Sequence of Subcodes of the Quadratic Residue Code for $ p = 8 m + 1 $ . . . . . . . . . . . . . . . . . . . 252--264 Bhagat Singh Nonoscillation of Forced Fourth Order Retarded Equations . . . . . . . . . . . 265--269 I. J. Good The Lagrange Distributions and Branching Processes . . . . . . . . . . . . . . . 270--275 Arunabha Bagchi A Martingale Approach to Continuous-Time Linear Smoothing . . . . . . . . . . . . 276--281 Gerard J. Foschini Demodulating Analytically Modulated Signals After Propagation Over Certain Channels . . . . . . . . . . . . . . . . 282--289 Sukhamay Kundu Disjoint Representation of Three Tree Realizable Sequences. I . . . . . . . . 290--302 Volker Bohm On the Continuity of the Optimal Policy Set for Linear Programs . . . . . . . . 303--306 Donald S. Cohen and James P. Keener Oscillatory Processes in the Theory of Particulate Formation in Supersaturated Chemical Solutions . . . . . . . . . . . 307--318 Raymond D. Terry Some Oscillation Criteria for Delay-Differential Equations of Even Order . . . . . . . . . . . . . . . . . 319--334 Egon Balas Nonconvex Quadratic Programming Via Generalized Polars . . . . . . . . . . . 335--349 Shoshana Abramovich Monotonicity of Eigenvalues Under Symmetrization . . . . . . . . . . . . . 350--361 F. J. Testa Bounds on Solutions to Certain Nonlinear Reaction-Diffusion Equations . . . . . . 362--366 Charles D. Pack A Comparison of the Output Process of an $ M / D / 1 $ Queue as Measured from an Arbitrary Departure Epoch to that Measured from an Arbitrary Instant in Time . . . . . . . . . . . . . . . . . . 367--375 M. Gordon and J. W. Kennedy The Counting and Coding of Trees of Fixed Diameter . . . . . . . . . . . . . 376--398 K. S. Parihar and P. S. Kushwaha The Stress Intensity Factors for Two Symmetrically Located Griffith Cracks in an Elastic Strip in Which Symmetrical Body Forces are Acting . . . . . . . . . 399--410 Abraham Ungar An Electromagnetic Progressing Wave Representation for the Field of a Uniformly Moving Point Charge . . . . . 411--418 Cornelius O. Horgan On Korn's Inequality for Incompressible Media . . . . . . . . . . . . . . . . . 419--430 Harold L. Rogler and Eli Reshotko Disturbances in a Boundary Layer Introduced by a Low Intensity Array of Vortices . . . . . . . . . . . . . . . . 431--462 G. F. Carrier and F. E. Fendell and F. E. Marble The Effect of Strain Rate on Diffusion Flames . . . . . . . . . . . . . . . . . 463--500 K. Stewartson On the Asymptotic Theory of Separated and Unseparated Fluid Motions . . . . . 501--518 W. A. Mair and P. K. Stansby Vortex Wakes of Bluff Cylinders in Shear Flow . . . . . . . . . . . . . . . . . . 519--540
Baruch Cahalon The Relation Between the Steady State Solution and the Solution of a Minimum Problem . . . . . . . . . . . . . . . . 541--546 W. Y. Tan Some Matrix Results and Extensions of Cochran's Theorem . . . . . . . . . . . 547--554 D. J. Wright Multidimensional Hermite Polynomials and Ito Equations . . . . . . . . . . . . . 555--558 Richard E. Neapolitan and Warren S. Edelstein A Priori Bounds for the Secondary Boundary Value Problem in Linear Viscoelasticity . . . . . . . . . . . . 559--564 M. Gondran and J. F. Maurras Remarks on the Structure of Some Integer Algorithms . . . . . . . . . . . . . . . 565--567 J. G. Ecker and R. D. Niemi A Dual Method for Quadratic Programs with Quadratic Constraints . . . . . . . 568--576 David Carlson Matrix Decompositions Involving the Schur Complement . . . . . . . . . . . . 577--587 Y.-M. J. Demoulin and Y. M. Chen An Iteration Method for Solving Nonlinear Eigenvalue Problems . . . . . 588--595 Austin J. Lemoine Limit Theorems for Generalized Single Server Queues: The Exceptional System 596--606 D. J. Hartfiel and C. J. Maxson A Study of Minimally Unilateral Digraphs 607--610 S. P. Travis A One-Dimensional Two-Body Problem of Classical Electrodynamics . . . . . . . 611--632 N. Bleistein and J. K. Cohen An Analysis of Scaling for Linear Inviscid Internal Waves . . . . . . . . 633--641 William B. Bush An Asymptotic Analysis of Strong Radiation-Resisted Normal Shock Waves 642--656 H. G. Herbert A Note on First Emptiness in a Discrete Storage System with Markovian Inputs . . 657--661 J. M. Greenberg and F. Hoppensteadt Asymptotic Behavior of Solutions to a Population Equation . . . . . . . . . . 662--674 M. S. Tyagi On Some Properties of $n$-Tournaments: A Note . . . . . . . . . . . . . . . . . . 675--677 S. P. Hastings and J. D. Murray The Existence of Oscillatory Solutions in the Field--Noyes Model for the Belousov--Zhabotinskii Reaction . . . . 678--688 H. W. Liepmann Fluid Dynamics of Liquid Helium . . . . 689--699 James Witting On the Highest and Other Solitary Waves 700--719 Milton van Dyke Computer Extension of Perturbation Series in Fluid Mechanics . . . . . . . 720--734
Marten T. Landahl Wave Breakdown and Turbulence . . . . . 735--756 Leon Trilling The Knudsen Boundary Layer in Low Density Gas Flow Past a Crystal . . . . 757--777 Richard R. Mitchell and Frank Kozin Erratum: ``Sample Stability of Second Order Linear Differential Equations with Wide Band Noise Coefficients'' [SIAM J. Appl. Math. \bf 27 (1974), no. 4, 571--605] . . . . . . . . . . . . . . . 778--778 Mark J. Eisner and Paul Olsen Duality for Stochastic Programming Interpreted as L.P. in $ {L}_p $-Space 779--792 Elias Masry and Ming-Chuan C. Lui A Consistent Estimate of the Spectrum by Random Sampling of the Time Series . . . 793--810 William B. Bush The Slip-Dominated Merged Layer Regime for Newtonian Hypersonic Flow Past a Flat Plate . . . . . . . . . . . . . . . 811--823 H. P. Young Social Choice Scoring Functions . . . . 824--838 Lee Kaminetzky and Joseph B. Keller Diffraction by Edges and Vertices of Interfaces . . . . . . . . . . . . . . . 839--856 M. C. Shen and J. B. Keller Uniform Ray Theory of Surface, Internal and Acoustic Wave Propagation in a Rotating Ocean or Atmosphere . . . . . . 857--875 C. L. Mallows and N. J. A. Sloane Two-Graphs, Switching Classes and Euler Graphs are Equal in Number . . . . . . . 876--880 Carl G. Looney Locally Uniformly Quasi-Convex Programming . . . . . . . . . . . . . . 881--884 Edmond Ghandour One-Dimensional Random Wave Propagation 885--898 Chia-Shun Yih Vortices and Vortex Rings of Stratified Fluids . . . . . . . . . . . . . . . . . 899--912
F. Einaudi On the Convergence of an Iterative Method for Studying Nonlinear Oscillations Without Damping . . . . . . 1--11 David Rappaport and Joshua Dayan On Convergence for Spatially Inhomogeneous Multiphase Transport Systems . . . . . . . . . . . . . . . . 12--19 R. K. Miller A System of Renewal Equations . . . . . 20--34 H. K. Wilson A Boundary Layer Solution for a Flow Past a Plate with Parabolic Edge . . . . 35--39 C. V. Pao The Energy-Dependent Diffusion System in Nuclear Reactor Dynamics . . . . . . . . 40--59 Ehud Kalai Excess Functions for Cooperative Games Without Sidepayments . . . . . . . . . . 60--71 B. Mehri and G. G. Hamedani On the Existence of Periodic Solutions of Nonlinear Second Order Differential Equations . . . . . . . . . . . . . . . 72--76 Robert A. Jones Comparison Theorems for Matrix Riccati Equations . . . . . . . . . . . . . . . 77--90 G. A. Neufeld and J. Tartar Generalized Graph Colorations . . . . . 91--98 Gene A. Klaasen Continuous Dependence for $ {N} $-Point Boundary Value Problems . . . . . . . . 99--102 David C. Lay Spectral Properties of Generalized Inverses of Linear Operators . . . . . . 103--109 S. Rosenblat and J. Shepherd On the Asymptotic Solution of the Lagerstrom Model Equation . . . . . . . 110--120 T. C. Adamson, Jr. and A. Feo Interaction Between a Shock Wave and a Turbulent Boundary Layer in Transonic Flow . . . . . . . . . . . . . . . . . . 121--145 Gerald Rosen Solutions to the Nonlinear Recombination Equation for the Infinite Spatial Domain 146--151 Frank J. Hall Generalized Inverses of a Bordered Matrix of Operators . . . . . . . . . . 152--163 J. Boersma Ray-Optical Analysis of Reflection in an Open-Ended Parallel-Plane Waveguide. I: TM Case . . . . . . . . . . . . . . . . 164--195 Orlando Lopes Forced Oscillations in Nonlinear Neutral Differential Equations . . . . . . . . . 196--207 Tore Leversen and Jacqueline Naze Tjotta Solution of a Stationary Fokker--Planck Equation . . . . . . . . . . . . . . . . 208--217 Lester W. Schmerr, Jr. A Class of Shear Wave Problems in an Elastic Wedge . . . . . . . . . . . . . 218--224
Fred S. Roberts [Preface] (in Special Issue on Mathematics and the Social and Biological Sciences) . . . . . . . . . . v--v M. Frank Norman Approximation of Stochastic Processes by Gaussian Diffusions, and Applications to Wright--Fisher Genetic Models (in Special Issue on Mathematics and the Social and Biological Sciences) . . . . 225--242 Robert M. May and Warren J. Leonard Nonlinear Aspects of Competition Between Three Species (in Special Issue on Mathematics and the Social and Biological Sciences) . . . . . . . . . . 243--253 Kenneth P. Bogart Preference Structures II: Distances Between Asymmetric Relations (in Special Issue on Mathematics and the Social and Biological Sciences) . . . . . . . . . . 254--262 Peter C. Fishburn Finite Additive Choice Structures (in Special Issue on Mathematics and the Social and Biological Sciences) . . . . 263--272 Peter Wolfe Low Frequency Diffraction by a Hard Strip . . . . . . . . . . . . . . . . . 273--287 F. T. Lindstrom and F. Oberhettinger A Note on a Laplace Transform Pair Associated with Mass Transport in Porous Media and Heat Transport Problems . . . 288--292 S. M. Bogdonoff Some Remarks on Shock Wave Turbulent Boundary-Layer Interaction at High Reynolds Number . . . . . . . . . . . . 293--308 J. Rom Flows with Strong Interaction Between the Viscous and Inviscid Regions . . . . 309--328 S. Abarbanel and D. Gottlieb and E. Turkel Difference Schemes with Fourth Order Accuracy for Hyperbolic Equations . . . 329--351 C. C. Lin and Y. Y. Lau On Spiral Waves in Galaxies --- A Gas Dynamic Approach . . . . . . . . . . . . 352--370
George J. Fix Finite Element Models for Ocean Circulation Problems . . . . . . . . . . 371--387 Nimrod Megiddo Tensor Decomposition of Cooperative Games . . . . . . . . . . . . . . . . . 388--405 R. W. Gunderson and E. E. Underwood Stability of a Class of Matrices Similar to Nonnegative Matrices . . . . . . . . 406--408 Jacques A. Ferland On the Maximum of a Quasi-Convex Quadratic Function on a Polyhedral Convex Set . . . . . . . . . . . . . . . 409--415 A. N. Beavers, Jr. and E. D. Denman A New Solution Method for the Lyapunov Matrix Equation . . . . . . . . . . . . 416--421 T. A. Burton Perturbations and Delays in Differential Equations . . . . . . . . . . . . . . . 422--438 Lawrence E. Levine and Eric S. Lubot Optimal Approximate Solutions and Time Scales . . . . . . . . . . . . . . . . . 439--448 John E. Fletcher A Model Describing the Unsteady Transport of Substrate to Tissue from the Microcirculation . . . . . . . . . . 449--480 R. E. Meyer Gradual Reflection of Short Waves . . . 481--492 Alan Tucker Coloring a Family of Circular Arcs . . . 493--502 Charles Bird A Class of Convex Nuclei Solution Concepts from Differences in Coalition Excesses . . . . . . . . . . . . . . . . 503--510 J. L. Lavoie The $ m t h $ Power of an $ n \times n $ Matrix and the Bell Polynomials . . . . 511--514 H. S. Witsenhausen A Determinant Maximization Problem Occurring in the Theory of Data Communication . . . . . . . . . . . . . 515--522 Shoshana Abramovich Some Properties of Eigenfunctions . . . 523--529 Curtis Greene and Thomas L. Magnanti Some Abstract Pivot Algorithms . . . . . 530--539 William L. Siegmann and Lester A. Rubenfeld A Nonlinear Model for Double-Diffusive Convection . . . . . . . . . . . . . . . 540--557 H. T. Yang and L. C. Chien Analytic Solutions of the Falkner--Skan Equation when $ \beta = - 1 $ and $ \gamma = 0 $ . . . . . . . . . . . . . . 558--569
J. Soukup On Minimum Cost Networks with Nonlinear Costs . . . . . . . . . . . . . . . . . 571--581 S. H. Zemell Diffraction of Elastic Waves by a Rigid-Smooth Wedge . . . . . . . . . . . 582--596 Lu Ting Spherical Means of Solutions of Partial Differential Equations in a Conical Region . . . . . . . . . . . . . . . . . 597--623 Don Coppersmith and Edna Grossman Generators for Certain Alternating Groups with Applications to Cryptography 624--627 David E. Gilsinn The Method of Averaging and Domains of Stability for Integral Manifolds . . . . 628--660 P. L. Corio Orthonormal Expansions of Angular Momentum Functions . . . . . . . . . . . 661--664 Hans Birger Drange The Linearized Boltzmann Collision Operator for Cut-Off Potentials . . . . 665--676 Khursheed Alam On Norms and Singular Values of Rectangular Matrices . . . . . . . . . . 677--679 Werner C. Rheinboldt and James S. Vandergraft On Piecewise Affine Mappings in $ {R}^n $ . . . . . . . . . . . . . . . . . . . 680--689 J. B. Garner Oscillatory criteria for a general second order, functional differential equation . . . . . . . . . . . . . . . . 690--698 Dieter K. Ross The Interaction Energy, Field Strength and Force Acting on a Pair of Dielectric Spheres Embedded in a Dielectric Medium 699--707 Willy Gochet and Yves Smeers Constraint Sets of Geometric Programs Characterized by Auxiliary Problems . . 708--718 H. I. Freedman and P. Waltman Perturbation of Two-Dimensional Predator-Prey Equations with an Unperturbed Critical Point . . . . . . . 719--733 Jesse M. Shapiro Domains of Attraction for Reciprocals of Powers of Random Variables . . . . . . . 734--739 Barry Alan Pasternack Optimal Gambling Systems under Discounting and Disbursement . . . . . . 740--750 Michael A. Crane A Bounding Technique for Polynomial Functions . . . . . . . . . . . . . . . 751--754 H. S. Witsenhausen An Inequality for Discrete Convex Hulls and Applications . . . . . . . . . . . . 755--762 Julian D. Cole Modern Developments in Transonic Flow 763--787
R. W. Dickey Nonlinear Bending of Circular Plates . . 1--9 Stamatis Cambanis and Elias Masry Zakai's Class of Bandlimited Functions and Processes: Its Characterization and Properties . . . . . . . . . . . . . . . 10--21 R. S. Anderssen and R. P. Brent and D. J. Daley and P. A. P. Moran Concerning $ \int^1_0 \cdots \int^1_0 (x^2_1 + \cdots + x^2_k)^{1 / 2} d x_1 \cdots d x_k $ and a Taylor Series Method . . . . . . . . . . . . . . . . . 22--30 J. M. Greenberg and S. Hastings Progressive Waves in Materials Exhibiting Long Range Memory . . . . . . 31--41 K. W. Chang Singular Perturbations of a Boundary Problem for a Vector Second Order Differential Equation . . . . . . . . . 42--54 Nicos Christofides and P. Brooker The Optimal Partitioning of Graphs . . . 55--69 Walter G. Kelley Periodic Solutions of Generalized Differential Equations . . . . . . . . . 70--74 Paul L. Davis On the Hyperbolicity of the Equations of the Linear Theory of Heat Conduction for Materials with Memory . . . . . . . . . 75--80 Louis J. Billera and Robert E. Bixby Pareto Surfaces of Complexity $1$ . . . 81--89 G. D. Allen On the Multiplicity and Spectral Type of a Class of Stochastic Processes . . . . 90--97 R. G. Stanton and R. C. Mullin On the Nonexistence of a Class of Circulant Balanced Weighing Matrices . . 98--102 I. J. Good The Relationship of a Formula of Carlitz to the Generalized Lagrange Expansion 103--103 F. K. Hwang On Steiner Minimal Trees with Rectilinear Distance . . . . . . . . . . 104--114 D. Tjostheim A Commutation Relation for Wide Sense Stationary Processes . . . . . . . . . . 115--122 James A. Boa and Donald S. Cohen Bifurcation of Localized Disturbances in a Model Biochemical Reaction . . . . . . 123--135 Hans-Bernhard Meyer The Matrix Equation $ A Z + B - Z C Z - Z D = 0 $ . . . . . . . . . . . . . . . 136--142 Stephen B. Maurer Matrix Generalizations of Some Theorems on Trees, Cycles and Cocycles in Graphs 143--148 Alfred Inselberg and Richard S. Chadwick Mathematical Model of the Cochlea. I: Formulation and Solution . . . . . . . . 149--163 R. S. Chadwick and A. Inselberg and K. Johnson Mathematical Model of the Cochlea. II: Results and Conclusions . . . . . . . . 164--179 W. E. Olmstead and Richard A. Handelsman Asymptotic Solution to a Class of Nonlinear Volterra Integral Equations. II . . . . . . . . . . . . . . . . . . . 180--189
M. R. Rao Adjacency of the Traveling Salesman Tours and $0$-$1$ Vertices . . . . . . . 191--198 J. M. Greenberg Periodic Solutions to Reaction-Diffusion Equations . . . . . . . . . . . . . . . 199--205 D. J. Kleitman and D. L. Wang Decomposition of a Graph Realizing a Degree Sequence into Disjoint Spanning Trees . . . . . . . . . . . . . . . . . 206--221 A. Peskoff and R. S. Eisenberg and J. D. Cole Matched Asymptotic Expansions of the Green's Function for the Electric Potential in an Infinite Cylindrical Cell . . . . . . . . . . . . . . . . . . 222--239 J. A. Richards Stability Diagram Approximation for the Lossy Mathieu Equation . . . . . . . . . 240--247 R. W. Dickey Stability Theory for the Damped Sine-Gordon Equation . . . . . . . . . . 248--262 W. Kohler and G. C. Papanicolaou Power Reflection from a Lossy One-Dimensional Random Medium . . . . . 263--268 Alan J. Lee On Band Limited Stochastic Processes . . 269--277 A. H. Zemanian The Complete Behavior of Certain Infinite Networks Under Kirchhoff's Node and Loop Laws . . . . . . . . . . . . . 278--295 F. A. Howes Effective Characterization of the Asymptotic Behavior of Solutions of Singularly Perturbed Boundary Value Problems . . . . . . . . . . . . . . . . 296--306 Stratis Kounias and Jacqueline Marin Best Linear Bonferroni Bounds . . . . . 307--323 Shmuel Gal and Dan Chazan On the Optimality of the Exponential Functions for Some Minimax Problems . . 324--348 James D. Foch, Jr. Simple Proof of the Convergence of Shanks's Transformations for Meromorphic Functions . . . . . . . . . . . . . . . 349--351 E. F. Assmus, Jr. and H. F. Mattson, Jr. and Howard E. Sachar A New Form of the Square Root Bound . . 352--354 A. J. A. Morgan Higher Order Tensors . . . . . . . . . . 355--380
S. Rosenblat An Existence Theorem for Waves in a Channel . . . . . . . . . . . . . . . . 381--390 Paul Gordon Scaling of a System of Linear Differential Equations . . . . . . . . . 391--401 Richard C. Grinold and Robert E. Stanford Limiting Distributions in a Linear Fractional Flow Model . . . . . . . . . 402--406 Michael Tortorella and James A. Leise The Unitarity Equations for Matrices and the Problem of Determining the Scattering Amplitude from the Differential Cross Section . . . . . . . 407--420 G. Galbiati and F. P. Preparata On Permutation-Embedding Sequences . . . 421--423 R. N. Hills and R. J. Knops Qualitative Results for a Class of General Materials . . . . . . . . . . . 424--451 B. K. Vaid and D. L. Jain Some Electrostatic and Hydrodynamic Problems for Two Spherical Caps . . . . 452--462 C. J. Eliezer and A. Gray A Note on the Time-Dependent Harmonic Oscillator . . . . . . . . . . . . . . . 463--468 Peter E. Cornwell and David H. Y. Yen Boundary Value Problems in the Improved Theory of Elastic Plates. I: Existence of Eigenvibrations for Plates of Arbitrary Shape . . . . . . . . . . . . 469--482 Steven Nahmias and William P. Pierskalla A Two-Product Perishable/Nonperishable Inventory Problem . . . . . . . . . . . 483--500 C. V. Pao On the Energy-Dependent Neutron Transport Problem with Arbitrary Geometry . . . . . . . . . . . . . . . . 501--514 G. F. Carrier and F. E. Fendell The Effect of Strain Rate on Diffusion Flames. II: Large Straining . . . . . . 515--527 Manfred Schal On the Optimality of $ (s, {S}) $-Policies in Dynamic Inventory Models with Finite Horizon . . . . . . . . . . 528--537 Aharon Ben-Tal and Adi Ben-Israel Primal Geometric Programs Treated by Linear Programming . . . . . . . . . . . 538--556 R. C. MacCamy Stability Theorems for a Class of Functional Differential Equations . . . 557--576 M. R. Garg and O. P. Chandna Viscous Orthogonal MHD Flows . . . . . . 577--585
Michael P. Mortell and Brian R. Seymour Exact Solutions of a Functional Equation Arising in Nonlinear Wave Propagation 587--596 Stephen M. Robinson First Order Conditions for General Nonlinear Optimization . . . . . . . . . 597--607 W. Y. Tan Errata: ``Some Matrix Results and Extensions of Cochran's Theory'' [SIAM J. Appl. Math. \bf 28 (1975), no. 3, 547--554] . . . . . . . . . . . . . . . 608--610 A. M. J. Davis The Density Variations of a Heterogeneous Ambient Flow . . . . . . . 611--616 Frank J. Hall and Robert E. Hartwig Further Results on Generalized Inverses of Partitioned Matrices . . . . . . . . 617--624 Michael Koren Edge Disjoint Realizations of Two Forest-Realizable Sequences . . . . . . 625--629 E. G. Kalnins and W. Miller, Jr. and P. Winternitz The Group $ {O}(4) $, Separation of Variables and the Hydrogen Atom . . . . 630--664 J. M. Cushing Forced Asymptotically Periodic Solutions of Predator-Prey Systems With or Without Hereditary Effects . . . . . . . . . . . 665--674 A. B. Poore On the Dynamical Behavior of the Two-Temperature Feedback Nuclear Reactor Model . . . . . . . . . . . . . . . . . 675--686 Raphael Loewy On Ranges of Lyapunov Transformations. III . . . . . . . . . . . . . . . . . . 687--702 Stephen L. Campbell Differentiation of the Drazin Inverse 703--707 David E. Bell Constructive Group Relaxations for Integer Programs . . . . . . . . . . . . 708--719 B. J. Matkowsky and W. L. Siegmann The Flow Between Counter-Rotating Disks at High Reynolds Number . . . . . . . . 720--727 Robert A. Lew Bounds on Negative Moments . . . . . . . 728--731 E. W. Larsen and P. F. Zweifel Explicit Matrix Wiener--Hopf Factorizations . . . . . . . . . . . . . 732--738 Giuseppe Longo A Noiseless Coding Theorem for Sources Having Utilities . . . . . . . . . . . . 739--748 Samuel Kohn Investigation of the Stability of $ \frac {d^2y}{dt^2} + w^2 y = \varepsilon \big (\sum_{i = 1}^n b_i \cos 2 a_i t \big) y $ Using Shtokalo's Method . . . 749--767 Wo-shun Luk Some Results Concerning the Boundedness of Solutions of Lienard Equations With Delay . . . . . . . . . . . . . . . . . 768--774
S. H. Zemell High Frequency Cylindrical and Spherical Elastic Waves in a Heterogeneous Half-Space . . . . . . . . . . . . . . . 1--15 A. M. J. Davis and M. J. Hood Surface Waves Normally Incident on a Submerged Horizontal Cylinder . . . . . 16--30 Robert E. Hartwig Singular Value Decomposition and the Moore--Penrose Inverse of Bordered Matrices . . . . . . . . . . . . . . . . 31--41 R. E. Hartwig More on the Souriau-Frame Algorithm and the Drazin Inverse . . . . . . . . . . . 42--46 Richard Haberman Note on Generating Nonlinear Evolution Equations . . . . . . . . . . . . . . . 47--50 J. Michael Harrison Dynamic Scheduling of a Two-Class Queue: Small Interest Rates . . . . . . . . . . 51--61 Melvin D. Lax The Method of Moments for Linear Random Boundary Value Problems . . . . . . . . 62--83 V. Lovass-Nagy and D. L. Powers On Least Squares Solutions of an Inconsistent Singular Equation $ {AX} + {XB} = {C} $ . . . . . . . . . . . . . . 84--88 O. L. Mangasarian Equivalence of the Complementarity Problem to a System of Nonlinear Equations . . . . . . . . . . . . . . . 89--92 J. A. Morrison The Structure of a Utility Function Under Strong Risk Invariance . . . . . . 93--98 John Patrick Lang and George Kimeldorf Silent Duels with Nondiscrete Firing . . 99--110 Bernard D. Coleman and George H. Renninger Periodic Solutions of Certain Nonlinear Integral Equations with a Time Lag . . . 111--120 D. J. Kaup A Perturbation Expansion for the Zakharov--Shabat Inverse Scattering Transform . . . . . . . . . . . . . . . 121--133 Georges A. Becus and F. A. Cozzarelli The random steady state diffusion problem. I. Random generalized solutions to Laplace's equation . . . . . . . . . 134--147 Georges A. Becus and F. A. Cozzarelli The random steady state diffusion problem. II. Random solutions to nonlinear, inhomogeneous, steady state diffusion problems . . . . . . . . . . . 148--158 Georges A. Becus and F. A. Cozzarelli The random steady state diffusion problem. III. Solutions to random diffusion problems by the method of random successive approximations . . . . 159--178 David J. Clements and Brian D. O. Anderson Polynomial Factorization Via the Riccati Equation . . . . . . . . . . . . . . . . 179--205
L. Q. Spielvogel and E. R. Spielvogel Existence of Steady Free Surface Gravity Flows . . . . . . . . . . . . . . . . . 207--232 J. A. Morrison and J. A. Lewis Charge Singularity at the Corner of a Flat Plate . . . . . . . . . . . . . . . 233--250 J. M. Cushing Periodic Solutions of Volterra's Population Equation with Hereditary Effects . . . . . . . . . . . . . . . . 251--261 Philippe Delsarte Properties and Applications of the Recurrence $ F(i + 1, k + 1, n + 1) = q^{k + 1F}(i, k + 1, n) - q^k F(i, k, n) $ . . . . . . . . . . . . . . . . . . . 262--270 Nicos Christofides and Mary Trypia A Sequential Approach to the 0-1 Linear Programming Problem . . . . . . . . . . 271--285 S. C. Chikwendu Asymptotic Solutions of Some Weakly Nonlinear Elliptic Equations . . . . . . 286--303 J. R. Walton A Note on Certain Asymptotic Expressions for the Unit-Step and Dirac Delta Functions . . . . . . . . . . . . . . . 304--306 Abraham Berman and Michael Neumann Proper Splittings of Rectangular Matrices . . . . . . . . . . . . . . . . 307--312 H. S. Witsenhausen Values and Bounds for the Common Information of Two Discrete Random Variables . . . . . . . . . . . . . . . 313--333 Chike Obi Analytical theory of nonlinear oscillations. II. Small periodic oscillations of equations of the second order . . . . . . . . . . . . . . . . . 334--344 Chike Obi Analytical Theory of Nonlinear Oscillations. IV: The Periodic Oscillations of the Equation $ x - \varepsilon (1 - x^{2n + 2})x + x^{2n + 1} = \varepsilon a \cos \omega t $, $ a > 0 $, $ \omega > 0 $ Independent of $ \varepsilon $ . . . . . . . . . . . . . 345--357 A. Charnes and Daniel Granot Coalitional and chance-constrained solutions to $n$-person games. I. The prior satisficing nucleolus . . . . . . 358--367 C. R. Glassey and R. M. Karp On the Optimality of Huffman Trees . . . 368--378 Layne T. Watson Some Perturbation Theorems for $ {Q} $-Matrices . . . . . . . . . . . . . . . 379--384 Lewis Wheeler and Cornelius O. Horgan Isoperimetric Bounds on the Lowest Nonzero Stekloff Eigenvalue for Plane Strip Domains . . . . . . . . . . . . . 385--391 Harry Hochstadt An Inverse Problem for a Hill's Equation 392--396 John S. Maybee Some Aspects of the Theory of $ {PN} $-Matrices . . . . . . . . . . . . . . . 397--410
Stephen L. Campbell and Carl D. Meyer, Jr. and Nicholas J. Rose Applications of the Drazin Inverse to Linear Systems of Differential Equations with Singular Constant Coefficients . . 411--425 Raul Pedro Mentz On the Inverse of Some Covariance Matrices of Toeplitz Type . . . . . . . 426--437 Neil Berger Derivation of Approximate Long Wave Equations in a Nearly Uniform Channel of Approximately Rectangular Cross Section 438--448 A. A. Rayner and R. M. Pringle Some Aspects of the Solution of Singular Normal Equations with the Use of Linear Restrictions . . . . . . . . . . . . . . 449--460 S. C. Tefteller Oscillation of Second Order Nonhomogeneous Linear Differential Equations . . . . . . . . . . . . . . . 461--467 David P. Brown Circuit and Unimodular Matrices . . . . 468--473 Charles Bird Extending the Nucleolus to Infinite Player Games . . . . . . . . . . . . . . 474--484 Joseph B. Keller The Minimum Ratio of Two Eigenvalues . . 485--491 Stephen L. Campbell The Drazin Inverse of an Infinite Matrix 492--503 W. R. Utz Periodic Solutions of Second Order Differential Equations with Nonlinear, Nondifferentiable Damping . . . . . . . 504--510 Henry E. Fettis Fourier Series Expansions for Pearson Type IV Distributions and Probabilities 511--518 B. Kaper Perturbed Nonlinear Oscillations . . . . 519--546 Louis B. Bushard Initial Value Region for a Boundary Value Problem Arising in Gas Glow Discharge Theory . . . . . . . . . . . . 547--557 Stamatis Cambanis The Relationship Between the Detection of Sure and Stochastic Signals in Noise 558--568
P. Warren and J. Foster and N. Bleistein A Stochastic Model of a Nonhomogeneous Carrier-Borne Epidemic . . . . . . . . . 569--578 C. G. Khatri and Sujit Kumar Mitra Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations . . 579--585 B. Frank Hermite Polynomial Solutions of an Infinite Set of Green Function Equations 586--590 A. Belleni-Morante and R. Farano Neutron Transport in a Slab with Moving Boundaries . . . . . . . . . . . . . . . 591--599 Masakazu Kojima and Hisakazu Nishino and Tomoharu Sekine An Extension of Lemke's Method to the Piecewise Linear Complementarity Problem 600--613 Charles Blair Two Rules for Deducing Valid Inequalities for 0-1 Problems . . . . . 614--617 Jay R. Goldman and J. T. Joichi and David L. Reiner and Dennis E. White Rook Theory. II: Boards of Binomial Type 618--633 R. C. Sansing The $t$-Statistic for a Double Exponential Distribution . . . . . . . . 634--645 Uriel G. Rothblum A Representation of the Drazin Inverse and Characterizations of the Index . . . 646--648 C. L. Mallows and V. Pless and N. J. A. Sloane Self-Dual Codes Over GF(3) . . . . . . . 649--666 J. Grasman and E. J. M. Veling and G. M. Willems Relaxation Oscillations Governed by a Van Der Pol Equation with Periodic Forcing Term . . . . . . . . . . . . . . 667--676 John F. Ahner and George C. Hsiao On the Two-Dimensional Exterior Boundary-Value Problems of Elasticity 677--685 O. P. Chandna and P. N. Kaloni Steady Plane Flows of Cosserat Fluids 686--698
H. Katz A Large Time Expansion for the Stefan Problem . . . . . . . . . . . . . . . . 1--20 L. A. Rubenfeld and B. Willner Uniform Asymptotic Solutions for Linear Second Order Ordinary Differential Equations with Turning Points: Formal Theory . . . . . . . . . . . . . . . . . 21--38 R. C. Thompson Singular Values, Diagonal Elements, and Convexity . . . . . . . . . . . . . . . 39--63 H. P. Benson and T. L. Morin The Vector Maximization Problem: Proper Efficiency and Stability . . . . . . . . 64--72 F. C. Hoppensteadt and J. M. Hyman Periodic Solutions of a Logistic Difference Equation . . . . . . . . . . 73--81 J. M. Cushing Periodic Time-Dependent Predator-Prey Systems . . . . . . . . . . . . . . . . 82--95 Catherine A. Macken and Howard M. Taylor On Deviations from the Maximum in a Stochastic Process . . . . . . . . . . . 96--104 Ulla Pursiheimo On the Optimal Search for a Target Whose Motion is Conditionally Deterministic with Stochastic Initial Conditions on Location and Parameters . . . . . . . . 105--114 John H. Rath The Optimal Policy for a Controlled Brownian Motion Process . . . . . . . . 115--125 Markku Lukka On the Optimal Searching Tracks for a Moving Target . . . . . . . . . . . . . 126--132 Jacques Henrard and Kenneth R. Meyer Averaging and Bifurcations in Symmetric Systems . . . . . . . . . . . . . . . . 133--145 William C. Troy Oscillations in a Third Order Differential Equation Modeling a Nuclear Reactor . . . . . . . . . . . . . . . . 146--153 Richard Haberman On the Singular Behavior of Spatially Dependent Nonlinear Wave Envelopes . . . 154--163 C. V. Pao Positive Solutions and Criticality of the Linear and Some Nonlinear Neutron Transport Problems . . . . . . . . . . . 164--176 C. K. Yuen The Auto- and Cross-Correlations of Walsh Functions . . . . . . . . . . . . 177--190 Hans G. Kaper and R. Bruce Kellogg Asymptotic Behavior of the Solution of the Integral Transport Equation in Slab Geometry . . . . . . . . . . . . . . . . 191--200 Hans G. Kaper and R. Bruce Kellogg Continuity and Differentiability Properties of the Solution of the Linear Transport Equation . . . . . . . . . . . 201--214 Thomas A. Lambe Upper Bound on the Number of Nonnegative Integer Solutions to a Linear Equation 215--219 Lee Jones A Note on the Traveling Salesman Problem 220--222 M. T. Boudjelkha and J. B. Diaz Uniform Integral Representation of the Macdonald Function of Positive Integer Order . . . . . . . . . . . . . . . . . 223--231 P. R. Gribik and K. O. Kortanek Equivalence Theorems and Cutting Plane Algorithms for a Class of Experimental Design Problems . . . . . . . . . . . . 232--259 Juan Lin and Peter B. Kahn Limit Cycles in Random Environments . . 260--291
A. S. Whittemore and S. C. Saunders Optimal Inventory Under Stochastic Demand With Two Supply Options . . . . . 293--305 William C. Troy and Richard J. Field The Amplification Before Decay of Perturbations Around Stable States in a Model of the Zhabotinskii Reaction . . . 306--322 P. Gaiha and S. K. Gupta Adjacent Vertices on a Permutohedron . . 323--327 Lilian Shiao-Yen Wu A Dynamic Theory for the Class of Games with Nonempty Cores . . . . . . . . . . 328--338 Bradford R. Crain An Information Theoretic Approach to Approximating a Probability Distribution 339--346 H. L. Abbott and P. F. Dierker Snakes in Powers of Complete Graphs . . 347--355 S. W. Golomb and I. S. Reed and T. K. Truong Integer Convolutions Over the Finite Field $ {GF}(3 \cdot 2^n + 1) $ . . . . 356--365 S. B. Hsu and S. Hubbell and P. Waltman A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms 366--383 Arnie Rosenthal Computing the Reliability of Complex Networks . . . . . . . . . . . . . . . . 384--393 T. J. Mahar and B. J. Matkowsky A Model Biochemical Reaction Exhibiting Secondary Bifurcation . . . . . . . . . 394--404 Charles B. Sharpe An Inverse Problem Associated with the Discrete Schrödinger Equation . . . . . . 405--417 S. Goodman and D. Shier On Designing a Reliable Hierarchical Structure . . . . . . . . . . . . . . . 418--430 Gopal Danaraj and Victor Klee The Connectedness Game and the $c$-Complexity of Certain Graphs . . . . 431--442 Tom Brylawski A Determinantal Identity for Resistive Networks . . . . . . . . . . . . . . . . 443--449 K. Truemper On Max Flows with Gains and Pure Min-Cost Flows . . . . . . . . . . . . . 450--456 David M. Kreps and Evan L. Porteus On the Optimality of Structured Policies in Countable Stage Decision Processes. II: Positive and Negative Problems . . . 457--466 W. J. Padgett and G. Schultz and Chris P. Tsokos A Random Differential Equation Approach to the Probability Distribution of BOD and DO in Streams . . . . . . . . . . . 467--483 K. E. Swick A Nonlinear Age-Dependent Model of Single Species Population Dynamics . . . 484--498 Ulf Grenander and Jack W. Silverstein Spectral Analysis of Networks With Random Topologies . . . . . . . . . . . 499--519 Shmuel Gal and Dan Chazan Errata: ``On the Optimality of the Exponential Functions for Some Minimax Problems'' [SIAM J. Appl. Math. \bf 30 (1976), no. 2, 324--348] . . . . . . . . 520--520
Werner Kohler Power Reflection at the Input of a Randomly Perturbed Rectangular Waveguide 521--533 Harold Brown Molecular Structure Elucidation. III . . 534--551 J. H. Van Schuppen Filtering, Prediction and Smoothing for Counting Process Observations, a Martingale Approach . . . . . . . . . . 552--570 Charles D. Pack The Output of a $ D / M / 1 $ Queue . . 571--587 J. Grasman and B. J. Matkowsky A Variational Approach to Singularly Perturbed Boundary Value Problems for Ordinary and Partial Differential Equations with Turning Points . . . . . 588--597 E. F. Schmeichel and S. L. Hakimi On Planar Graphical Degree Sequences . . 598--609 L. J. Lardy Some Iterative Methods for Linear Operator Equations with Applications to Generalized Inverses . . . . . . . . . . 610--618 D. J. Kleitman and M. Koren and S.-Y. R. Li On the Existence of Simultaneous Edge Disjoint Realizations of Degree Sequences with ``Few'' Edges . . . . . . 619--626 Bezalel Peleg and Itzhak Zilcha On Competitive Prices for Optimal Consumptions Plans, II . . . . . . . . . 627--630 H. I. Freedman and Paul Waltman Mathematical Models of Population Interactions with Dispersal. I: Stability of Two Habitats with an Without a Predator . . . . . . . . . . . 631--648 Saleem A. Kassam and John B. Thomas Nonparametric Weighted-Signs Tests for Location . . . . . . . . . . . . . . . . 649--652 Lee A. Segel A Theoretical Study of Receptor Mechanisms in Bacterial Chemotaxis . . . 653--665 Benjamin S. White The Effects of a Rapidly-Fluctuating Random Environment on Systems of Interacting Species . . . . . . . . . . 666--693 W. D. Lakin and P. Van Den Driessche Time Scales in Population Biology . . . 694--705 J. W. Moon Erratum: ``On the Distribution of Crossings in Random Complete Graphs'' [J. SIAM \bf 13 (1965), no. 2, 506--510] 706--706
Harley Flanders and Harald K. Wimmer On the Matrix Equations $ {AX} - {XB} = {C} $ and $ {AX} - {YB} = {C} $ . . . . 707--710 Peter L. Hammer and Ellis L. Johnson and Uri N. Peled The Role of Master Polytopes in the Unit Cube . . . . . . . . . . . . . . . . . . 711--716 Kenneth B. Stolarsky Power and Exponential Sums of Digital Sums Related to Binomial Coefficient Parity . . . . . . . . . . . . . . . . . 717--730 Alan J. Lee Approximate Interpolation and the Sampling Theorem . . . . . . . . . . . . 731--744 A. G. Pakes and T. P. Speed Lagrange Distributions and their Limit Theorems . . . . . . . . . . . . . . . . 745--754 James T. Jenkins The Equations of Mechanical Equilibrium of a Model Membrane . . . . . . . . . . 755--764 Robert L. Bowden and William Greenberg and P. F. Zweifel Critical Multigroup Transport . . . . . 765--777 Keith Gladstien Haploid Populations Subject to Varying Environment: The Characteristic Values and the Rate of Loss of Alleles . . . . 778--783 Jack K. Cohen and Norman Bleistein An Inverse Method for Determining Small Variations in Propagation Speed . . . . 784--799 Melvin Hinich Array Design for Measuring Source Depth in a Horizontal Waveguide . . . . . . . 800--806 Jerrold R. Griggs Sufficient Conditions for a Symmetric Chain Order . . . . . . . . . . . . . . 807--809 Brian Conolly and I. J. Good A Table of Discrete Fourier Transform Pairs . . . . . . . . . . . . . . . . . 810--822 Sujit Kumar Mitra The Matrix Equation $ {AXB} + {CXD} = {E} $ . . . . . . . . . . . . . . . . . 823--825 M. R. Garey and D. S. Johnson The Rectilinear Steiner Tree Problem is $ {NP} $-Complete . . . . . . . . . . . 826--834 M. R. Garey and R. L. Graham and D. S. Johnson The Complexity of Computing Steiner Minimal Trees . . . . . . . . . . . . . 835--859 Da-Lun Wang and Ping Wang Discrete Isoperimetric Problems . . . . 860--870 L. A. Rubenfeld and W. L. Siegmann Nonlinear Dynamic Theory for a Double-Diffusive Convection Model . . . 871--894 J. M. Cushing Errata: ``Periodic Solutions of Volterra's Population Equation with Hereditary Effects'' [SIAM J. Appl. Math. \bf 31 (1976), no. 2, 251--261] 895--895
Carl D. Meyer, Jr. and Nicholas J. Rose The Index and the Drazin Inverse of Block Triangular Matrices . . . . . . . 1--7 G. Pechuzal and J. Kevorkian Supersonic-Transonic Flow Generated by a Thin Airfoil in a Stratified Atmosphere 8--33 James F. Ward, Jr. On a Limit Formula for Weighted Pseudoinverses . . . . . . . . . . . . . 34--38 Ronald Smith Propagation in Slowly-Varying Wave-Guides . . . . . . . . . . . . . . 39--50 George Tourlakis Homological Methods for the Classification of Discrete Euclidean Structures . . . . . . . . . . . . . . . 51--54 Da-Lun Wang and Ping Wang Extremal Configurations on a Discrete Torus and a Generalization of the Generalized Macaulay Theorem . . . . . . 55--59 J. Bazer Multiple Scattering in One Dimension. II 60--94 Shun-Ichi Amari and Kiyonori Yoshida and Ken-Ichi Kanatani A Mathematical Foundation for Statistical Neurodynamics . . . . . . . 95--126 J. A. Morrison Charge Singularity at the Vertex of a Slender Cone of General Cross-Section 127--132 Alan C. Newell Finite Amplitude Instabilities of Partial Difference Equations . . . . . . 133--160 Peter J. Melvin On the construction of Poincaré--Lindstedt solutions: the nonlinear oscillator equation . . . . . 161--194
G. Palm and T. Poggio The Volterra Representation and the Wiener Expansion: Validity and Pitfalls 195--216 Donald S. Cohen and Frank C. Hoppensteadt and Robert M. Miura Slowly Modulated Oscillations in Nonlinear Diffusion Processes . . . . . 217--229 Bernard J. Matkowsky and Edward L. Reiss Singular Perturbations of Bifurcations 230--255 Marc Mangel and Donald Ludwig Probability of Extinction in a Stochastic Competition . . . . . . . . . 256--266 Joel N. Franklin Some Stereological Principles in Morphometric Cytology . . . . . . . . . 267--278 Ch. A. Charalambides A New Kind of Numbers Appearing in the $n$-Fold Convolution of Truncated Binomial and Negative Binomial Distributions . . . . . . . . . . . . . 279--288 A. C. Fowler Convective Diffusion of an Enzyme Reaction . . . . . . . . . . . . . . . . 289--297 George H. Pimbley, Jr. Superlinear Hammerstein Operators and the Nonoccurrence of Secondary Bifurcation . . . . . . . . . . . . . . 298--322 W. R. Bauer and W. A. Blankinship A Fast Algorithm for Certain Dynamic Programming Minimizations . . . . . . . 323--336 Daniel D. Joseph The Convergence of Biorthogonal Series for Biharmonic and Stokes Flow Edge Problems. Part I . . . . . . . . . . . . 337--347 James H. Bigelow and Norman Z. Shapiro A Scaling Theorem and Algorithms . . . . 348--352 Richard G. Casten and Charles J. Holland Stability Properties of Solutions to Systems of Reaction-Diffusion Equations 353--364 B. J. Matkowsky and Z. Schuss The Exit Problem for Randomly Perturbed Dynamical Systems . . . . . . . . . . . 365--382
Giorgio Picci Some Connections Between the Theory of Sufficient Statistics and the Identifiability Problem . . . . . . . . 383--398 Alfred Carasso and Mei-Chang Shen On Viscous Fluid Flow Down an Inclined Plane and the Development of Roll Waves 399--426 Edward W. Larsen Asymptotic Theory of the Linear Transport Equation for Small Mean Free Paths. II . . . . . . . . . . . . . . . 427--445 L. E. Payne and G. A. Philippin Some Applications of the Maximum Principle in the Problem of Torsional Creep . . . . . . . . . . . . . . . . . 446--455 Lawrence D. Stone Search for Targets with Generalized Conditionally Deterministic Motion . . . 456--468 Peter C. Fishburn Condorcet Social Choice Functions . . . 469--489 D. A. Swick Harmonic Relationships Among Random Variables . . . . . . . . . . . . . . . 490--498 Anthony Zeppetella Analysis of the Adapting Bump Model of the Horseshoe Crab Eye . . . . . . . . . 499--510 Gabor T. Herman and Abraham Naparstek Fast Image Reconstruction Based on a Radon Inversion Formula Appropriate for Rapidly Collected Data . . . . . . . . . 511--533 Brian Conolly and I. J. Good Errata: ``A Table of Discrete Fourier Transform Pairs'' [SIAM J. Appl. Math. \bf 32 (1977), no. 4, 810--822] . . . . 534--534
D. H. Griffel and C. A. N. Morris An Initial-Value Problem for Waves Over a Sloping Beach . . . . . . . . . . . . 535--541 Bradley D. Carter and Melvin D. Springer The Distribution of Products, Quotients and Powers of Independent $ {H} $-Function Variates . . . . . . . . . . 542--558 Robert M. Gray and Lee D. Davisson Second Order Moments and Prediction for Doubly-Reflected Symmetric Independent Increment Processes . . . . . . . . . . 559--567 J. V. Petty A Containment Algorithm for Point Sets Determined by Polygonal Paths . . . . . 568--574 Asha S. Kapadia and Bartholomew P. Hsi and Harvey Diamond Renewal Processes with Restriction on Success Runs . . . . . . . . . . . . . . 575--580 Lawrence E. Levine and Wilson C. Obi Multivariable Expansions Using Time Scales Generated from Differential Equations . . . . . . . . . . . . . . . 581--586 S. W. Golomb and A. Lempel Second Order Polynomial Recursions . . . 587--592 Abraham Ziv and Vardy Amdursky On the Numerical Solution of Stiff Linear Systems of the Oscillatory Type 593--606 M. L. Balinski and H. P. Young On Huntington Methods of Apportionment 607--618 A. H. Zemanian Proportioning Networks: A Model for a Two-Level Marketing System in an Underdeveloped Economy . . . . . . . . . 619--639 J. M. Cushing Bifurcation of Periodic Solutions of Integrodifferential Systems with Applications to Time Delay Models in Population Dynamics . . . . . . . . . . 640--654 Robert R. Bitmead and Brian D. O. Anderson The Matrix Cauchy Index: Properties and Applications . . . . . . . . . . . . . . 655--672 Edward D. Conway and Joel A. Smoller Diffusion and the Predator-Prey Interaction . . . . . . . . . . . . . . 673--686
Lee Jones On the Distribution of Sums of Vectors 1--6 Daniel D. Joseph and Leroy Sturges The Convergence of Biorthogonal Series for Biharmonic and Stokes Flow Edge Problems: Part II . . . . . . . . . . . 7--26 F. R. K. Chung and F. K. Hwang A Lower Bound for the Steiner Tree Problem . . . . . . . . . . . . . . . . 27--36 David J. Kaup and Alan C. Newell The Goursat and Cauchy Problems for the Sine-Gordon Equation . . . . . . . . . . 37--54 M. F. Janowitz An Order Theoretic Model for Cluster Analysis . . . . . . . . . . . . . . . . 55--72 Chandan K. Mustafi On the Asymptotic Distribution of the Estimates of the Derivatives of a Distribution Function . . . . . . . . . 73--77 J. Bazer and R. Burridge Energy Partition in the Reflection and Refraction of Plane Waves . . . . . . . 78--92 D. A. Larson Transient Bounds and Time-Asymptotic Behavior of Solutions to Nonlinear Equations of Fisher Type . . . . . . . . 93--103 F. E. Udwadia and D. K. Sharma Some Uniqueness Results Related to Building Structural Identification . . . 104--118 Egon Balas and Eitan Zemel Facets of the Knapsack Polytope from Minimal Covers . . . . . . . . . . . . . 119--148 Arnold D. Kerr A New Iterative Scheme for the Solution of Partial Differential Equations Based on the Principle of Least Squares . . . 149--156 Ph. Delsarte Hahn Polynomials, Discrete Harmonics, and $t$-Designs . . . . . . . . . . . . 157--166 Yieh-Hei Wan Computation of the Stability Condition for the Hopf Bifurcation of Difeomorphisms on $ \mathbb {R}^2 $ . . 167--175 Donald J. Rose and Robert Endre Tarjan Algorithmic Aspects of Vertex Elimination on Directed Graphs . . . . . 176--197 R. S. Taylor Note on a Paper by J. A. Morrison and J. A. Lewis: ``Charge Singularity at the Corner of a Flat Plate'' [SIAM J. Appl. Math. \bf 31 (1976), no. 2, 233--250, MR \bf 54 #4348] . . . . . . . . . . . . . 198--199 Gregory A. Kriegsmann and Edward W. Larsen On the Parabolic Approximation to the Reduced Wave Equation . . . . . . . . . 200--204 Shmuel Gal A Stochastic Search Game . . . . . . . . 205--210
Roger Hartley On Cone-Efficiency, Cone-Convexity and Cone-Compactness . . . . . . . . . . . . 211--222 Ali-Amidi A Note on the Moments of the Generalized Negative Binomial Distribution and on Certain Properties of This Distribution 223--224 To-Yat Cheung and Jiri Soukup A Note on Minimum Cost Networks with Nonlinear Costs . . . . . . . . . . . . 225--226 S. Leigh Phoenix The Asymptotic Time to Failure of a Mechanical System of Parallel Members 227--246 Jung Y. Yoo and Daniel D. Joseph Stokes Flow in a Trench Between Concentric Cylinders . . . . . . . . . . 247--285 C. H. Liu and Daniel D. Joseph Stokes Flow in Conical Trenches . . . . 286--296 L. M. Keer and K. S. Parihar A Note on the Singularity at the Corner of a Wedge-Shaped Punch or Crack . . . . 297--302 P. B. Chapman and J. J. Mahony Reflection of Waves in a Slowly Varying Medium . . . . . . . . . . . . . . . . . 303--319 L. M. Kelly and L. T. Watson Erratum: ``Some Perturbation Theorems for $Q$-Matrices'' [SIAM J. Appl. Math. 31 (1976), no. 2, 379--384] . . . . . . 320--321 John Tavantzis and Edward L. Reiss and Bernard J. Matkowsky On the Smooth Transition to Convection 322--337 C. V. Pao Bounds for the Critical Length of a Slab with Finite Reflectors in Neutron Transport . . . . . . . . . . . . . . . 338--347 James Geer The Scattering of a Scalar Wave by a Slender Body of Revolution . . . . . . . 348--370 F. K. Hwang A Note on Hypergeometric Group Testing Procedures . . . . . . . . . . . . . . . 371--375 Samuel Merrill, III Citizen Voting Power Under the Electoral College: A Stochastic Model Based on State Voting Patterns . . . . . . . . . 376--390 J. M. Greenberg Axi-Symmetric, Time-Periodic Solutions of Reaction-Diffusion Equations . . . . 391--397 N. C. Albertsen and P. L. Christiansen Hybrid Diffraction Coefficients for First and Second Order Discontinuities of Two-Dimensional Scatterers . . . . . 398--414
Avraham Feintuch Strictly Cyclic Linear Systems . . . . . 415--422 Ioannis M. Besieris and Werner E. Kohler Underwater Sound Wave Propagation in the Presence of a Randomly Perturbed Sound Speed Profile. Part I . . . . . . . . . 423--436 G. Blankenship and G. C. Papanicolaou Stability and Control of Stochastic Systems with Wide-Band Noise Disturbances. I . . . . . . . . . . . . 437--476 M. R. Garey and R. L. Graham and D. S. Johnson and D. E. Knuth Complexity Results for Bandwidth Minimization . . . . . . . . . . . . . . 477--495 P. G. L. Leach On a Generalization of the Lewis Invariant for the Time-Dependent Harmonic Oscillator . . . . . . . . . . 496--503 Lu Ting Periodic Solutions of Nonlinear Wave Equations in $n$-Dimensional Space . . . 504--514 J. M. Greenberg and S. P. Hastings Spatial Patterns for Discrete Models of Diffusion in Excitable Media . . . . . . 515--523 G. Palm and T. Poggio Stochastic Identification Methods for Nonlinear Systems: An Extension of the Wiener Theory . . . . . . . . . . . . . 524--534 Francis M. Skalak and Chang-Yi Wang On the Nonunique Solutions of Laminar Flow Through a Porous Tube or Channel 535--544 Jagbir Singh A Characterization of Positive Poisson Distribution and its Statistical Application . . . . . . . . . . . . . . 545--548 Charles Tier and Joseph B. Keller Asymptotic Analysis of Diffusion Equations in Population Genetics . . . . 549--576 Hans Birger Drange On the Boltzmann Equation with External Forces . . . . . . . . . . . . . . . . . 577--592 Larry E. Druffel and Douglas C. Schmidt and Da-Lun Wang A Generator Set for Representing All Automorphisms of a Graph . . . . . . . . 593--596 A. H. Zemanian The Balanced States of a Proportioning Network . . . . . . . . . . . . . . . . 597--610
Robert J. McEliece and James B. Shearer A Property of Euclid's Algorithm and an Application to Padé Approximation . . . . 611--615 Ph. Delsarte and Ph. Piret Automorphism Groups of Convolutional Codes . . . . . . . . . . . . . . . . . 616--629 Keith Gladstien The Characteristic Values and Vectors for a Class of Stochastic Matrices Arising in Genetics . . . . . . . . . . 630--642 A. Parthasarathy and R. M. Evan-Iwanowski On the Almost Sure Stability of Linear Stochastic Systems . . . . . . . . . . . 643--656 F. T. Boesch and S. Chen A Generalization of Line Connectivity and Optimally Invulnerable Graphs . . . 657--665 M. Profant and K. Vyska and U. Eckhardt The Stewart--Hamilton Equations and the Indicator Dilution Method . . . . . . . 666--675 Harry Hochstadt and Burton Lieberman An Inverse Sturm--Liouville Problem with Mixed Given Data . . . . . . . . . . . . 676--680 Rudy A. Gideon and John Gurland A Polynomial Type Approximation for Bivariate Normal Variates . . . . . . . 681--684 Jürgen Herzberger Note on a Bounding Technique for Polynomial Functions . . . . . . . . . . 685--686 D. J. Allwright Hypergraphic Functions and Bifurcations in Recurrence Relations . . . . . . . . 687--691 W. J. Padgett and C. P. Tsokos On Bayes Estimation of Reliability for Mixtures of Life Distributions . . . . . 692--703 Lakshman S. Thakur Error Analysis for Convex Separable Programs: The Piecewise Linear Approximation and the Bounds on the Optimal Objective Value . . . . . . . . 704--714 John Karlof and Charles Downey Odd Group Codes for the Gaussian Channel 715--716 Herman Chernoff and Albert John Petkau Optimal Control of a Brownian Motion . . 717--731 Richard J. Clasen and David Garfinkel and Norman Z. Shapiro and Gruia-Catalin Roman A Method for Solving Certain Stiff Differential Equations . . . . . . . . . 732--742 K. A. Landman and S. Rosenblat Bifurcation from a Multiple Eigenvalue and Stability of Solutions . . . . . . . 743--759 S. B. Hsu Limiting Behavior for Competing Species 760--763 D. L. Clements and C. Rogers On the Bergman Operator Method and Anti-Plane Contact Problems Involving an Inhomogeneous Half-Space . . . . . . . . 764--773 J. J. Shepherd On the Asymptotic Solution of the Reynolds Equation . . . . . . . . . . . 774--791 Michael J. Todd Optimal Dissection of Simplices . . . . 792--803 A. D. MacGillivray On a Model Equation of Lagerstrom . . . 804--812
Edward Conway and David Hoff and Joel Smoller Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations . . . . . . . . . . . . . . . 1--16 Barthel W. Huff Some Comments on Mixtures and Infinite Divisibility . . . . . . . . . . . . . . 17--20 R. J. Duffin and T. D. Morley Almost Definite Operators and Electro-Mechanical Systems . . . . . . . 21--30 T. T. Kadota Sequential Operation of Communication Channels and the Capacity Using Variable-Length Codes . . . . . . . . . 31--47 G. C. Taylor Stability in Recurrence Systems Whose Recurrence Relations Possess a Certain Positivity Property . . . . . . . . . . 48--67 Ruth Nussinov and George Pieczenik and Jerrold R. Griggs and Daniel J. Kleitman Algorithms for Loop Matchings . . . . . 68--82 Dennis D. Berkey and Marvin I. Freedman and Barry Granoff Bifurcation Analysis in Systems with Switch-Type Coefficients . . . . . . . . 83--96 C. O. Horgan and L. T. Wheeler Spatial Decay Estimates for the Navier--Stokes Equations with Application to the Problem of Entry Flow 97--116 Barry C. Arnold Some Elementary Variations of the Lyapunov Inequality . . . . . . . . . . 117--118 D. J. Hartfiel The Effect of $ {D} $ on the Maximum Eigenvalue of $ {DA} $ Where $ {A} $ is an $ \mathrm {ML} $-Matrix . . . . . . . 119--122 Angelika Worz-Busekros Global Stability in Ecological Systems with Continuous Time Delay . . . . . . . 123--134 D. G. Wilson Existence and Uniqueness for Similarity Solutions of One Dimensional Multi-Phase Stefan Problems . . . . . . . . . . . . 135--147 A. J. Callegari and L. Ting Motion of a Curved Vortex Filament with Decaying Vortical Core and Axial Velocity . . . . . . . . . . . . . . . . 148--175 J. J. Shepherd Asymptotic Solution of a Nonlinear Singular Perturbation Problem . . . . . 176--186 D. S. Cohen and A. Fokas and P. A. Lagerstrom Proof of Some Asymptotic Results for a Model Equation for Low Reynolds Number Flow . . . . . . . . . . . . . . . . . . 187--207
L. Pamela Cook and Julian D. Cole Lifting Line Theory for Transonic Flow 209--228 Arnold Barnett and Daniel J. Kleitman On Two-Terminal Control of a Shuttle Service . . . . . . . . . . . . . . . . 229--234 Pao-Liu Chow Probabilistic Model for the Reflection of Waves from a Rough Surface . . . . . 235--248 Robert Lugannani Sample Function Regularity of Shot Processes . . . . . . . . . . . . . . . 249--259 David Singer Stable Orbits and Bifurcation of Maps of the Interval . . . . . . . . . . . . . . 260--267 F. Alberto Grünbaum An Inverse Eigenvalue Problem for Random Matrices . . . . . . . . . . . . . . . . 268--273 Vincenzo Capasso Global Solution for a Diffusive Nonlinear Deterministic Epidemic Model 274--284 H. P. Young and A. Levenglick A Consistent Extension of Condorcet's Election Principle . . . . . . . . . . . 285--300 A. K. Gautesen and J. D. Achenbach On the Existence of Surface Waves Guided by a Slit . . . . . . . . . . . . . . . 301--306 Donald S. Cohen and Bernard J. Matkowsky On Inhibiting Runaway in Catalytic Reactors . . . . . . . . . . . . . . . . 307--314 Guillermo Owen Characterization of the Banzhaf--Coleman Index . . . . . . . . . . . . . . . . . 315--327 Klaus Truemper Algebraic Characterizations of Unimodular Matrices . . . . . . . . . . 328--332 Michael Willett Factoring Polynomials Over a Finite Field . . . . . . . . . . . . . . . . . 333--337 Benjamin Rulf Bounds for the Lowest Mode in General Open Waveguides . . . . . . . . . . . . 338--342 Bertil Gustafsson and Arne Sundstrom Incompletely Parabolic Problems in Fluid Dynamics . . . . . . . . . . . . . . . . 343--357 N. C. Mohanty On Generation of an Isotropic Field . . 358--361 B. Charles Peters, Jr. and Homer F. Walker An Iterative Procedure for Obtaining Maximum-Likelihood Estimates of the Parameters for a Mixture of Normal Distributions . . . . . . . . . . . . . 362--378 J. Bazer and F. Karal Multiple Scattering in One Dimension. III . . . . . . . . . . . . . . . . . . 379--400 L. J. Guibas and A. M. Odlyzko Maximal Prefix-Synchronized Codes . . . 401--418
Joseph Oliger and Arne Sundstrom Theoretical and Practical Aspects of Some Initial Boundary Value Problems in Fluid Dynamics . . . . . . . . . . . . . 419--446 B. Charles Peters, Jr. and Homer F. Walker The Numerical Evaluation of the Maximum-Likelihood Estimate of a Subset of Mixture Proportions . . . . . . . . . 447--452 E. V. Krishnamurthy Exact Inversion of a Rational Polynomial Matrix Using Finite Field Transforms . . 453--464 B. J. Matkowsky and G. I. Sivashinsky Propagation of a Pulsating Reaction Front in Solid Fuel Combustion . . . . . 465--478 Jaime Milstein Error Estimates for Rate Constants of Inverse Problems . . . . . . . . . . . . 479--487 Peter C. Fishburn A Strategic Analysis of Nonranked Voting Systems . . . . . . . . . . . . . . . . 488--495 A. H. Zemanian The Steady and Oscillating States of a Proportioning Network . . . . . . . . . 496--507 Louis Bauer and Edward L. Reiss Cutoff Wavenumbers and Modes of Hexagonal Waveguides . . . . . . . . . . 508--514 J. K. Baksalary and R. Kala Relationships between some representations of the best linear unbiased estimator in the general Gauss-Markoff model . . . . . . . . . . 515--520 Charles Tier and Joseph B. Keller A Tri-Allelic Diffusion Model with Selection . . . . . . . . . . . . . . . 521--535 Donald S. Cohen and John C. Neu and Rodolfo R. Rosales Rotating Spiral Wave Solutions of Reaction-Diffusion Equations . . . . . . 536--547 W. E. Olmstead and W. E. Schmitendorf Optimal Blowing . . . . . . . . . . . . 548--563 A. Stokes Comparison Theorems and Instability with Applications to Numerical Integration, Satellite Orbits and Averaging . . . . . 564--574 Erich Zauderer Asymptotic Decomposition of Partial Differential Equations . . . . . . . . . 575--592 Gabriella Di Blasio and Lamberto Lamberti An Initial-Boundary Value Problem for Age-Dependent Population Diffusion . . . 593--615 William C. Troy Errata: ``Oscillations in a Third-Order Differential Equation Modeling a Nuclear Reactor'' [SIAM J. Appl. Math. \bf 32 (1977), no. 1, 146--153] . . . . . . . . 616--616
S. B. Hsu and S. P. Hubbell and Paul Waltman Competing Predators . . . . . . . . . . 617--625 David Nott Definite Integrals of Generalized Functions . . . . . . . . . . . . . . . 626--636 R. S. Singh Nonparametric Estimation of Derivatives of Average of $ \mu $-Densities with Convergence Rates and Applications . . . 637--649 Alan C. Newell Long Waves --- Short Waves; A Solvable Model . . . . . . . . . . . . . . . . . 650--664 P. L. Chow and L. Maestrello Stochastic Inverse Problem in the Radiation of Noise . . . . . . . . . . . 665--677 Jonathan Bell and L. Pamela Cook On the Solutions of a Nerve Conduction Equation . . . . . . . . . . . . . . . . 678--688 N. Metropolis and Gian-Carlo Rota Combinatorial Structure of the Faces of the $n$-Cube . . . . . . . . . . . . . . 689--694 Ivar Heuch Genetic Algebras Considered as Elements in a Vector Space . . . . . . . . . . . 695--703 Stavros Busenberg and Kenneth L. Cooke Periodic Solutions of a Periodic Nonlinear Delay Differential Equation 704--721 Yves Balasko Connectedness of the Set of Stable Equilibria . . . . . . . . . . . . . . . 722--728 Brian R. Seymour and Michael P. Mortell Second Order Hyperbolic Equations with Small Nonlinearities . . . . . . . . . . 729--737 L. Lewin and J. Kevorkian On the Problem of Sustained Resonance 738--754 Bruce L. Clarke Asymptotes and Intercepts of Real-Power Polynomial Surfaces from the Geometry of the Exponent Polytope . . . . . . . . . 755--786 Siegfried H. Lehnigk Conservative Solutions of One-Dimensional Nonlinear Distribution Processes with Drift . . . . . . . . . . 787--802
Jeffrey R. Weeks and Kenneth P. Bogart Consensus Signed Digraphs . . . . . . . 1--14 J. M. Yohe A Sufficient Condition for Realizability of Constrained Graphs . . . . . . . . . 15--25 Edward W. Larsen Two Types of Homogenization . . . . . . 26--33 Ph. Delsarte and Y. Genin and Y. Kamp Schur Parametrization of Positive Definite Block-Toeplitz Systems . . . . 34--46 Ph. Delsarte and Y. Genin and Y. Kamp The Nevanlinna--Pick Problem for Matrix-Valued Functions . . . . . . . . 47--61 J. H. van Lint and F. J. MacWilliams and N. J. A. Sloane On Pseudo-Random Arrays . . . . . . . . 62--72 James Ting Ho Lo and Linda R. Eshleman Exponential Fourier Densities on $ {\rm SO}(3) $ and Optimal Estimation and Detection for Rotational Processes . . . 73--82 T. E. S. Raghavan Some Remarks on Matrix Games and Nonnegative Matrices . . . . . . . . . . 83--85 Stuart Geman Some Averaging and Stability Results for Random Differential Equations . . . . . 86--105 A. D. MacGillivray The Existence of an Overlap Domain for a Singular Perturbation Problem . . . . . 106--114 A. Dubi and Y. S. Horowitz The Interpretation of Conditional Monte Carlo as a Form of Importance Sampling 115--122 John B. Urenko Improbability of Collisions in Newtonian Gravitational Systems of Specified Angular Momentum . . . . . . . . . . . . 123--136 David R. Dellwo and Morton B. Friedman Uniform Asymptotic Solutions for a Differential Equation with an Almost Periodic Coefficient . . . . . . . . . . 137--147 Wendell H. Fleming Equilibrium Distributions of Continuous Polygenic Traits . . . . . . . . . . . . 148--168 Joel E. Cohen The Cumulative Distance from an Observed to a Stable Age Structure . . . . . . . 169--175
Richard J. Lipton and Robert Endre Tarjan A Separator Theorem for Planar Graphs 177--189 Tuncer Cebeci and Keith Stewartson and Peter G. Williams On the Response of a Stagnation Boundary Layer to a Change in the External Velocity . . . . . . . . . . . . . . . . 190--199 Juhani Pitkäranta Asymptotic Behavior of the Solution of the Integral Transport Equation in the Vicinity of a Curved Material Interface 200--218 James F. Selgrade Mathematical Analysis of a Cellular Control Process With Positive Feedback 219--229 H. L. Wilson and W. H. Scott, Jr. and G. C. Pomraning Neutron Transport in Moving Media . . . 230--262 Gregory A. Kriegsmann and Michael Williams On the Tracing of Light Rays Through Deformed Glass Rods with Radially Graded Refractive Indices . . . . . . . . . . . 263--272 Ch. A. Charalambides Some Properties and Applications of the Differences of the Generalized Factorials . . . . . . . . . . . . . . . 273--280 Anthony Leung Conditions for Global Stability Concerning a Prey-Predator Model with Delay Effects . . . . . . . . . . . . . 281--286 Martin Eisenberg Two Queues with Alternating Service . . 287--303 Ru Ying Lee and Burt S. Holland and John A. Flueck Distribution of a Ratio of Correlated Gamma Random Variables . . . . . . . . . 304--320 Wayne M. Getz Invariant Structures in a System of Competitive Logistic Ordinary Differential Equations . . . . . . . . . 321--333 Gail A. Carpenter Bursting Phenomena in Excitable Membranes . . . . . . . . . . . . . . . 334--372 A. K. Kapila and B. J. Matkowsky Reactive-Diffuse Systems with Arrhenius Kinetics: Multiple Solutions, Ignition and Extinction . . . . . . . . . . . . . 373--389 Werner E. Kohler The Rapid Reaction of Two Chemical Species in the Presence of Weak Random Advection and Molecular Diffusion . . . 390--405 Vincenzo Capasso Erratum: ``Global Solution for a Diffusive Nonlinear Deterministic Epidemic Model'' [SIAM J. Appl. Math. \bf 35 (1978), no. 2, 274--284] . . . . 406--406
Giuseppe Bertin and James W.-K. Mark Local Density-Potential Relation for Spiral Density Waves in Galaxies . . . . 407--420 F. Nakajima Periodic Time Dependent Gross-Substitute Systems . . . . . . . . . . . . . . . . 421--427 M. J. Ablowitz and M. D. Kruskal and J. F. Ladik Solitary Wave Collisions . . . . . . . . 428--437 James G. Taylor Prediction of Zero Points of Solutions to Lanchester-Type Differential Combat Equations for Modern Warfare . . . . . . 438--456 K. A. Robbins Periodic Solutions and Bifurcation Structure at High $ {R} $ in the Lorenz Model . . . . . . . . . . . . . . . . . 457--472 Ethan D. Bolker and Henry Crapo Bracing Rectangular Frameworks. I . . . 473--490 Ethan D. Bolker Bracing Rectangular Frameworks. II . . . 491--508 John C. Neu Chemical Waves and the Diffussive [sic] Coupling of Limit Cycle Oscillators . . 509--515 J. Coste and J. Peyraud and P. Coullet Asymptotic Behaviors in the Dynamics of Competing Species . . . . . . . . . . . 516--543 Marc Mangel Small Fluctuations in Systems with Multiple Steady States . . . . . . . . . 544--572 S. N. Brown and K. Stewartson On Finite Amplitude Bénard Convection in a Cylindrical Container. Part II . . . . 573--586 A. Liñán and F. A. Williams Ignition of a Reactive Solid Exposed to a Step in Surface Temperature . . . . . 587--603 Zeev Schuss and Bernard J. Matkowsky The Exit Problem: A New Approach to Diffusion Across Potential Barriers . . 604--623 D. R. Kassoy The response of a confined gas to a thermal disturbance. I. Slow transients 624--634
S. Rosenblat and Stephen H. Davis Bifurcation from Infinity . . . . . . . 1--19 J. K. Baksalary and R. Kala Covariance Adjustment When a Vector of Parameters is Restricted to a Given Subspace . . . . . . . . . . . . . . . . 20--21 W. F. Langford Periodic and Steady-State Mode Interactions Lead to Tori . . . . . . . 22--48 P. Schuster and K. Sigmund and R. Wolff On $ \omega $-limits for competition between three species . . . . . . . . . 49--54 Dennis D. Berkey and Marvin I. Freedman Buckled Elastica at Contact: A Perturbation Analysis . . . . . . . . . 55--68 Richard Haberman Slowly Varying Jump and Transition Phenomena Associated with Algebraic Bifurcation Problems . . . . . . . . . . 69--106 Moshe Matalon and G. S. S. Ludford The Asymptotic Derivation of Isola and $ {S} $ Responses for Chambered Diffusion Flames . . . . . . . . . . . . . . . . . 107--123 F. K. Hwang Generalized Huffman Trees . . . . . . . 124--127 James Flynn Steady State Policies for Deterministic Dynamic Programs . . . . . . . . . . . . 128--147 M. F. Janowitz Monotone Equivariant Cluster Methods . . 148--165 Donald Ludwig Optimal harvesting of a randomly fluctuating resource. I. Application of perturbation methods . . . . . . . . . . 166--184 Donald Ludwig and James M. Varah Optimal harvesting of a randomly fluctuating resource. II. Numerical methods and results . . . . . . . . . . 185--205 Benjamin S. White and Samuel Ellias A Stochastic Model for Neuronal Spike Generation . . . . . . . . . . . . . . . 206--233
Jack W. Silverstein On the Randomness of Eigenvectors Generated from Networks with Random Topologies . . . . . . . . . . . . . . . 235--245 T. C. Hu and Daniel J. Kleitman and Jeanne K. Tamaki Binary Trees Optimum Under Various Criteria . . . . . . . . . . . . . . . . 246--256 T. D. Morley A Gauss--Markov Theorem for Infinite Dimensional Regression Models with Possibly Singular Covariance . . . . . . 257--260 J. Carr and M. Z. M. Malhardeen Beck's Problem . . . . . . . . . . . . . 261--262 B. W. Conolly and Q. H. Choo The Waiting Time Process for a Generalized Correlated Queue with Exponential Demand and Service . . . . . 263--275 Michail Zak Dynamics of Liquid Films and Thin Jets 276--289 Marilyn Hirschhorn Sapir and Edward L. Reiss Dynamic Buckling of a Nonlinear Timoshenko Beam . . . . . . . . . . . . 290--301 L. A. Rubenfeld A Model Bifurcation Problem Exhibiting the Effects of Slow Passage Through Critical . . . . . . . . . . . . . . . . 302--306 John C. Neu Coupled Chemical Oscillators . . . . . . 307--315 Davis Cope Reaction-Diffusion Systems with Explicit Traveling Wave and Transient Solutions 316--324 A. F. Gualtierotti On Cross-Covariance Operators . . . . . 325--329 James P. Keener Secondary Bifurcation and Multiple Eigenvalues . . . . . . . . . . . . . . 330--349 I. R. Collinge and J. R. Ockendon Transition Through Resonance of a Duffing Oscillator . . . . . . . . . . . 350--357 G. Solomon and H. C. A. van Tilborg A Connection Between Block and Convolutional Codes . . . . . . . . . . 358--369 M. B. Zarrop and R. L. Payne and G. C. Goodwin Experiment Design for Time Series Analysis: The Multivariate Case . . . . 370--381 H. Kurss and W. Vojir A Resonant Response to Random Excitation 382--395 F. K. Hwang and S. Lin and C. L. Mallows Some Realizability Theorems in Group Testing . . . . . . . . . . . . . . . . 396--400 Jonathan W. Still A Class of New Methods for Congressional Apportionment . . . . . . . . . . . . . 401--418 Aileen M. McLoughlin The Covering Radius of the $ (m - 3) $ rd Order Reed Muller Codes and a Lower Bound on the $ (m - 4) $ th Order Reed Muller Codes . . . . . . . . . . . . . . 419--422 Chris Rorres A Nonlinear Model of Population Growth in Which Fertility is Dependent on Birth Rate . . . . . . . . . . . . . . . . . . 423--432 Julia Abrahams and John B. Thomas A Note on the Characterization of Bivariate Densities with Gaussian Marginal Densities . . . . . . . . . . . 433--435 Nancy Kopell A Geometric Approach to Boundary Layer Problems Exhibiting Resonance . . . . . 436--458
Petr Ya. Ufimtsev Uniform Asymptotic Theory of Diffraction by a Finite Cylinder . . . . . . . . . . 459--466 T. Kailath and B. Lévy and L. Ljung and M. Morf The Factorization and Representation of Operators in the Algebra Generated by Toeplitz Operators . . . . . . . . . . . 467--484 R. N. Bhattacharya and V. K. Gupta On a Statistical Theory of Solute Transport in Porous Media . . . . . . . 485--498 Masayasu Mimura Asymptotic Behaviors of a Parabolic System Related to a Planktonic Prey and Predator Model . . . . . . . . . . . . . 499--512 O. Kariv and S. L. Hakimi An algorithmic approach to network location problems. I. The $p$-centers 513--538 O. Kariv and S. L. Hakimi An algorithmic approach to network location problems. II. The $p$-medians 539--560 Richard J. Field and William C. Troy The Existence of Solitary Traveling Wave Solutions of a Model of the Belousov--Zhabotinski\u\i Reaction . . . 561--587 Stuart S. Antman Multiple Equilibrium States of Nonlinearly Elastic Strings . . . . . . 588--604 Victor Barcilon On the Multiplicity of Solutions of the Inverse Problem for a Vibrating Beam . . 605--613 Marc A. Berger Positive Kernels and Stochastic Integrals . . . . . . . . . . . . . . . 614--618 R. B. Guenther and R. Schmidt Remarks on Parameter Identification . . 619--623 Pascal Chossat Bifurcation and Stability of Convective Flows in a Rotating or Not Rotating Spherical Shell . . . . . . . . . . . . 624--647 P. de Mottoni and F. Rothe Convergence to Homogeneous Equilibrium State for Generalized Volterra--Lotka Systems with Diffusion . . . . . . . . . 648--663 Martin Braun The Stability of the Van Allen Radiation Belt . . . . . . . . . . . . . . . . . . 664--668 B. J. Matkowsky and G. I. Sivashinsky Acceleration Effects on the Stability of Flame Propagation . . . . . . . . . . . 669--685 B. J. Matkowsky and G. I. Sivashinsky An Asymptotic Derivation of Two Models in Flame Theory Associated with the Constant Density Approximation . . . . . 686--699 Joseph Ja'Ja' An Addendum to Kronecker's Theory of Pencils . . . . . . . . . . . . . . . . 700--712 Marilyn Hirschhorn Sapir and Edward L. Reiss Erratum: ``Dynamic Buckling of a Nonlinear Timoshenko Beam'' [SIAM J. Appl. Math. \bf 37 (1979), no. 2, 290--301] . . . . . . . . . . . . . . . 713--713 Julia Abrahams and John B. Thomas Erratum: ``A Note on the Characterization of Bivariate Densities with Gaussian Marginal Densities'' [SIAM J. Appl. Math. \bf 37 (1979), no. 2, 433--435] . . . . . . . . . . . . . . . 714--714
G. B. Ermentrout and J. D. Cowan Large Scale Spatially Organized Activity in Neural Nets . . . . . . . . . . . . . 1--21 Peter N. Brown Decay to Uniform States in Ecological Interactions . . . . . . . . . . . . . . 22--37 Bernard J. Matkowsky and Leonard J. Putnick and Edward L. Reiss Secondary States of Rectangular Plates 38--51 Marianela Lentini and Herbert B. Keller The von Kármán swirling flows . . . . . . 52--64 Philip J. Holmes Averaging and Chaotic Motions in Forced Oscillations . . . . . . . . . . . . . . 65--80 Peter S. Bernard A Method for Computing Two-Dimensional Turbulent Flows . . . . . . . . . . . . 81--92 James Geer Electromagnetic Scattering by a Slender Body of Revolution: Axially Incident Plane Wave . . . . . . . . . . . . . . . 93--102 Milan Kubí\vcek Algorithm for Evaluation of Complex Bifurcation Points in Ordinary Differential Equations . . . . . . . . . 103--107 Ariel Rubinstein Ranking the Participants in a Tournament 108--111 Thomas L. Corwin On Multiplicative Functionals on Diffusion Processes . . . . . . . . . . 112--119 Marc Mangel Small Fluctuations in Systems with Multiple Limit Cycles . . . . . . . . . 120--138 Stephen H. Davis and S. Rosenblat A Quasiperiodic Mathieu--Hill Equation 139--155 J. F. Mahoney and B. D. Sivazlian Probability of Shortage for Erlang Distributed Demand in a ($ \sigma, {S}) $ Inventory Problem . . . . . . . . . . 156--162 Barry C. Arnold Distribution-Free Bounds on the Mean of the Maximum of a Dependent Sample . . . 163--167 John T. Antoun and F. Alberto Grünbaum The Lowest Eigenvalue of a Random Matrix 168--174 Yutaka Yasuda and Hisataka Ito and Hisatsugu Ishizu On the Input-Output Stability of Linear Time-Varying Systems . . . . . . . . . . 175--188
John C. Neu The Method of Near-Identity Transformations and Its Applications . . 189--208 M. Maiti On the Equilibrium of a Griffith Crack Opened by a Rigid Inclusion . . . . . . 209--214 J. C. Williams, III and T. B. Rhyne Boundary Layer Development on a Wedge Impulsively Set Into Motion . . . . . . 215--224 R. E. O'Malley, Jr. and J. E. Flaherty Analytical and Numerical Methods for Nonlinear Singular Singularly-Perturbed Initial Value Problems . . . . . . . . . 225--248 Edward L. Reiss A Modified Two-Time Method for the Dynamic Transitions of Bifurcation . . . 249--260 Zvi Artstein and George Karakostas Convergence in the Delay Population Equation . . . . . . . . . . . . . . . . 261--272 R. W. Lardner and G. N. Bojadziev Comments on a Paper by Seymour and Mortell . . . . . . . . . . . . . . . . 273--274 A. Nachman and A. Callegari A Nonlinear Singular Boundary Value Problem in the Theory of Pseudoplastic Fluids . . . . . . . . . . . . . . . . . 275--281 J. Hofbauer and P. Schuster and K. Sigmund and R. Wolff Dynamical systems under constant organization. II. Homogeneous growth functions of degree $ p = 2 $ . . . . . 282--304 John C. Neu Large Populations of Coupled Chemical Oscillators . . . . . . . . . . . . . . 305--316 Harold H. Johnson and Andrew Vogt A Geometric Method for Approximating Convex Arcs . . . . . . . . . . . . . . 317--325 M. J. Normandia and G. S. S. Ludford Surface Equilibrium in Drop Combustion 326--339
Henry C. Simpson Stability of periodic solutions of nonlinear integro-differential systems 341--363 M. Yannakakis and F. Gavril Edge Dominating Sets in Graphs . . . . . 364--372 George Dassios Second Order Low-Frequency Scattering by the Soft Ellipsoid . . . . . . . . . . . 373--381 A. K. Kapila and B. J. Matkowsky and J. Vega Reactive-Diffusive System with Arrhenius Kinetics: Peculiarities of the Spherical Geometry . . . . . . . . . . . . . . . . 382--401 Frank Harary and Andrew Vince Graphical Completions of a Sequence . . 402--402 C. J. Marzec and E. A. Spiegel Ordinary Differential Equations with Strange Attractors . . . . . . . . . . . 403--421 R. G. Gibbs Traveling Waves in the Belousov--Zhabotinski\u\i Reaction . . . 422--444 Mark H. Holmes Low Frequency Asymptotics for a Hydroelastic Model of the Cochlea . . . 445--456 Davis Cope Stability of Limit Cycle Solutions of Reaction-Diffusion Equations . . . . . . 457--479 Luc Devroye and Gary L. Wise Detection of Abnormal Behavior Via Nonparametric Estimation of the Support 480--488 B. J. Matkowsky and L. J. Putnick and G. I. Sivashinsky A Nonlinear Theory of Cellular Flames 489--504
J. H. Wilson Solution of Integral Equation Important in Signal Processing of Radar and Sonar Hydrophone Array Outputs . . . . . . . . 1--7 M. R. Duffy and N. F. Britton and J. D. Murray Spiral Wave Solutions of Practical Reaction-Diffusion Systems . . . . . . . 8--13 Mark J. Friedman Mathematical Study of the Nonlinear Singular Integral Magnetic Field Equation. I . . . . . . . . . . . . . . 14--20 A. K. Kapila Reactive-Diffusive System with Arrhenius Kinetics: Dynamics of Ignition . . . . . 21--36 Vincenzo Capasso and Donato Fortunato Stability Results for Semilinear Evolution Equations and Their Application to Some Reaction-Diffusion Problems . . . . . . . . . . . . . . . . 37--47 O. Diekmann and D. Hilhorst and L. A. Peletier A Singular Boundary Value Problem Arising in a Pre-Breakdown Gas Discharge 48--66 G. I. Sivashinsky On Flame Propagation Under Conditions of Stoichiometry . . . . . . . . . . . . . 67--82 Tao Chang and Gabor T. Herman A Scientific Study of Filter Selection for a Fan-Beam Convolution Reconstruction Algorithm . . . . . . . . 83--105 A. Bultheel Recursive Algorithms for Nonnormal Padé Tables . . . . . . . . . . . . . . . . . 106--118 J. A. Howell and T. F. Smith and M. S. Waterman Computation of Generating Functions for Biological Molecules . . . . . . . . . . 119--133 Rémi Sentis Approximation and Homogenization of a Transport Process . . . . . . . . . . . 134--141 Lawrence Sirovich Boundary Effects in Neural Networks . . 142--160 Richard D. McKelvey and Peter C. Ordeshook and Peter Ungar Conditions for Voting Equilibria in Continuous Voter Distributions . . . . . 161--168 Z. Hryniewicz Numerical Generation Methods of Homogeneous and Nonhomogeneous Two-Dimensional Gaussian Random Fields 169--172 John Tydeman and Robert Mitchell A Note on the Kounias and Marin Method of Best Linear Bonferroni Bounds . . . . 173--177 Chiang C. Mei and E. O. Tuck Forward Scattering by Long Thin Bodies 178--191
J. L. Nowinski Bilateral Bounds for the Solution of a Generalized Biharmonic Boundary Value Problem . . . . . . . . . . . . . . . . 193--200 E. W. Larsen and G. C. Pomraning Asymptotic Analysis of Nonlinear Marshak Waves . . . . . . . . . . . . . . . . . 201--212 A. K. Bajaj and P. R. Sethna and T. S. Lundgren Hopf Bifurcation Phenomena in Tubes Carrying a Fluid . . . . . . . . . . . . 213--230 P. C. Consul and H. C. Gupta The Generalized Negative Binomial Distribution and its Characterization by Zero Regression . . . . . . . . . . . . 231--237 George W. Bluman On the Transformation of Diffusion Processes into the Wiener Process . . . 238--247 C. Hunter and B. Guerrieri Deducing the Properties of Singularities of Functions From Their Taylor Series Coefficients . . . . . . . . . . . . . . 248--263 Hans J. Lugt Multipole Decomposition of Solutions of the Vector Diffusion Equation . . . . . 264--271 J. R. Cannon and Paul DuChateau An Inverse Problem for a Nonlinear Diffusion Equation . . . . . . . . . . . 272--289 Bernard J. Matkowsky and David O. Olagunju Propagation of a Pulsating Flame Front in a Gaseous Combustible Mixture . . . . 290--300 J. M. Greenberg Spiral Waves for $ \lambda - \omega $ Systems . . . . . . . . . . . . . . . . 301--309 Henry C. Tuckwell Evidence of Soliton-Like Behavior of Solitary Waves in a Nonlinear Reaction-Diffusion System . . . . . . . 310--322 G. B. Ermentrout and J. D. Cowan Secondary Bifurcation in Neuronal Nets 323--340 Oleh Tretiak and Charles Metz The Exponential Radon Transform . . . . 341--354 K. Y. Fung Shock Wave Formation at a Caustic . . . 355--371 P. M. Beckett Combined Natural- and Forced-Convection Between Parallel Vertical Walls . . . . 372--384 Arthur M. Farley Broadcast Time in Communication Networks 385--390
A. K. Kapila and B. J. Matkowsky Reactive-Diffusive System With Arrhenius Kinetics: The Robin Problem . . . . . . 391--401 Frank Natterer A Sobolev Space Analysis of Picture Reconstruction . . . . . . . . . . . . . 402--411 D. R. Kassoy and Justin Poland The Thermal Explosion Confined by a Constant Temperature Boundary: I --- The Induction Period Solution . . . . . . . 412--430 R. S. Singh Asymptotic Normality of Nonparametric Estimators of Derivatives of Average of $ \mu $-Densities . . . . . . . . . . . 431--439 Edward L. Reiss A New Asymptotic Method for Jump Phenomena . . . . . . . . . . . . . . . 440--455 Samuel H. Gray A Second Order Procedure for One-Dimensional Velocity Inversion . . . 456--462 Donald S. Cohen and S. Rosenblat Flickering and Thermal Flicker Waves on Catalytic Wires and Gauzes and in Chemical Reactors . . . . . . . . . . . 463--474 Sherwin J. Skar Stability of Multi-Machine Power Systems with Nontrivial Transfer Conductances 475--491 E. Y. Harper Motion-Induced Singularities in Power Spectra Associated with Ocean Gravity-Wave Fluctuations . . . . . . . 492--511 J. David Logan and José de Jesús Pérez Similarity Solutions for Reactive Shock Hydrodynamics . . . . . . . . . . . . . 512--527 J. P. Keener Waves in Excitable Media . . . . . . . . 528--548
Herbert W. Hethcote and Harlan W. Stech and P. van den Driessche Nonlinear Oscillations in Epidemic Models . . . . . . . . . . . . . . . . . 1--9 R. Grimshaw The Modulation of a Weakly Nonlinear Wave Packet in an Inhomogeneous Medium 10--34 Charles G. Lange Branching from Closely Spaced Eigenvalues with Application to a Model Biochemical Reaction . . . . . . . . . . 35--51 Charles G. Lange Branching from Large Eigenvalues of Nonlinear Sturm--Liouville Systems . . . 52--70 J. N. Bardsley and A. Dubi The Average Transport Path Length in Scattering Media . . . . . . . . . . . . 71--77 S. H. Smith The Development of Vertical Layers in a Rotating Fluid . . . . . . . . . . . . . 78--89 Masatoshi Ikeuchi and Kazuo Inoue and Hideo Sawami and Hiroshi Niki Arbitrarily Shaped Hollow Waveguide Analysis by the $ \alpha $-Interpolation Method . . . . . . . . . . . . . . . . . 90--98 Dorel Homentcovschi Axially Symmetric Oseen Flow Past a Slender Body of Revolution . . . . . . . 99--112 Floyd B. Hanson and Charles Tier An Asymptotic Solution of the First Passage Problem for Singular Diffusion in Population Biology . . . . . . . . . 113--132 Phillip E. Pfeifer and Stuart Jay Deutsch Variance of the Sample Space-Time Correlation Function of Contemporaneously Correlated Variables 133--136 J. C. Samson and J. V. Olson Generalized Stokes Vectors and Generalized Power Spectra for Second-Order Stationary Vector-Processes 137--149 Richard E. Plant A Fitzhugh Differential-Difference Equation Modeling Recurrent Neural Feedback . . . . . . . . . . . . . . . . 150--162 Roberta S. Wenocur and Stephen W. Salant Recurrence of a Modified Random Walk and its Application to an Economic Model . . 163--166 Philip J. Holmes Errata and Addenda: ``Averaging and Chaotic Motions in Forced Oscillations'' [SIAM J. Appl. Math. \bf 38 (1980), no. 1, 65--80, MR 80m:34044] . . . . . . . . 167--168
Anthony D. Thrall Some Properties of Least-Squares Digital Filters . . . . . . . . . . . . . . . . 169--178 Joel N. Franklin Confidence Intervals for Stereological Estimators with Infinite Variance . . . 179--190 A. Munier and J. R. Burgan and J. Gutierrez and E. Fijalkow and M. R. Feix Group Transformations and the Nonlinear Heat Diffusion Equation . . . . . . . . 191--207 Randall G. Williams The Problem of Stochastic Exit . . . . . 208--223 Edward J. Bissett Interaction of Steady and Periodic Bifurcating Modes with Imperfection Effects in Reaction-Diffusion Systems 224--241 B. J. Matkowsky and Z. Schuss Eigenvalues of the Fokker--Planck Operator and the Approach to Equilibrium for Diffusions in Potential Fields . . . 242--254 G. I. Sivashinsky and B. J. Matkowsky On the Stability of Nonadiabatic Flames 255--260 A. Linán and F. A. Williams Note on Ignition by a Hot Catalytic Surface . . . . . . . . . . . . . . . . 261--265 K. E. Swick A Nonlinear Model for Human Population Dynamics . . . . . . . . . . . . . . . . 266--278 Harry H. Denman and Lawrence H. Buch Variational Treatment for Equations of the Langmuir Type . . . . . . . . . . . 279--282 D. K. McIlroy and D. P. Mason Electric field dissociation of charged macromolecular sites in polarized biomembranes. I. The mathematical model 283--297 D. P. Mason and D. K. McIlroy Electric field dissociation of charged macromolecular sites in polarized biomembranes. II. A dual perturbation solution . . . . . . . . . . . . . . . . 298--314 P. L. Chow and K. L. Chiou Asymptotic Stability of Randomly Perturbed Linear Periodic Systems . . . 315--326 Marc Mangel Search for a Randomly Moving Object . . 327--338 James C. Bezdek and Chris Coray and Robert Gunderson and James Watson Detection and characterization of cluster substructure. I. Linear structure: fuzzy $c$-lines . . . . . . . 339--357 James C. Bezdek and Chris Coray and Robert Gunderson and James Watson Detection and characterization of cluster substructure. II. Fuzzy $c$-varieties and convex combinations thereof . . . . . . . . . . . . . . . . 358--372
Robert G. Payton Epicenter and Epicentral-Axis Motion of a Transversely Isotropic Elastic Half-Space . . . . . . . . . . . . . . . 373--389 J. Guy and B. Mangeot Use of Group Theory in Various Integral Equations . . . . . . . . . . . . . . . 390--399 Ravindra M. Phatarfod The Infinitely Deep Dam with Seasonal Markov Inflows . . . . . . . . . . . . . 400--408 Mythily Ramaswamy On a Nonlinear Elliptic Equation with Periodic Coefficients . . . . . . . . . 409--418 Kurt Bernardo Wolf On Time-Dependent Quadratic Quantum Hamiltonians . . . . . . . . . . . . . . 419--431 G. Sivashinsky On Spinning Propagation of Combustion Waves . . . . . . . . . . . . . . . . . 432--438 Frank Hagin A Stable Approach to Solving One-Dimensional Inverse Problems . . . . 439--453 D. P. Gaver and P. A. Jacobs On Combinations of Random Loads . . . . 454--466 Nasser Hadidi Queues with Partial Correlation . . . . 467--475 J. W. Bebernes and D. R. Kassoy A Mathematical Analysis of Blowup for Thermal Reactions --- The Spatially Nonhomogeneous Case . . . . . . . . . . 476--484 O. E. Percus and J. K. Percus One-Dimensional Random Walk with Phase Transition . . . . . . . . . . . . . . . 485--497 Hal L. Smith Competitive Coexistence in an Oscillating Chemostat . . . . . . . . . 498--522 J. Case On the Relative Merits of the English and American Rules for Allocating Court Costs . . . . . . . . . . . . . . . . . 523--527 H. J. Kushner and Hai Huang On the Weak Convergence of a Sequence of General Stochastic Difference Equations to a Diffusion . . . . . . . . . . . . . 528--541 Moshe Shaked Extensions of the IHR and IHRA Aging Notions . . . . . . . . . . . . . . . . 542--550 Bernard J. Matkowsky and David O. Olagunju Pulsations in a Burner-Stabilized Premixed Plane Flame . . . . . . . . . . 551--562 Donald L. Dean and Robert T. Ramsay Field Analysis of Models with Multiple Node Sets Along One Coordinate . . . . . 563--568
K. P. Hadeler Stable Polymorphisms in a Selection Model with Mutation . . . . . . . . . . 1--7 David Colton and Andreas Kirsch The Determination of the Surface Impedance of an Obstacle from Measurements of the Far Field Pattern 8--15 Stephen C. Persek Asymptotic Stability on Slow Time Scales for Periodic Systems . . . . . . . . . . 16--28 A. K. Kapila Arrhenius Systems: Dynamics of Jump Due to Slow Passage Through Criticality . . 29--42 Stamatis Cambanis and Grady Miller Linear Problems in $p$ th Order and Stable Processes . . . . . . . . . . . . 43--69 Andrew Majda A Qualitative Model for Dynamic Combustion . . . . . . . . . . . . . . . 70--93 B. R. Seymour and M. P. Mortell Discontinuous Solutions of a Measure-Preserving Mapping . . . . . . . 94--106 A. S. Jones On a Conjecture of Mortell and Seymour 107--111 Richard N. Barshinger and James F. Geer The Electrostatic Potential Field About a Thin Oblate Body of Revolution . . . . 112--126 James P. Keener Infinite Period Bifurcation and Global Bifurcation Branches . . . . . . . . . . 127--144 Gene A. Klaasen and William C. Troy The Stability of Traveling Wave Front Solutions of a Reaction-Diffusion System 145--167 Jonathan Bell Modeling Parallel, Unmyelinated Axons: Pulse Trapping and Ephaptic Transmission 168--180 L. M. Perko Periodic orbits in the restricted problem: an analysis in the neighborhood of a 1st species--2nd species bifurcation . . . . . . . . . . . . . . 181--202 C. Hunter and B. Guerrieri Erratum: ``Deducing the Properties of Singularities of Functions from their Taylor Series Coefficients'' [SIAM J. Appl. Math. \bf 39 (1980), no. 2, 248--263] . . . . . . . . . . . . . . . 203--203
B. D. Sivazlian On a Multivariate Extension of the Gamma and Beta Distributions . . . . . . . . . 205--209 Gerard R. Richter An Inverse Problem for the Steady State Diffusion Equation . . . . . . . . . . . 210--221 D. J. Britten and F. W. Lemire A Structure Theorem for Rings Supporting a Discrete Fourier Transform . . . . . . 222--226 John W. Miles An Envelope Soliton Problem . . . . . . 227--230 D. R. Kassoy and J. Poland The thermal explosion confined by a constant temperature boundary. II. The extremely rapid transient . . . . . . . 231--246 P. W. Duck Torsional Oscillations of a Finite Disk 247--264 Ronald E. Kates Uniformity Test for the Method of Strained Coordinates . . . . . . . . . . 265--270 L. Pamela Cook and Mark Holmes Waves and Dispersion Relations for Hydroelastic Systems . . . . . . . . . . 271--287 Michael Williams Another Look at Ackerberg--O'Malley Resonance . . . . . . . . . . . . . . . 288--293 Joseph B. Keller Oblique Derivative Boundary Conditions and the Image Method . . . . . . . . . . 294--300 Lawrence E. Levine and Sylvester L. Tuohy Correcting for Initial Conditions in Multitime Problems . . . . . . . . . . . 301--305 Jean Marc Vanden-Broeck Deformation of a Liquid Surface by an Impinging Gas Jet . . . . . . . . . . . 306--309 Paul DuChateau Monotonicity and Uniqueness Results in Identifying an Unknown Coefficient in a Nonlinear Diffusion Equation . . . . . . 310--323 Ronald Sverdlove Leslie Models with Input . . . . . . . . 324--330 Heinz-Otto Kreiss Resonance for Singular Perturbation Problems . . . . . . . . . . . . . . . . 331--344 J. Michael Harrison and Martin I. Reiman On the Distribution of Multidimensional Reflected Brownian Motion . . . . . . . 345--361 L. A. Skinner Note on the Lagerstrom Singular Perturbation Models . . . . . . . . . . 362--364 John C. Neu Stochastically Perturbed Resonance . . . 365--369 R. Bouc and E. Pardoux Moments of Semilinear Random Evolutions 370--399
James K. Knowles A Note on the Energy Release Rate in Quasi-Static Elastic Crack Propagation 401--412 Ibrahim A. Ahmad Asymptotic Properties of System Reliability Estimators . . . . . . . . . 413--421 Sze Bi Hsu and Kuo Shung Cheng and S. P. Hubbell Exploitative Competition of Microorganisms for Two Complementary Nutrients in Continuous Cultures . . . . 422--444 Matiur Rahman and I. C. Chakravartty Hydrodynamic Loading Calculations for Offshore Structures . . . . . . . . . . 445--458 Harland M. Glaz Statistical Behavior and Coherent Structures in Two-Dimensional Inviscid Turbulence . . . . . . . . . . . . . . . 459--479 R. W. Lardner and G. Nicklason The Stable Self-Excitations of the Nonlinear Wave Equation of Van Der Pol Type . . . . . . . . . . . . . . . . . . 480--492 E. Pitts The Overlap of Random Particles and Similar Problems: Expressions for Variance of Coverage and its Analogue 493--498 Peter C. Fishburn An Analysis of Simple Voting Systems for Electing Committees . . . . . . . . . . 499--502 J. P. Keener and F. C. Hoppensteadt and J. Rinzel Integrate-and-Fire Models of Nerve Membrane Response to Oscillatory Input 503--517 G. L. Blankenship and J. S. Baras Accurate Evaluation of Stochastic Wiener Integrals with Applications to Scattering in Random Media and to Nonlinear Filtering . . . . . . . . . . 518--552 Alan J. Lee A Note on the Campbell Sampling Theorem 553--557 Richard E. Maine and Kenneth W. Iliff Formulation and Implementation of a Practical Algorithm for Parameter Estimation with Process and Measurement Noise . . . . . . . . . . . . . . . . . 558--579 D. K. McIlroy and D. P. Mason Electric field dissociation of charged macromolecular sites in polarized biomembranes. III. Numerical results and application to nervous conduction . . . 580--591
M. C. Shen Uniform Asymptotic Expansions Related to Unsteady Flow in Unconfined Aquifers . . 1--9 G. M. Schindler The Intrinsic Geometrical and Physical Properties of Plane Steady Gas Flow . . 10--26 Hal L. Smith The Interaction of Steady State and Hopf Bifurcations in a Two-Predator--One-Prey Competition Model . . . . . . . . . . . 27--43 Dorel Homentcovschi Uniform Asymptotic Solutions for the Potential Field Around a Thin Oblate Body of Revolution . . . . . . . . . . . 44--65 M. Bertsch Asymptotic Behavior of Solutions of a Nonlinear Diffusion Equation . . . . . . 66--76 W. D. Lakin and A. Nachman Uniform Real-Variable Asymptotic Approximations for Vibrations of a Rotating Flexible Rod . . . . . . . . . 77--85 Roza Rusinek Rate of Extinction and Limiting Distribution for a Geographically Structured Population . . . . . . . . . 86--93 Morton E. Gurtin and Daniel S. Levine On Populations that Cannibalize Their Young . . . . . . . . . . . . . . . . . 94--108 John W. Miles On a Nonlinear Bessel Equation . . . . . 109--112 David E. Gilsinn A High Order Generalized Method of Averaging . . . . . . . . . . . . . . . 113--134 John G. Watson and Edward L. Reiss A Statistical Theory for Imperfect Bifurcation . . . . . . . . . . . . . . 135--148 Michael Williams Asymptotic Exit Time Distributions . . . 149--154 D. A. Spence A Note on the Eigenfunction Expansion for the Elastic Strip . . . . . . . . . 155--173 B. Z. Bobrovsky and Z. Schuss A Singular Perturbation Method for the Computation of the Mean First Passage Time in a Nonlinear Filter . . . . . . . 174--187 N. F. Britton Threshold Phenomena and Solitary Traveling Waves in a Class of Reaction-Diffusion Systems . . . . . . . 188--217
John W. Evans and Neil Fenichel and John A. Feroes Double Impulse Solutions in Nerve Axon Equations . . . . . . . . . . . . . . . 219--234 John A. Feroe Existence and Stability of Multiple Impulse Solutions of a Nerve Equation 235--246 Stuart P. Hastings Single and Multiple Pulse Waves for the Fitzhugh--Nagumo Equations . . . . . . . 247--260 R. C. Srivastava A Note on the Rao--Rubin Characterization of the Poisson Distribution . . . . . . . . . . . . . . 261--265 Jack L. Buhite Two Examples of Pathological Elastic-Plastic Behavior . . . . . . . . 266--271 George Dassios Low Frequency Scattering Theory for a Penetrable Body with an Impenetrable Core . . . . . . . . . . . . . . . . . . 272--280 Per Lötstedt Mechanical Systems of Rigid Bodies Subject to Unilateral Constraints . . . 281--296 D. R. Jensen Inequalities for Joint Distributions of Quadratic Forms . . . . . . . . . . . . 297--301 W. C. Chew and J. A. Kong Microstrip Capacitance for a Circular Disk Through Matched Asymptotic Expansions . . . . . . . . . . . . . . . 302--317 A. S. Fokas and Y. C. Yortsos On the Exactly Solvable Equation $ {S}_t = \lbrack (\beta {S} + \gamma)^{-2}{S}_x \rbrack_x + \alpha (\beta {S} + \gamma)^{-2S}_x $ Occurring in Two-Phase Flow in Porous Media . . . . . . . . . . 318--332 Jon C. Luke A Method for the Calculation of Vesicle Shapes . . . . . . . . . . . . . . . . . 333--345 Samuel H. Gray and Frank Hagin Toward Precise Solution of One-Dimensional Velocity Inverse Problems . . . . . . . . . . . . . . . . 346--355 L. Sirovich and B. W. Knight Contributions to the Eigenvalue Problem for Slowly Varying Operators . . . . . . 356--377 B. W. Knight and L. Sirovich The Wigner Transform and Some Exact Properties of Linear Operators . . . . . 378--389 Peter Hall The Influence of Rounding Errors on Some Nonparametric Estimators of a Density and its Derivatives . . . . . . . . . . 390--399 R. Glowinski and P. Le Tallec Numerical solution of problems in incompressible finite elasticity by augmented Lagrangian methods. I. Two-dimensional and axisymmetric problems . . . . . . . . . . . . . . . . 400--429 Alvin Bayliss and Max Gunzburger and Eli Turkel Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions . . . . . . . . . . . . 430--451
Peter S. Bernard and Bruce S. Berger A Method for Computing Three-Dimensional Turbulent Flows . . . . . . . . . . . . 453--470 M. F. Videc and C. Kooy On the Geometric Optic Formulation of Radiation in a Rotating Medium . . . . . 471--485 B. J. Matkowsky and D. O. Olagunju Traveling Waves Along the Front of a Pulsating Flame . . . . . . . . . . . . 486--501 Charles G. Lange and Robert M. Miura Singular Perturbation Analysis of Boundary-Value Problems for Differential-Difference Equations . . . 502--531 Purn\=a Sark\=ar Asymptotic Analysis of Waves Due to Oscillatory Surface Pressure Over a Sloping Beach . . . . . . . . . . . . . 532--541 Meira S. Falkovitz and Lee A. Segel Some Analytic Results Concerning the Accuracy of the Continuous Approximation in a Polymerization Problem . . . . . . 542--548 Peter A. Markowich Asymptotic analysis of von Kármán flows 549--557 Alfred Carasso Determining Surface Temperatures from Interior Observations . . . . . . . . . 558--574 E. B. Manoukian Bound on the Accuracy of Bartlett's Chi-Square Approximation for Testing the Homogeneity of Variances . . . . . . . . 575--587 J. A. Morrison The Solution of an Integral Equation Related to an Optimal Linear Estimation Problem . . . . . . . . . . . . . . . . 588--607 Donald S. Cohen and S. Rosenblat A Delay Logistic Equation with Variable Growth Rate . . . . . . . . . . . . . . 608--624 G. C. Lu and G. S. S. Ludford Asymptotic Analysis of Plane Steady Detonations . . . . . . . . . . . . . . 625--635 Mithat \.Idemen On an Integral Transform with Kernel $ {Q}^{- \mu }_{\nu - 1 / 2}(\cos \theta) $ and Its Applications to Second Order Canonical Problems of GTD . . . . . . . 636--652 P. Dixit and D. D. Joseph The Shape of Stress-Free Surfaces on a Sheared Block . . . . . . . . . . . . . 653--677 C. M. Andersen and James F. Geer Power Series Expansions for the Frequency and Period of the Limit Cycle of the Van Der Pol Equation . . . . . . 678--693
Stuart Geman Almost Sure Stable Oscillations in a Large System of Randomly Coupled Equations . . . . . . . . . . . . . . . 695--703 G. Browning and H. O. Kreiss Problems with Different Time Scales for Nonlinear Partial Differential Equations 704--718 W. Y. Tan On Distribution Theories for the Number of Mutants in Cell Populations . . . . . 719--730 J. Michael Steele Long Common Subsequences and the Proximity of Two Random Strings . . . . 731--737 Donald C. Benson Motion in a Central Force Field with Drag or Tangential Propulsion . . . . . 738--750 Dale T. Hoffman A Model for Strategic Voting . . . . . . 751--761 Patrick S. Hagan Spiral Waves in Reaction-Diffusion Equations . . . . . . . . . . . . . . . 762--786 Moshe Matalon The Steady Burning of a Solid Particle 787--803 Brian R. Seymour and Eric Varley Exact Solutions Describing Soliton-Like Interactions in a Nondispersive Medium 804--821 B. J. Matkowsky and Z. Schuss Diffusion Across Characteristic Boundaries . . . . . . . . . . . . . . . 822--834 B. J. Matkowsky and Z. Schuss and E. Ben-Jacobs A Singular Perturbation Approach to Kramers' Diffusion Problem . . . . . . . 835--849 A. van Harten and B. J. Matkowsky A New Model in Flame Theory . . . . . . 850--867 Bruno V. Schmitt Sur la Structure de L'Équation de Duffing Sans Dissipation. (French) [On the Structure of the Duffing Equation without Dissipation] . . . . . . . . . . 868--894 D. R. Wilken Some Remarks on a Competing Predators Problem . . . . . . . . . . . . . . . . 895--902 James W. K. Mark and Lloyd Smith Plasmas in Particle Accelerators: The Warm-Beam Equilibria . . . . . . . . . . 903--913 James W. K. Mark Plasmas in Particle Accelerators: Adiabatic Theories for Bunched Beams . . 914--922 R. Shantaram On a Conjecture of Norton's . . . . . . 923--925 D. R. Kassoy A Note on Asymptotic Methods for Jump Phenomena . . . . . . . . . . . . . . . 926--932 Charles L. Byrne and Raymond M. Fitzgerald Reconstruction from Partial Information with Applications to Tomography . . . . 933--940
F. A. Grünbaum and L. Longhi and M. Perlstadt Differential Operators Commuting with Finite Convolution Integral Operators: Some Non-Abelian Examples . . . . . . . 941--955 David Dellwo and Herbert B. Keller and Bernard J. Matkowsky and Edward L. Reiss On the Birth of Isolas . . . . . . . . . 956--963 Zhen Huan Teng and Alexandre Joel Chorin and Tai Ping Liu Riemann Problems for Reacting Gas, with Applications to Transition . . . . . . . 964--981 Stephen B. Margolis and Bernard J. Matkowsky Flame Propagation with Multiple Fuels 982--1003 Dale M. Klamer and Elias Masry Polynomial Interpolation of Randomly Sampled Bandlimited Functions and Processes . . . . . . . . . . . . . . . 1004--1019 Bertrand Roehner and Galliano Valent Solving the Birth and Death Processes with Quadratic Asymptotically Symmetric Transition Rates . . . . . . . . . . . . 1020--1046 José M. Vega and Amable Li nán Singular Langmuir--Hinshelwood Reaction-Diffusion Problems: Strong Adsorption Under Quasi-Isothermal Conditions . . . . . . . . . . . . . . . 1047--1068 R. Figari and E. Orlandi and G. Papanicolaou Mean Field and Gaussian Approximation for Partial Differential Equations with Random Coefficients . . . . . . . . . . 1069--1077 A. K. Bajaj Bifurcating Periodic Solutions in Rotationally Symmetric Systems . . . . . 1078--1098 Stephen C. Persek Chaotic Traveling Waves in General Autonomous Systems of Nonlinear Partial Differential Equations . . . . . . . . . 1099--1110 John Rinzel and David Terman Propagation Phenomena in a Bistable Reaction-Diffusion System . . . . . . . 1111--1137 B. J. Matkowsky and D. O. Olagunju Spinning Waves in Gaseous Combustion . . 1138--1156 Sukeyuki Kumei and George W. Bluman When Nonlinear Differential Equations are Equivalent to Linear Differential Equations . . . . . . . . . . . . . . . 1157--1173 Jon C. Luke Erratum: ``A Method for the Calculation of Vesicle Shapes'' [SIAM J. Appl. Math. \bf 42 (1982), no. 2, 333--345] . . . . 1174--1174
Stephen B. Margolis and Bernard J. Matkowsky Flame Propagation with a Sequential Reaction Mechanism . . . . . . . . . . . 1175--1188 R. R. Huilgol A Multi-Parameter Bifurcation Theorem 1189--1194 D. G. Wilson Lagrangian Coordinates for Moving Boundary Problems . . . . . . . . . . . 1195--1201 T. J. Pedley Natural Convection Driven by Osmosis . . 1202--1216 W. H. H. Banks and M. Campbell The Unsteady Collision of Free-Convective Boundary Layers . . . . 1217--1230 Robert Burridge and Jay Kappraff and Christine Morshedi The Sitar String, a Vibrating String with a One-Sided Inelastic Constraint 1231--1251 A. A. Lacey and J. R. Ockendon and A. B. Tayler ``Waiting-Time'' Solutions of a Nonlinear Diffusion Equation . . . . . . 1252--1264 Ishwari D. Dhariyal and Edward J. Dudewicz and Saul Blumenthal Estimation of the Larger Mean . . . . . 1265--1275 David J. Wollkind and J. Iwan D. Alexander Kelvin--Helmholtz Instability in a Layered Newtonian Fluid Model of the Geological Phenomenon of Rock Folding 1276--1295 Tom Louton The Gauss--Markov Theorem for Nonlinear Models . . . . . . . . . . . . . . . . . 1296--1301 Michael Vogelius and George Papanicolaou A Projection Method Applied to Diffusion in a Periodic Structure . . . . . . . . 1302--1322 O. P. Chandna and R. M. Barron and A. C. Smith Rotational Plane Flows of a Viscous Fluid . . . . . . . . . . . . . . . . . 1323--1336 C. I. Christov A complete orthonormal system of functions in $ {L}^2 ( - \infty, \, \infty) $ space . . . . . . . . . . . . 1337--1344 Paul H. Steen and Stephen H. Davis Quasiperiodic Bifurcation in Nonlinearly-Coupled Oscillators Near a Point of Strong Resonance . . . . . . . 1345--1368
W. E. Olmstead Ignition of a Combustible Half Space . . 1--15 J. F. Magnan and R. A. Goldstein Perturbed Bifurcation of Stationary Striations in a Contaminated, Nonuniform Plasma . . . . . . . . . . . . . . . . . 16--30 Samuel Karlin and Simon Tavaré A Class of Diffusion Processes with Killing Arising in Population Genetics 31--41 Shih Liang Wen and Harold Grad Equilibrium and Adiabatic Compression of a Free Boundary Doublet . . . . . . . . 42--56 Edward L. Reiss Cascading Bifurcations . . . . . . . . . 57--65 J. D. Murray and J. E. R. Cohen On Nonlinear Convective Dispersal Effects in an Interacting Population Model . . . . . . . . . . . . . . . . . 66--78 Sheldon B. Gorell and G. M. Homsy A Theory of the Optimal Policy of Oil Recovery by Secondary Displacement Processes . . . . . . . . . . . . . . . 79--98 Marc Mangel Optimal Search for and Mining of Underwater Mineral Resources . . . . . . 99--106 W. F. Finden An Asymptotic Approximation for Singular Perturbations . . . . . . . . . . . . . 107--119 Charles A. Wingate Numerical Search for a $ \phi^4 $ Breather Mode . . . . . . . . . . . . . 120--140 John C. Neu Resonantly Interacting Waves . . . . . . 141--156 W. R. Madych and S. A. Nelson Polynomial Based Algorithms for Computed Tomography . . . . . . . . . . . . . . . 157--185 Svend Berntsen Diffraction of an Electric Polarized Wave by a Dielectric Wedge . . . . . . . 186--211 Richard N. Barshinger and James F. Geer Potential Flow Around a Thin Oblate Body of Revolution . . . . . . . . . . . . . 212--224
Kenjiro Maginu Spatially Homogeneous and Inhomogeneous Oscillations and Chaotic Motion in the Active Josephson Junction Line . . . . . 225--243 Richard Haberman Energy Bounds for the Slow Capture by a Center in Sustained Resonance . . . . . 244--256 James V. Whittaker On Scale-Invariant Distributions . . . . 257--267 Joseph B. Keller and Michael J. Miksis Surface Tension Driven Flows . . . . . . 268--277 Robert Hummel Sampling for Spline Reconstruction . . . 278--288 J. H. Davis and R. G. Dickinson Spectral Factorization by Optimal Gain Iteration . . . . . . . . . . . . . . . 289--301 Konanur G. Janardan and B. Raja Rao Lagrange Distributions of the Second Kind and Weighted Distributions . . . . 302--313 William L. Kath Necessary Conditions for Sustained Reentry Roll Resonance . . . . . . . . . 314--324 F. Delebecque A Reduction Process for Perturbed Markov Chains . . . . . . . . . . . . . . . . . 325--350 Stephen B. Margolis An Asymptotic Theory of Condensed Two-Phase Flame Propagation . . . . . . 351--369 Hal Smith Hopf Bifurcation in a System of Functional Equations Modeling the Spread of an Infectious Disease . . . . . . . . 370--385 Meira S. Falkovitz and Lee A. Segel Spatially Inhomogeneous Polymerization in Unstirred Bulk . . . . . . . . . . . 386--416 V. Capasso and L. Maddalena Periodic Solutions for a Reaction-Diffusion System Modelling the Spread of a Class of Epidemics . . . . . 417--427 Mark E. Davison The Ill-Conditioned Nature of the Limited Angle Tomography Problem . . . . 428--448
Toshitaka Nagai and Masayasu Mimura Asymptotic Behavior for a Nonlinear Degenerate Diffusion Equation in Population Dynamics . . . . . . . . . . 449--464 Suzanne M. Lenhart and Stavros A. Belbas A System of Nonlinear Partial Differential Equations Arising in the Optimal Control of Stochastic Systems with Switching Costs . . . . . . . . . . 465--475 Alan F. Karr and Robert J. Serfling Error Bounds for Reconstruction of a Function $f$ from a Finite Sequence $ \{ \operatorname {sgn} (f(t_i) + x_i) \} $ 476--490 A. K. Kapila and B. J. Matkowsky and A. Van Harten An asymptotic theory of deflagrations and detonations. I. The steady solutions 491--519 Henrik Skjolding and Bodil Branner-Jòrgensen and Peter L. Christiansen and Helge E. Jensen Bifurcations in Discrete Dynamical Systems with Cubic Maps . . . . . . . . 520--534 M. L. Glasser and J. Boersma Exchange Energy of an Electron Gas of Arbitrary Dimensionality . . . . . . . . 535--545 Heang K. Tuy An Inversion Formula for Cone-Beam Reconstruction . . . . . . . . . . . . . 546--552 J. R. Cannon and P. Duchateau An Inverse Problem for an Unknown Source Term in a Wave Equation . . . . . . . . 553--564 Roberto Benzi and Giorgio Parisi and Angelo Vulpiani A Theory of Stochastic Resonance in Climatic Change . . . . . . . . . . . . 565--578 William L. Kath Conditions for Sustained Resonance. II 579--583 S. K. Cho On Complex Poles in Scattering Theory 584--593 A. D. MacGillivray On the Leading Term of the Inner Asymptotic Expansion of Van Der Pol's Equation . . . . . . . . . . . . . . . . 594--612 Thomas Erneux and Edward L. Reiss Splitting of Steady Multiple Eigenvalues May Lead to Periodic Cascading Bifurcation . . . . . . . . . . . . . . 613--624 David J. Wollkind and J. Iwan D. Alexander Erratum: ``Kelvin--Helmholtz Instability in a Layered Newtonian Fluid Model of the Geological Phenomenon of Rock Folding'' [SIAM J. Appl. Math. \bf 42 (1982), no. 6, 1276--1295, MR 83j:86004] 625--625
Erik B. Hansen and Joseph A. McGeough On Electropainting . . . . . . . . . . . 627--638 R. E. Meyer A View of the Triple Deck . . . . . . . 639--663 Donald Ludwig Parsimonious Asymptotics . . . . . . . . 664--672 B. J. Matkowsky and Z. Schuss and C. Tier Diffusion Across Characteristic Boundaries with Critical Points . . . . 673--695 Milton Van Dyke Laminar Flow in a Meandering Channel . . 696--702 Alice S. Whittemore Transformations to Linearity in Binary Regression . . . . . . . . . . . . . . . 703--710 Victor Twersky Scattering and Nonscattering Obstacles 711--725 Mourad Lahlou and Jack K. Cohen and Norman Bleistein Highly Accurate Inversion Methods for Three-Dimensional Stratified Media . . . 726--758 Lu Ting and Daljit S. Ahluwalia and Michael J. Miksis Solutions of a Class of Mixed Free Boundary Problems . . . . . . . . . . . 759--775 P. H. Coullet and E. A. Spiegel Amplitude Equations for Systems with Competing Instabilities . . . . . . . . 776--821 M. C. Shen Ray Method for Flow of a Compressible Viscous Fluid . . . . . . . . . . . . . 822--833 F. C. Hoppensteadt An Algorithm for Approximate Solutions to Weakly Filtered Synchronous Control Systems and Nonlinear Renewal Processes 834--843 Cathleen S. Morawetz and Gregory A. Kriegsmann The Calculations of an Inverse Potential Problem . . . . . . . . . . . . . . . . 844--854 E. Heyman and L. B. Felsen Evanescent Waves and Complex Rays for Modal Propagation in Curved Open Waveguides . . . . . . . . . . . . . . . 855--884 R. Caflisch and G. C. Papanicolaou Dynamic Theory of Suspensions with Brownian Effects . . . . . . . . . . . . 885--906 John Rinzel and James P. Keener Hopf Bifurcation to Repetitive Activity in Nerve . . . . . . . . . . . . . . . . 907--922 Gregory A. Kriegsmann and Edward L. Reiss Low Frequency Scattering by Local Inhomogeneities . . . . . . . . . . . . 923--934 Robert E. O'Malley, Jr. Shock and Transition Layers for Singularly Perturbed Second-Order Vector Systems . . . . . . . . . . . . . . . . 935--943 Julian D. Cole Note on the Axisymmetric Sonic Jet . . . 944--948 Donald S. Cohen and E. Ann Stanley Gaseous Diffusion in Glassy Polymers . . 949--970 E. Gutkin and M. Kac Propagation of Chaos and the Burgers Equation . . . . . . . . . . . . . . . . 971--980 H. B. Keller and D. J. Perozzi Fast Seismic Ray Tracing . . . . . . . . 981--992
F. A. Howes The Asymptotic Solution of a Class of Third-Order Boundary Value Problems Arising in the Theory of Thin Film Flows 993--1004 James P. Keener Oscillatory Coexistence in the Chemostat: A Codimension Two Unfolding 1005--1018 Michael Ghil and John Tavantzis Global Hopf Bifurcation in a Simple Climate Model . . . . . . . . . . . . . 1019--1041 T. Erneux and D. S. Cohen Imperfect Bifurcation Near a Double Eigenvalue: Transitions Between Nonsymmetric and Symmetric Patterns . . 1042--1060 D. S. Cohen and T. Erneux Transitions Between Nonsymmetric and Symmetric Steady States Near a Triple Eigenvalue . . . . . . . . . . . . . . . 1061--1074 D. Roose and V. Hlavacek Numerical Computation of Hopf Bifurcation Points for Parabolic Diffusion-Reaction Differential Equations . . . . . . . . . . . . . . . 1075--1085 Rodolfo R. Rosales and Andrew Majda Weakly Nonlinear Detonation Waves . . . 1086--1118 S. N. Brown and K. Stewartson On an Integral Equation of Marginal Separation . . . . . . . . . . . . . . . 1119--1126 Pieter S. Dubbelday Application of a New Complex Root-Finding Technique to the Dispersion Relations for Elastic Waves in a Fluid-Loaded Plate . . . . . . . . . . . 1127--1139 Michael J. Miksis Effective Dielectric Constant of a Nonlinear Composite Material . . . . . . 1140--1155 Kenjiro Maginu Standing Wave Oscillations with Periodical Spatial Structures in an Active Josephson Junction Line and in Reaction-Diffusion Systems . . . . . . . 1156--1173 Jagdish Chandra and G. S. Ladde and V. Lakshmikantham Stochastic Analysis of a Compressible Gas Lubrication Slider Bearing Problem 1174--1186 Peter Hall A Unified Approach to the Correction of Normal Approximations . . . . . . . . . 1187--1193 D. R. Jensen and I. J. Good A Representation for Ellipsoidal Distributions . . . . . . . . . . . . . 1194--1200 Frank Natterer Computerized Tomography with Unknown Sources . . . . . . . . . . . . . . . . 1201--1212 Dale T. Hoffman Relative Efficiency of Voting Systems 1213--1219
A. D. MacGillivray On the Leading Term of the Outer Asymptotic Expansion of Van Der Pol's Equation . . . . . . . . . . . . . . . . 1221--1239 Thomas Erneux and Edward L. Reiss Brussellator Isolas . . . . . . . . . . 1240--1246 Zhu Jun Jing Application of Qualitative Methods of Differential Equations to Study Phase-Locked Loops . . . . . . . . . . . 1247--1258 George W. Bluman On Mapping Linear Partial Differential Equations to Constant Coefficient Equations . . . . . . . . . . . . . . . 1259--1273 Robert Kersner Nonlinear Heat Conduction with Absorption: Space Localization and Extinction in Finite Time . . . . . . . 1274--1285 Mitsunobu Nakamura and Masahide Hirasawa Eigenvalues of the Schrödinger equation by the $ \alpha $-interpolation method 1286--1293 G. Joly and J.-P. Kernévez and M. Llory Thermal Instability in Pool Boiling on Wires at Constant Pressure . . . . . . . 1294--1309 Andrew Majda and Rodolfo Rosales A theory for spontaneous Mach stem formation in reacting shock fronts. I. The basic perturbation analysis . . . . 1310--1334 J. Buckmaster Stability of the Porous Plug Burner Flame . . . . . . . . . . . . . . . . . 1335--1349 A. A. Lacey Mathematical Analysis of Thermal Runaway for Spatially Inhomogeneous Reactions 1350--1366 José M. Vega Singular Langmuir--Hinshelwood Reaction-Diffusion Problems: Strongly Nonisothermal Conditions . . . . . . . . 1367--1389 Geoffrey A. Krafft and James W.-K. Mark and Tai Sen F. Wang Plasmas in Particle Accelerators: A Hydrodynamic Model of Three-Dimensional Electrostatic Instabilities . . . . . . 1390--1399 Dan Censor Scattering by Weakly Nonlinear Objects 1400--1417 Mats Gyllenberg Stability of a Nonlinear Age-Dependent Population Model Containing a Control Variable . . . . . . . . . . . . . . . . 1418--1438 P. L. Chow Reconstruction of the Mutual Coherence Function for a Moving Source . . . . . . 1439--1445
Dorel Homentcovschi Uniform Asymptotic Solutions of Two-Dimensional Problems of Elasticity for the Domain Exterior to a Thin Region 1--10 J. R. Burgan and A. Munier and M. R. Feix and E. Fijalkow Homology and the Nonlinear Heat Diffusion Equation . . . . . . . . . . . 11--18 Richard N. Barshinger and James F. Geer Stokes Flow Past a Thin Oblate Body of Revolution: Axially Incident Uniform Flow . . . . . . . . . . . . . . . . . . 19--32 R. N. Bhattacharya and Vijay K. Gupta On the Taylor--Aris Theory of Solute Transport in a Capillary . . . . . . . . 33--39 J. Buckmaster Polyhedral Flames --- An Exercise in Bimodal Bifurcation Analysis . . . . . . 40--55 Robert A. Gardner Existence of Travelling Wave Solutions of Predator-Prey Systems via the Connection Index . . . . . . . . . . . . 56--79 G. Bard Ermentrout Period Doublings and Possible Chaos in Neural Models . . . . . . . . . . . . . 80--95 Gene A. Klaasen and William C. Troy Stationary Wave Solutions of a System of Reaction-Diffusion Equations Derived from the Fitzhugh--Nagumo Equations . . 96--110 D. Dee and M. Ghil Boolean Difference Equations, I: Formulation and Dynamic Behavior . . . . 111--126 B. S. White The Stochastic Caustic . . . . . . . . . 127--149 Tony Elmroth On the $ {H} $-Function and Convergence Towards Equilibrium for a Space-Homogeneous Molecular Density . . 150--159 Harold J. Kushner Robustness and Approximation of Escape Times and Large Deviations Estimates for Systems with Small Noise Effects . . . . 160--182 Efren F. Abaya and Gary L. Wise Convergence of Vector Quantizers with Applications to Optimal Quantization . . 183--189 Julia Abrahams On Miroshin's Second-Order Reciprocal Processes . . . . . . . . . . . . . . . 190--192 W. R. Madych and S. A. Nelson Polynomial based algorithms for computed tomography. II . . . . . . . . . . . . . 193--208 Wade D. Cook and Moshe Kress Relationships Between $ l^1 $ Metrics on Linear Ranking Spaces . . . . . . . . . 209--220
S. C. Chikwendu Multiple-Scale Solution of Weakly Nonlinear Elliptic Equations on the Upper Half-Plane . . . . . . . . . . . . 221--230 Peter A. Markowich and C. A. Ringhofer A Singularly Perturbed Boundary Value Problem Modelling a Semiconductor Device 231--256 Robert W. Kolkka Singular Perturbations of Bifurcations with Multiple Independent Bifurcation Parameters . . . . . . . . . . . . . . . 257--269 A. K. Bajaj and P. R. Sethna Flow Induced Bifurcations to Three-Dimensional Oscillatory Motions in Continuous Tubes . . . . . . . . . . . . 270--286 M. Gregory Forest and David W. McLaughlin Modulations of Perturbed KdV Wavetrains 287--300 David F. Parker and Frederic Y. M. Wan Finite Polar Dimpling of Shallow Caps Under Sub-Buckling Axisymmetric Pressure Distributions . . . . . . . . . . . . . 301--326 M. Matalon and B. J. Matkowsky On the Stability of Plane and Curved Flames . . . . . . . . . . . . . . . . . 327--343 Stephen B. Margolis and Gregory I. Sivashinsky Flame Propagation in Vertical Channels: Bifurcation to Bimodal Cellular Flames 344--368 Luis L. Bonilla and Amable Liñán Relaxation Oscillations, Pulses, and Travelling Waves in the Diffusive Volterra Delay-Differential Equation . . 369--391 J. M. Cushing Periodic Two-Predator, One-Prey Interactions and the Time Sharing of a Resource Niche . . . . . . . . . . . . . 392--410 C. L. Winter and C. M. Newman and S. P. Neuman A Perturbation Expansion for Diffusion in a Random Velocity Field . . . . . . . 411--424 Charles L. Byrne and Raymond M. Fitzgerald Spectral Estimators that Extend the Maximum Entropy and Maximum Likelihood Methods . . . . . . . . . . . . . . . . 425--442 Klaus D. Heidtmann A Priori Error Estimates for the Method of Inclusion-Exclusion with Applications 443--450
P. A. Lagerstrom and D. A. Reinelt Note on Logarithmic Switchback Terms in Regular and Singular Perturbation Expansions . . . . . . . . . . . . . . . 451--462 Thomas Erneux and Edward L. Reiss Singular Secondary Bifurcation . . . . . 463--478 Gareth P. Parry First Kind Transitions in Ideal Crystals 479--492 Nadav Liron and Jacob Rubinstein Calculating the Fundamental Solution to Linear Convection-Diffusion Problems . . 493--511 Charles H. Neil Existence, Uniqueness and Behavior of Solutions of a Singular Nonlinear System from Fluid Dynamics . . . . . . . . . . 512--523 N. Kinoshita and T. Mura Eigenstrain Problems in a Finite Elastic Body . . . . . . . . . . . . . . . . . . 524--535 T. Erneux and B. J. Matkowsky Quasi-Periodic Waves Along a Pulsating Propagating Front in a Reaction-Diffusion System . . . . . . . 536--544 Mark H. Holmes Comparison Theorems and Similarity Solution Approximations for a Nonlinear Diffusion Equation Arising in the Study of Soft Tissue . . . . . . . . . . . . . 545--556 W. John Wilbur and David J. Lipman The Context Dependent Comparison of Biological Sequences . . . . . . . . . . 557--567 G. R. Bigg Scattering and the Parabolic Approximation for Slender Bodies . . . . 568--586 Frank Proschan and Moshe Shaked Random Averaging of Vector Elements . . 587--590 R. Katzur and B. Z. Bobrovsky and Z. Schuss Asymptotic Analysis of the Optimal Filtering Problem for One-Dimensional Diffusions Measured in a Low Noise Channel, Part I . . . . . . . . . . . . 591--604 R. F. Hoskins and J. De Sousa Pinto Sampling Expansions for Functions Band-Limited in the Distributional Sense 605--610 R. F. Hoskins and J. De Sousa Pinto Generalized sampling expansions in the sense of Papoulis . . . . . . . . . . . 611--617 Brett Borden A Vector Inverse Algorithm for Electromagnetic Scattering . . . . . . . 618--626 S. Alliney and F. Sgallari An ``Ill-Conditioned'' Volterra Integral Equation Related to the Reconstruction of Images from Projections . . . . . . . 627--645 Jin Fu Chang and Rong Feng Chang The Application of the Residue Theorem to the Study of a Finite Queue with Batch Poisson Arrivals and Synchronous Servers . . . . . . . . . . . . . . . . 646--656 K.-H. Waldmann Inventory Control in Randomly Varying Environments . . . . . . . . . . . . . . 657--666
V. G. Daniele On the Solution of Two Coupled Wiener--Hopf Equations . . . . . . . . . 667--680 A. C. Fowler and M. J. McGuinness On the Nature of the Torus in the Complex Lorenz Equations . . . . . . . . 681--700 M. Calvin Mosher Ergodicity and Mixing in Four-Mode Spectral Models of Two-Dimensional Turbulence . . . . . . . . . . . . . . . 701--709 R. Glowinski and P. Le Tallec Numerical solution of problems in incompressible finite elasticity by augmented Lagrangian methods. II. Three-dimensional problems . . . . . . . 710--733 Moshe Matalon and Thomas Erneux Expanding Flames May Delay the Transition to Cellular Structures . . . 734--744 J. R. Mooney Steady States of a Reaction-Diffusion System on the Off-Centre Annulus . . . . 745--761 Josef Hofbauer A Difference Equation Model for the Hypercycle . . . . . . . . . . . . . . . 762--772 J. Letessier and G. Valent The Generating Function Method for Quadratic Asymptotically Symmetric Birth and Death Processes . . . . . . . . . . 773--783 Peter H. Sellers Combinatorial Classification of Chemical Mechanisms . . . . . . . . . . . . . . . 784--792 Ludwig Arnold A Formula Connecting Sample and Moment Stability of Linear Stochastic Systems 793--802 N. Hamada and B. D. O. Anderson The Unit Circle Cauchy Index: Definition, Characterization and Polynomial Zero Distribution . . . . . . 803--818 Jorge L. C. Sanz and Thomas S. Huang Continuation Techniques for a Certain Class of Analytic Functions . . . . . . 819--838 Richard Cowan A Model for Random Packing of Disks in the Neighbourhood of One Disk . . . . . 839--853 Konanur G. Janardan Moments of Certain Series Distributions and Their Applications . . . . . . . . . 854--868 Michael Pinedo and Richard Weber Inequalities and Bounds in Stochastic Shop Scheduling . . . . . . . . . . . . 869--879
Mohammad B. Dadfar and James Geer and Carl M. Andersen Perturbation Analysis of the Limit Cycle of the Free Van Der Pol Equation . . . . 881--895 Peter A. Markowich A Singular Perturbation Analysis of the Fundamental Semiconductor Device Equations . . . . . . . . . . . . . . . 896--928 Teruhiko Kida A New Perturbation Approach to the Laminar Fluid Flow Behind a Two-Dimensional Solid Body . . . . . . . 929--951 John P. Boyd Cnoidal Waves as Exact Sums of Repeated Solitary Waves: New Series for Elliptic Functions . . . . . . . . . . . . . . . 952--955 W. F. Tseng and S. P. Lin Theory of a Heat Sensing Velocimeter . . 956--968 David L. Clements and D. L. Hill and C. Rogers and J. Mazumdar On Some Boundary Value Problems in Anisotropic Inhomogeneous Thermostatics and Elastostatics . . . . . . . . . . . 969--981 A. van Harten and A. K. Kapila and B. J. Matkowsky Acoustic Coupling of Flames . . . . . . 982--995 David Colton and Rembert Reemtsen The Numerical Solution of the Inverse Stefan Problem in Two Space Variables 996--1013 P.-C. G. Vassiliou and N. Tsantas Maintainability of Structures in Nonhomogeneous Markov Systems Under Cyclic Behavior and Input Control . . . 1014--1022 Mohsen Pourahmadi On Minimality and Interpolation of Harmonizable Stable Processes . . . . . 1023--1030 Stuart P. Lloyd Optimal Dual Output Extended Hydrophone 1031--1040 L. Flatto and S. Hahn Two parallel queues created by arrivals with two demands. I . . . . . . . . . . 1041--1053 M. D. Hendy and C. H. C. Little and David Penny Comparing Trees with Pendant Vertices Labelled . . . . . . . . . . . . . . . . 1054--1065
Reinhard Illner and Michael C. Reed Decay to Equilibrium for the Carleman Model in a Box . . . . . . . . . . . . . 1067--1075 P. L. Mills and M. P. Dudukovi\'c Solution of Mixed Boundary Value Problems by Integral Equations and Methods of Weighted Residuals with Application to Heat Conduction and Diffusion-Reaction Systems . . . . . . . 1076--1091 Knut S. Eckhoff On Dispersion for Linear Waves in Nonuniform Media . . . . . . . . . . . . 1092--1105 N. I. Ioakimidis A Remark on Singular Integral Equations with Generalized Kernels . . . . . . . . 1106--1111 Chris Cosner and A. C. Lazer Stable Coexistence States in the Volterra--Lotka Competition Model with Diffusion . . . . . . . . . . . . . . . 1112--1132 G. B. Ermentrout and S. P. Hastings and W. C. Troy Large Amplitude Stationary Waves in an Excitable Lateral-Inhibitory Medium . . 1133--1149 Yakov Ben-Haim and Natan Shenhav The Measurement of Spatially Random Phenomena . . . . . . . . . . . . . . . 1150--1163 O. E. Percus and J. K. Percus On the Bechhofer--Kulkarni Stopping Rule for Sequential Clinical Trials . . . . . 1164--1175 R. Katzur and B. Z. Bobrovsky and Z. Schuss Asymptotic Analysis of the Optimal Filtering Problem for One-Dimensional Diffusions Measured in a Low Noise Channel, Part II . . . . . . . . . . . . 1176--1191 Ning Mao Xia and William E. Boyce The Density Function of the Solution of a Random Initial Value Problem Containing Small Stochastic Processes 1192--1209 Wen Yuan Xu and Christodoulos Chamzas On the Periodic Discrete Prolate Spheroidal Sequences . . . . . . . . . . 1210--1217 D. C. Stickler Application of the Trace Method for Inverse Scattering to a Medium which Supports $ {N} $ Types of Waves . . . . 1218--1225 D. R. Jensen Ordering Ellipsoidal Measures: Scale and Peakedness Orderings . . . . . . . . . . 1226--1231 H. J. Landau and B. F. Logan and L. A. Shepp and N. Bauman Diffusion, Cell Mobility, and Bandlimited Functions . . . . . . . . . 1232--1245 Thomas S. Angell and Ralph E. Kleinman A Galerkin Procedure for Optimization in Radiation Problems . . . . . . . . . . . 1246--1257 R. N. Bhattacharya and Vijay K. Gupta Acknowledgment of Priority: ``On the Taylor--Aris theory of solute transport in a capillary'' [SIAM J. Appl. Math. \bf 44 (1984), no. 1, 33--39, MR 85d:82114] . . . . . . . . . . . . . . . 1258--1258
Wiktor Eckhaus and Aart Van Harten and Zbigniew Peradzynski A Singularly Perturbed Free Boundary Problem Describing a Laser Sustained Plasma . . . . . . . . . . . . . . . . . 1--31 Michael Prüfer Turbulence in Multistep Methods for Initial Value Problems . . . . . . . . . 32--69 Carol L. McTaggart and K. A. Lindsay Nonclassical Effects in the Bénard Problem . . . . . . . . . . . . . . . . 70--92 Stephen B. Margolis and Bernard J. Matkowsky Flame Propagation in Channels: Secondary Bifurcation to Quasi-Periodic Pulsations 93--129 T. L. Jackson and A. K. Kapila Shock-Induced Thermal Runaway . . . . . 130--137 G. J. Butler and G. S. K. Wolkowicz A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake . . . . . . . 138--151 J. A. Morrison Response-Time Distribution for a Processor-Sharing System . . . . . . . . 152--167 L. Flatto and S. Hahn Erratum: ``Two parallel queues created by arrivals with two demands. I'' [SIAM J. Appl. Math. \bf 44 (1984), no. 5, 1041--1053] . . . . . . . . . . . . . . 168--168
James B. Grotberg and Edward L. Reiss Secondary Bifurcation of Quasi-Periodic Solutions Can Lead to Period Multiplication . . . . . . . . . . . . . 169--174 Charles G. Lange and Gregory A. Kriegsmann Bifurcation Analysis of Nonlinear Turning Point Problems . . . . . . . . . 175--199 Michael I. Weinstein and Joseph B. Keller Hill's Equation with a Large Potential 200--214 Chee-Seng Lim Coupled Quasiisotropic Systems . . . . . 215--255 K. E. Swick Some Reducible Models of Age Dependent Dynamics . . . . . . . . . . . . . . . . 256--267 Michael A. Cohen and Daniel S. Levine Unbounded Oscillatory Solutions for a System of Interacting Populations . . . 268--279 Donald St. P. Richards Applications of Invariant Differential Operators to Multivariate Distribution Theory . . . . . . . . . . . . . . . . . 280--288 C. I. Christov and K. Z. Markov Stochastic Functional Expansion for Random Media with Perfectly Disordered Constitution . . . . . . . . . . . . . . 289--311 Alfred M. Bruckstein and Bernard C. Levy and Thomas Kailath Differential Methods in Inverse Scattering . . . . . . . . . . . . . . . 312--335 John A. Fawcett Inversion of $ {N} $-Dimensional Spherical Averages . . . . . . . . . . . 336--341
P. R. Sethna and K. R. Meyer and A. K. Bajaj On the Method of Averaging, Integral Manifolds and Systems with Symmetry . . 343--359 A. M. Lenhoff Computation of the Eigenvalues of a Class of Non-Self-Adjoint Operators . . 360--368 Alfred S. Carasso and Nelson N. Hsu Probe Waveforms and Deconvolution in the Experimental Determination of Elastic Green's Functions . . . . . . . . . . . 369--382 A. Katz and Z. Schuss Reliability of Elastic Structures Driven by Random Loads . . . . . . . . . . . . 383--402 I. Rubinstein Asymptotics of Propagating Front Formation in Diffusion Kinetics . . . . 403--419 G. Joulin and A. Liñán and G. S. S. Ludford and N. Peters and C. Schmidt-Lainé Flames with Chain-Branching/Chain-Breaking Kinetics 420--434 G. J. Butler and S. B. Hsu and Paul Waltman A Mathematical Model of the Chemostat with Periodic Washout Rate . . . . . . . 435--449 Randall J. LeVeque and Charles S. Peskin and Peter D. Lax Solution of a Two-Dimensional Cochlea Model Using Transform Techniques . . . . 450--464 Peter N. Brown Decay to Uniform States in Predator-Prey Chains . . . . . . . . . . . . . . . . . 465--478 M. J. Goovaerts and F. Broeckx Analytical Treatment of a Periodic $ \delta $-Function Potential in the Path-Integral Formalism . . . . . . . . 479--490 John Fawcett and H. B. Keller Three-Dimensional Ray Tracing and Geophysical Inversion in Layered Media 491--501
J. Peláez and A. Li nán Structure and Stability of Flames with Two Sequential Reactions . . . . . . . . 503--522 Kenneth B. Hannsgen and John J. Tyson and Layne T. Watson Steady-State Size Distributions in Probabilistic Models of the Cell Division Cycle . . . . . . . . . . . . . 523--540 Paul E. Phillipson and Peter Schuster and Roger G. Johnston An Analytic Study of the May--Leonard Equations . . . . . . . . . . . . . . . 541--554 Jean Coste Dynamical Regression in Many Species Ecosystems: The Case of Many Predators Competing for Several Preys . . . . . . 555--564 Joseph W. Jerome Consistency of Semiconductor Modeling: An Existence/Stability Analysis for the Stationary van Roosbroeck System . . . . 565--590 A. H. Zemanian Operator-Valued Transmission Lines in the Analysis of Two-Dimensional Anomalies Imbedded in a Horizontally Layered Earth Under Transient Polarized Electromagnetic Excitation . . . . . . . 591--620 Ora E. Percus and Jerome K. Percus Probability Bounds on the Sum of Independent Nonidentically Distributed Binomial Random Variables . . . . . . . 621--640 Ph. Delsarte and A. J. E. M. Janssen and L. B. Vries Discrete Prolate Spheroidal Wave Functions and Interpolation . . . . . . 641--650 Jorge L. C. Sanz Mathematical Considerations for the Problem of Fourier Transform Phase Retrieval from Magnitude . . . . . . . . 651--664 David V. Finch Cone Beam Reconstruction with Sources on a Curve . . . . . . . . . . . . . . . . 665--673 F. E. Udwadia Some Uniqueness Results Related to Soil and Building Structural Identification 674--685
Charles G. Lange and Robert M. Miura Singular perturbation analysis of boundary value problems for differential-difference equations. II. Rapid oscillations and resonances . . . 687--707 Charles G. Lange and Robert M. Miura Singular perturbation analysis of boundary value problems for differential-difference equations. III. Turning point problems . . . . . . . . . 708--734 John K. Hunter A Ray Method for Slowly Modulated Nonlinear Waves . . . . . . . . . . . . 735--749 Kenjiro Maginu Geometrical Characteristics Associated with Stability and Bifurcations of Periodic Travelling Waves in Reaction-Diffusion Systems . . . . . . . 750--774 Isom H. Herron Exchange of stabilities for Görtler flow 775--779 D. W. McLaughlin and G. C. Papanicolaou and O. R. Pironneau Convection of Microstructure and Related Problems . . . . . . . . . . . . . . . . 780--797 John R. Cannon and James C. Cavendish and Antonio Fasano A Free Boundary-Value Problem Related to the Combustion of a Solid . . . . . . . 798--809 David Sankoff Simultaneous Solution of the RNA Folding, Alignment and Protosequence Problems . . . . . . . . . . . . . . . . 810--825 P. S. Hagan and R. S. Polizzotti and G. Luckman The Effects of Surface Poisons on the Oxidation of Binary Alloys . . . . . . . 826--842 Z. Schuss and C. Tier and B. J. Matkowsky Frequency Fluctuations in Noisy Oscillators . . . . . . . . . . . . . . 843--854 Dan Trietsch Augmenting Euclidean Networks --- The Steiner Case . . . . . . . . . . . . . . 855--860 Leopold Flatto Two parallel queues created by arrivals with two demands. II . . . . . . . . . . 861--878
D. Roose and V. Hlavacek A Direct Method for the Computation of Hopf Bifurcation Points . . . . . . . . 879--894 Gerhard Dangelmayr and Ian Stewart Sequential Bifurcations in Continuous Stirred Tank Chemical Reactors Coupled in Series . . . . . . . . . . . . . . . 895--918 Richard Haberman and Darrell Allgaier Slowly Varying Solitary Wave Tails: Focusing, Cusped Caustics, Wave Number Shocks and Birth of Tails . . . . . . . 919--927 A. K. Pramanik and S. R. Majumdar Transient Development of Gravity Waves on a Sloping Beach . . . . . . . . . . . 928--942 W. L. Kath and J. D. Murray Analysis of a Model Biological Switch 943--955 P. S. Hagan and R. S. Polizzotti and G. Luckman Internal Oxidation of Binary Alloys . . 956--971 C. Kipnis and C. M. Newman The Metastable Behavior of Infrequently Observed, Weakly Random, One-Dimensional Diffusion Processes . . . . . . . . . . 972--982 Satish Iyengar Hitting Lines with Two-Dimensional Brownian Motion . . . . . . . . . . . . 983--989 Renato Spigler A Stochastic Model for Nonlinear Oscillators of Duffing Type . . . . . . 990--1005 C. Knessl and B. J. Matkowsky and Z. Schuss and C. Tier An Asymptotic Theory of Large Deviations for Markov Jump Processes . . . . . . . 1006--1028 Alfred S. Carasso and Nelson N. Hsu $ {L}^\infty $ Error Bounds in Partial Deconvolution of the Inverse Gaussian Pulse . . . . . . . . . . . . . . . . . 1029--1038 David Colton and Peter Monk A Novel Method for Solving the Inverse Scattering Problem for Time-Harmonic Acoustic Waves in the Resonance Region 1039--1053 A. Katz and Z. Schuss Erratum: ``Reliability of Elastic Structures Driven by Random Loads'' [SIAM J. Appl. Math. \bf 45 (1985), no. 3, 383--402, MR 86j:73076] . . . . . . . 1054--1054
Thomas Erneux and Paul Mandel Imperfect Bifurcation with a Slowly-Varying Control Parameter . . . . 1--15 Richard Haberman Note on the Initial Formation of Shocks 16--19 S. D. Howison Cusp Development in Hele--Shaw Flow with a Free Surface . . . . . . . . . . . . . 20--26 L. Pamela Cook and F. J. Zeigler The Stabilization Law for Transonic Flow 27--48 R. Mauri and S. Haber Applications of Wiener's Path Integral for the Diffusion of Brownian Particles in Shear Flows . . . . . . . . . . . . . 49--55 D. W. Storti and R. H. Rand Dynamics of Two Strongly Coupled Relaxation Oscillators . . . . . . . . . 56--67 Nancy Kopell and David Ruelle Bounds on Complexity in Reaction-Diffusion Systems . . . . . . . 68--80 Anthony W. Leung and Boualem Bendjilali $ {N} $ Species Competition for a Spatially Heterogeneous Prey with Neumann Boundary Conditions: Steady States and Stability . . . . . . . . . . 81--98 M. \.Idemen and T. \cSengör High-Frequency Surface Currents Induced on a Spherical Cap . . . . . . . . . . . 99--117 R. W. R. Darling and Michael S. Waterman Extreme Value Distribution for the Largest Cube in a Random Lattice . . . . 118--132 A. D. Rawlins Matrix Wiener--Hopf--Hilbert Factorisation . . . . . . . . . . . . . 133--139 J. A. Morrison Asymptotic Analysis of the Waiting-Time Distribution for a Large Closed Processor-Sharing System . . . . . . . . 140--170
W. E. Olmstead and S. H. Davis and S. Rosenblat and W. L. Kath Bifurcation with Memory . . . . . . . . 171--188 Son Tu and Edward L. Reiss Minimum Transition Values and the Dynamics of Subcritical Bifurcation . . 189--198 J. C. Alexander Patterns at Primary Hopf Bifurcations of a Plexus of Identical Oscillators . . . 199--221 M. I. Fre\u\idlin Geometric Optics Approach to Reaction-Diffusion Equations . . . . . . 222--232 G. B. Ermentrout and N. Kopell Parabolic Bursting in an Excitable System Coupled with a Slow Oscillation 233--253 L. N. Tao A Method for Solving Moving Boundary Problems . . . . . . . . . . . . . . . . 254--264 M. M. Dygas and B. J. Matkowsky and Z. Schuss A Singular Perturbation Approach to Non-Markovian Escape Rate Problems . . . 265--298 P. L. Butzer and W. Engels and S. Ries and R. L. Stens The Shannon Sampling Series and the Reconstruction of Signals in Terms of Linear, Quadratic and Cubic Splines . . 299--323 V. N. Strakhov and M. A. Brodsky On the Uniqueness of the Inverse Logarithmic Potential Problem . . . . . 324--344 M. A. Brodsky On the Uniqueness of the Inverse Potential Problem for Homogeneous Polyhedrons . . . . . . . . . . . . . . 345--350
W. H. Reid and S. J. Skates On the Asymptotic Approximation of Integrals . . . . . . . . . . . . . . . 351--358 G. B. Ermentrout and W. C. Troy Phaselocking in a Reaction-Diffusion System with a Linear Frequency Gradient 359--367 Hal L. Smith On the Asymptotic Behavior of a Class of Deterministic Models of Cooperating Species . . . . . . . . . . . . . . . . 368--375 Peter N. Brown Decay to Uniform States in Food Webs . . 376--392 J. Letessier and G. Valent Dual Birth and Death Processes and Orthogonal Polynomials . . . . . . . . . 393--405 Edward J. Dudewicz and Ishwari D. Dhariyal Estimation theory of selective reporting: the best-$1$-of-$k$ report 406--416 Robert K. Goodrich and Allan Steinhardt $ {L}_2 $ Spectral Estimation . . . . . 417--426 Ludwig Arnold and George Papanicolaou and Volker Wihstutz Asymptotic Analysis of the Lyapunov Exponent and Rotation Number of the Random Oscillator and Applications . . . 427--450 Mark A. Pinsky Instability of the Harmonic Oscillator with Small Noise . . . . . . . . . . . . 451--463 Werner E. Kohler Reflection from a One-Dimensional, Totally Refracting Random Multilayer . . 464--482 C. Knessl and B. J. Matkowsky and Z. Schuss and C. Tier Asymptotic Analysis of a State-Dependent $ {M} / {G} / 1 $ Queueing System . . . 483--505 David Colton and Peter Monk A novel method for solving the inverse scattering problem for time-harmonic acoustic waves in the resonance region. II . . . . . . . . . . . . . . . . . . . 506--523
Marvin McClendon and Herschel Rabitz Variational Methods for Approximating Solutions of $ \nabla^2 u(x) = f(x) + k(x)u(x) $ and Generalizations . . . . . 525--544 John Miles A note on the three-particle lattice and the Hénon-Heiles problem . . . . . . . . 545--551 H. I. Freedman and V. Sree Hari Rao Stability Criteria for a System Involving Two Time Delays . . . . . . . 552--560 B. Deshaies and G. Joulin Radiative Transfer as a Propagation Mechanism for Rich Flames of Reactive Suspensions . . . . . . . . . . . . . . 561--581 D. S. Stewart and J. Buckmaster The stability of Liñán's ``premixed flame regime'' revisited . . . . . . . . . . . 582--587 G. Auchmuty and J. Chadam and E. Merino and P. Ortoleva and E. Ripley The Structure and Stability of Propagating Redox Fronts . . . . . . . . 588--604 Patrick S. Hagan Uptake Curves for Fickian Diffusion . . 605--613 C. L. Frenzen and J. D. Murray A Cell Kinetics Justification for Gompertz' Equation . . . . . . . . . . . 614--629 E. D. Conway and J. A. Smoller Global Analysis of a System of Predator-Prey Equations . . . . . . . . 630--642 P. A. Jacobs First Passage Times for Combinations of Random Loads . . . . . . . . . . . . . . 643--656 C. Knessl and B. J. Matkowsky and Z. Schuss and C. Tier On the Performance of State-Dependent Single Server Queues . . . . . . . . . . 657--697 Luc Devroye An Automatic Method for Generating Random Variates with a Given Characteristic Function . . . . . . . . 698--719
S. M. Baer and T. Erneux Singular Hopf Bifurcation to Relaxation Oscillations . . . . . . . . . . . . . . 721--739 David R. Dellwo A Constructive Theory of Isolas Supported by Parabolic Cusps, Centers and Bifurcation Points . . . . . . . . . 740--764 Edward A. Overman, II Steady-state solutions of the Euler equations in two dimensions. II. Local analysis of limiting $ {V} $-states . . 765--800 Michael R. Booty and Stephen B. Margolis and Bernard J. Matkowsky Interaction of Pulsating and Spinning Waves in Condensed Phase Combustion . . 801--843 Jonathan Bell and Chris Cosner Threshold Conditions for Two Diffusion Models Suggested by Nerve Impulse Conduction . . . . . . . . . . . . . . . 844--855 Hal L. Smith Competing Subcommunities of Mutualists and a Generalized Kamke Theorem . . . . 856--874 C. W. Li and G. L. Blankenship Almost Sure Stability of Linear Stochastic Systems with Poisson Process Coefficients . . . . . . . . . . . . . . 875--911 Arie Hordijk and Frank A. van der Duyn Schouten On the Optimality of $ (s, {S}) $-Policies in Continuous Review Inventory Models . . . . . . . . . . . . 912--929 Dale H. Mugler and W. Splettstösser Difference Methods for the Prediction of Band-Limited Signals . . . . . . . . . . 930--941
Abdul-Majid Wazwaz and Floyd B. Hanson Matched Uniform Approximations for a Singular Boundary Point and an Interior Turning Point . . . . . . . . . . . . . 943--961 Abdul-Majid Wazwaz and Floyd B. Hanson Singular Boundary Resonance with Turning Point Resonance . . . . . . . . . . . . 962--977 C. Hunter and Sang Myung Lee The Analytic Structure of Oseen Flow Past a Sphere as a Function of Reynolds Number . . . . . . . . . . . . . . . . . 978--999 John B. Bell and John A. Trangenstein and Gregory R. Shubin Conservation Laws of Mixed Type Describing Three-Phase Flow in Porous Media . . . . . . . . . . . . . . . . . 1000--1017 Jacob Rubinstein and Roberto Mauri Dispersion and Convection in Periodic Porous Media . . . . . . . . . . . . . . 1018--1023 I. Rubinstein Counterion Condensation as an Exact Limiting Property of Solutions of the Poisson--Boltzmann Equation . . . . . . 1024--1038 James P. Keener A Geometrical Theory for Spiral Waves in Excitable Media . . . . . . . . . . . . 1039--1056 Steven R. Dunbar Traveling Waves in Diffusive Predator-Prey Equations: Periodic Orbits and Point-to-Periodic Heteroclinic Orbits . . . . . . . . . . . . . . . . . 1057--1078 John A. Feroe Existence of Traveling Wave Trains in Nerve Axon Equations . . . . . . . . . . 1079--1097 Jean Picard Nonlinear Filtering of One-Dimensional Diffusions in the Case of a High Signal-to-Noise Ratio . . . . . . . . . 1098--1125 A. H. Zemanian and T. S. Zemanian Domain Contractions Around Three-Dimensional Anomalies in Spherical Finite-Difference Computations of Poisson's Equation . . . . . . . . . . . 1126--1149
J. S. Angell and W. E. Olmstead Singularly Perturbed Volterra Integral Equations . . . . . . . . . . . . . . . 1--14 N. Sri Namachchivaya and S. T. Ariaratnam Periodically Perturbed Hopf Bifurcation 15--39 Thomas J. Bridges On the Secondary Bifurcation of Three-Dimensional Standing Waves . . . . 40--59 J. G. Byatt-Smith $ 2 \pi $ Periodic Solutions of Duffing's Equation with Negative Stiffness . . . . . . . . . . . . . . . 60--91 J. M. Sanz-Serna and F. Vadillo Studies in numerical nonlinear instability. III. Augmented Hamiltonian systems . . . . . . . . . . . . . . . . 92--108 A. K. Gautesen and J. Dundurs On the Solution to a Cauchy Principal Value Integral Equation Which Arises in Fracture Mechanics . . . . . . . . . . . 109--116 C. P. Please and A. A. Wheeler and P. Wilmott A Mathematical Model of Cliff Blasting 117--127 Ovide Arino and Marek Kimmel Asymptotic Analysis of a Cell Cycle Model Based on Unequal Division . . . . 128--145 R. Burridge and G. Papanicolaou and B. White Statistics for Pulse Reflection from a Randomly Layered Medium . . . . . . . . 146--168 H. J. Kushner Asymptotic global behavior for stochastic approximation and diffusions with slowly decreasing noise effects: global minimization via Monte Carlo . . 169--185 Bennett L. Fox and Peter W. Glynn Estimating Time Averages Via Randomly-Spaced Observations . . . . . . 186--200 Avner Friedman Detection of Mines by Electric Measurements . . . . . . . . . . . . . . 201--212 Boris Pittel On Spreading a Rumor . . . . . . . . . . 213--223
L. A. Skinner Uniform Solution of Boundary Layer Problems Exhibiting Resonance . . . . . 225--231 Fathi M. A. Salam The Mel\cprimenikov Technique for Highly Dissipative Systems . . . . . . . . . . 232--243 Whei-Ching C. Chan Stability of Subharmonic Solutions . . . 244--253 Randall J. LeVeque On the Interaction of Nearly Equal Solitons in the KdV Equation . . . . . . 254--262 Peter J. Olver and Philip Rosenau Group-Invariant Solutions of Differential Equations . . . . . . . . . 263--278 Yue-Kuen Kwok and Lawrence Sirovich On Some Aspects of the Transonic Controversy . . . . . . . . . . . . . . 279--295 P. Clavin and P. Fife and B. Nicolaenko Multiplicity and Related Phenomena in Competing Reaction Flames . . . . . . . 296--331 D. Glenn Lasseigne and W. E. Olmstead Ignition of a Combustible Solid with Reactant Consumption . . . . . . . . . . 332--342 Charles F. Dunkl Orthogonal Polynomials on the Hexagon 343--351 Chung Ju Chang and Jin Fu Chang The Effect of Routing and Buffer Sharing on the Behavior of a Finite Queue with Batch Poisson Inputs and Synchronous Servers . . . . . . . . . . . . . . . . 352--366 C. Knessl and B. J. Matkowsky and Z. Schuss and C. Tier The Two Repairmen Problem: A Finite Source $ {M} / {G} / 2 $ Queue . . . . . 367--397 J. A. Morrison The Minimum of Gaps Generated by Random Packing of Unit Intervals into a Large Interval . . . . . . . . . . . . . . . . 398--410 K. G. Janardan Weighted Lagrange Distributions and Their Characterizations . . . . . . . . 411--415 Melvin D. Springer Evaluation of the $ {H} $-Function Inversion Integral for Real Variables Using Jordan's Lemma and Residues . . . 416--424 Edward R. Dougherty and Charles R. Giardina Error Bounds for Morphologically Derived Measurements . . . . . . . . . . . . . . 425--440 Peter Hall On the Processing of a Motion-Blurred Image . . . . . . . . . . . . . . . . . 441--453 Stanley Kogelman and Joseph B. Keller Addendum: ``Asymptotic Theory of Nonlinear Wave Propagation'' [SIAM J. Appl. Math. \bf 24 (1973), no. 3, 352--361, MR \bf 47 #5412] . . . . . . . 454--454
L. Gardini and R. Lupini and C. Mammana and M. G. Messia Bifurcations and Transitions to Chaos in the Three-Dimensional Lotka--Volterra Map . . . . . . . . . . . . . . . . . . 455--482 C. Hunter Oscillations in the Coefficients of Power Series . . . . . . . . . . . . . . 483--497 H. E. Nusse Asymptotically Periodic Behaviour in the Dynamics of Chaotic Mappings . . . . . . 498--515 Thomas I. Vogel Stability of a Liquid Drop Trapped Between Two Parallel Planes . . . . . . 516--525 Ke-Gang Shih On the Existence of Solutions of an Equation Arising in the Theory of Laminar Flow in a Uniformly Porous Channel with Injection . . . . . . . . . 526--533 Jonathan Bell and Chris Cosner Wave-Like Solutions to Reaction-Diffusion Equations on a Cylinder: Dependence on Cylinder Width 534--543 Hans G. Kaper and G. K. Leaf and B. J. Matkowsky and W. E. Olmstead Dynamics of Nonadiabatic Premixed Flames in a Gravitational Field . . . . . . . . 544--555 James P. Keener Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells . . 556--572 Ann M. Castelfranco and Harlan W. Stech Periodic Solutions in a Model of Recurrent Neural Feedback . . . . . . . 573--588 Evelyn Weinstock and Chris Rorres Local Stability of an Age-Structured Population with Density-Dependent Fertility and Mortality . . . . . . . . 589--604 Richard Barshinger and James Geer The Electrostatic Field About a Slender Dielectric Body . . . . . . . . . . . . 605--623 Christian Ringhofer An Asymptotic Analysis of a Transient $p$-$n$-Junction Model . . . . . . . . . 624--642 P. Dupuis and H. J. Kushner Stochastic Systems with Small Noise, Analysis and Simulation; A Phase Locked Loop Example . . . . . . . . . . . . . . 643--661 T. S. Chihara On the Spectra of Certain Birth and Death Processes . . . . . . . . . . . . 662--669 James P. Butler and James A. Reeds Stereology of Dihedral Angles I: First Two Moments . . . . . . . . . . . . . . 670--677 James A. Reeds and James P. Butler Stereology of dihedral angles. II. Distribution function . . . . . . . . . 678--687
Henry Power and Guillermo Miranda Second Kind Integral Equation Formulation of Stokes' Flows Past a Particle of Arbitrary Shape . . . . . . 689--698 M. Y. Hussaini and W. D. Lakin and A. Nachman On Similarity Solutions of a Boundary Layer Problem with an Upstream Moving Wall . . . . . . . . . . . . . . . . . . 699--709 Björn Birnir An Example of Blow-up, for the Complex KdV Equation and Existence Beyond the Blow-up . . . . . . . . . . . . . . . . 710--725 Gary H. Ganser and Donald A. Drew Nonlinear Periodic Waves in a Two-Phase Flow Model . . . . . . . . . . . . . . . 726--736 Mohammad B. Dadfar and James F. Geer Power Series Solution to a Simple Pendulum with Oscillating Support . . . 737--750 Goong Chen and Matthew Coleman and Harry H. West Pointwise Stabilization in the Middle of the Span for Second Order Systems, Nonuniform and Uniform Exponential Decay of Solutions . . . . . . . . . . . . . . 751--780 J. Peláez Stability of Premixed Flames with Two Thin Reaction Layers . . . . . . . . . . 781--799 Roger Arditi and Bernard Dacorogna Optimal Foraging in Nonpatchy Habitats. 2: Unbounded One-Dimensional Habitat . . 800--821 Ora E. Percus and Jerome K. Percus Piecewise Homogeneous Random Walk With a Moving Boundary . . . . . . . . . . . . 822--830 Konstantin Z. Markov Application of Volterra--Wiener series for bounding the overall conductivity of heterogeneous media. I. General procedure . . . . . . . . . . . . . . . 831--849 Konstantin Z. Markov Application of Volterra--Wiener series for bounding the overall conductivity of heterogeneous media. II. Suspensions of equi-sized spheres . . . . . . . . . . . 850--870 Jian Zhong Zhang and Patrick L. Brockett Quadratically Constrained Information Theoretic Analysis . . . . . . . . . . . 871--885 E. M. Cabaña Affine Processes: A Test of Isotropy Based on Level Sets . . . . . . . . . . 886--891 Alfred S. Carasso Infinitely Divisible Pulses, Continuous Deconvolution, and the Characterization of Linear Time Invariant Systems . . . . 892--927
David E. Gilsinn Asymptotic Approximations of Integral Manifolds . . . . . . . . . . . . . . . 929--940 Michael I. Weinstein and Joseph B. Keller Asymptotic Behavior of Stability Regions for Hill's Equation . . . . . . . . . . 941--958 Paul K. Newton and Joseph B. Keller Stability of Periodic Plane Waves . . . 959--964 Ulf Torsten Ehrenmark Far Field Asymptotics of the Two-Dimensional Linearised Sloping Beach Problem . . . . . . . . . . . . . . . . 965--981 Sinnathurai Vijayakumar and Donald E. Cormack Green's Functions for the Biharmonic Equation: Bonded Elastic Media . . . . . 982--997 Guy Joulin Preferential Diffusion and the Initiation of Lean Flames of Light Fuels 998--1016 Andrew Majda and Rodolfo R. Rosales Nonlinear Mean Field-High Frequency Wave Interactions in the Induction Zone . . . 1017--1039 J. H. Merkin and D. J. Needham and S. K. Scott On the Creation, Growth and Extinction of Oscillatory Solutions for a Simple Pooled Chemical Reaction Scheme . . . . 1040--1060 Michael Shapiro and Howard Brenner Convection and Diffusion Accompanied by Bulk and Surface Chemical Reactions in Time-Periodic One-Dimensional Flows . . 1061--1075 I. Rubinstein Multiple Steady States in One-Dimensional Electrodiffusion with Local Electroneutrality . . . . . . . . 1076--1093 Y. K. Leong Stochastic Approach to Matrices . . . . 1094--1102 Ora E. Percus and Jerome K. Percus One-Dimensional Random Walk in Alternating Homogeneous Domains . . . . 1103--1111 Kristian Seip An Irregular Sampling Theorem for Functions Bandlimited in a Generalized Sense . . . . . . . . . . . . . . . . . 1112--1116 John A. Morrison Conditioned Response-Time Distribution for a Large Closed Processor-Sharing System in Very Heavy Usage . . . . . . . 1117--1129 A. A. Rayner and R. M. Pringle Errata: ``Some Aspects of the Solution of Singular Normal Equations with the Use of Linear Restrictions'' [SIAM J. Appl. Math. \bf 31 (1976), no. 3, 449--460, MR \bf 55 #6819] . . . . . . . 1130--1130
Herbert Steinrück Singularly Perturbed Eigenvalue Problems 1131--1149 J. S. Angell and W. E. Olmstead Singularly perturbed Volterra integral equations. II . . . . . . . . . . . . . 1150--1162 Thomas Erneux and Edward L. Reiss and J. F. Magnan and P. K. Jayakumar Nonlinear Stability Control and $ \lambda $-Bifurcation . . . . . . . . . 1163--1176 John Stensby False Lock and Bifurcation in the Phase Locked Loop . . . . . . . . . . . . . . 1177--1184 John H. Maddocks and Joseph B. Keller Ropes in Equilibrium . . . . . . . . . . 1185--1200 Alexander Sedov and Lester W. Schmerr, Jr. Pulse distortion and the elastodynamic Kirchhoff approximation for cracks. The direct and inverse problems . . . . . . 1201--1215 M. Avellaneda Optimal Bounds and Microgeometries for Elastic Two-Phase Composites . . . . . . 1216--1228 S. P. Hastings and C. Lu and Y. H. Wan Existence of a Traveling Flame Front in a Model with No Cold Boundary Difficulty 1229--1240 Michael R. Booty and Stephen B. Margolis and Bernard J. Matkowsky Interaction of Pulsating and Spinning Waves in Nonadiabatic Flame Propagation 1241--1286 P. S. Hagan and M. Herskowitz and C. Pirkle Equilibrium Temperature Profiles in Highly Sensitive Tubular Reactors . . . 1287--1305 Volker Brendel and Alan S. Perelson Kinetic Analysis of Adsorption Processes 1306--1319 Robert L. Ochs, Jr. The Limited Aperture Problem of Inverse Acoustic Scattering: Dirichlet Boundary Conditions . . . . . . . . . . . . . . . 1320--1341 Stanis\law Janeczko and Adam Kowalczyk Equivariant Singularities of Lagrangian Manifolds and Uniaxial Ferromagnet . . . 1342--1360 Jelena B. Gill and Ljiljana Petrovi\'c Causality and Stochastic Dynamic Systems 1361--1366 François Baccelli and Guy Fayolle Analysis of Models Reducible to a Class of Diffusion Processes in the Positive Quarter Plane . . . . . . . . . . . . . 1367--1385 John A. MacBain Inversion Theory for a Parameterized Diffusion Problem . . . . . . . . . . . 1386--1391
John K. Hunter Transverse Diffraction of Nonlinear Waves and Singular Rays . . . . . . . . 1--37 James C. Alexander and J. H. Maddocks On the Maneuvering of Vehicles . . . . . 38--51 David J. Wollkind and Shingmin Wang A Nonlinear Stability Analysis of a Model Equation for Liquid Phase Electro-Epitaxial Growth of a Dilute Binary Substance . . . . . . . . . . . . 52--78 George Dassios and Vassilis Kostopoulos The Scattering Amplitudes and Cross Sections in the Theory of Thermoelasticity . . . . . . . . . . . . 79--98 A. Bamberger and B. Engquist and L. Halpern and P. Joly Parabolic Wave Equation Approximations in Heterogeneous Media . . . . . . . . . 99--128 A. Bamberger and B. Engquist and L. Halpern and P. Joly Higher Order Paraxial Wave Equation Approximations in Heterogeneous Media 129--154 J. Norbury and A. M. Stuart Travelling Combustion Waves in a Porous Medium. Part I --- Existence . . . . . . 155--169 J. Hainzl Stability and Hopf Bifurcation in a Predator-Prey System with Several Parameters . . . . . . . . . . . . . . . 170--190 Randall J. Leveque and Charles S. Peskin and Peter D. Lax Solution of a Two-Dimensional Cochlea Model with Fluid Viscosity . . . . . . . 191--213 J. Letessier and G. Valent Some Integral Relations Involving Hypergeometric Functions . . . . . . . . 214--221 James Ting Ho Lo and Sze Kui Ng Characterizing Fourier Series Representation of Probability Distributions on Compact Lie Groups . . 222--228
Pei Yu and K. Huseyin Bifurcations Associated with a Double Zero and a Pair of Pure Imaginary Eigenvalues . . . . . . . . . . . . . . 229--261 Stephen Wiggins On the Detection and Dynamical Consequences of Orbits Homoclinic to Hyperbolic Periodic Orbits and Normally Hyperbolic Invariant Tori in a Class of Ordinary Differential Equations . . . . 262--285 P. Hillion Remark on a System of Two Nonlinear Differential Equations . . . . . . . . . 286--293 A. K. Gautesen On the Asymptotic Solution to a Class of Linear Integral Equations . . . . . . . 294--306 R. E. Kleinman and P. A. Martin On Single Integral Equations for the Transmission Problem of Acoustics . . . 307--325 Lim Chee-Seng A Class of Problems of Pulsatory Radiation from a Travelling Source Distribution . . . . . . . . . . . . . . 326--352 Prabir Daripa and James Glimm and Brent Lindquist and Oliver McBryan Polymer Floods: A Case Study of Nonlinear Wave Analysis and of Instability Control in Tertiary Oil Recovery . . . . . . . . . . . . . . . . 353--373 J. Norbury and A. M. Stuart Travelling Combustion Waves in a Porous Medium. Part II --- Stability . . . . . 374--392 A. K. Gautesen The Effective Conductivity of a Composite Material with a Periodic Rectangular Geometry . . . . . . . . . . 393--404 J. R. King Interacting Dopant Diffusions in Crystalline Silicon . . . . . . . . . . 405--415 V. I. Kogan Polynomial Models of Generalized Bathtub Curves and Related Moments of the Order Statistics . . . . . . . . . . . . . . . 416--424 M. M. K\losek-Dygas and B. J. Matkowsky and Z. Schuss Colored Noise in Dynamical Systems . . . 425--441 É. Pardoux and V. Wihstutz Lyapunov Exponent and Rotation Number of Two-Dimensional Linear Stochastic Systems with Small Diffusion . . . . . . 442--457 Robert K. Goodrich and Ranjit M. Passi Characterization of the Weights of Least Squares Adaptive Polynomials . . . . . . 458--464 Roland Malhamé and Chee-Yee Chong On the Statistical Properties of a Cyclic Diffusion Process Arising in the Modeling of Thermostat-Controlled Electric Power System Loads . . . . . . 465--480
Pierre Joyal Generalized Hopf Bifurcation and Its Dual Generalized Homoclinic Bifurcation 481--496 John V. Baxley A Singular Nonlinear Boundary Value Problem: Membrane Response of a Spherical Cap . . . . . . . . . . . . . 497--505 G. Caginalp and P. C. Fife Dynamics of Layered Interfaces Arising from Phase Boundaries . . . . . . . . . 506--518 M. R. Booty and M. Matalon and B. J. Matkowsky A Nonlinear Wave Equation in Nonadiabatic Flame Propagation . . . . . 519--535 Dirk Meinköhn Disappearance of Criticality in Nonuniform Systems I --- An Analytically Closed Representation of the Phenomenon 536--548 Susan L. Tucker and Stuart O. Zimmerman A Nonlinear Model of Population Dynamics Containing an Arbitrary Number of Continuous Structure Variables . . . . . 549--591 G. S. K. Wolkowicz Bifurcation Analysis of a Predator-Prey System Involving Group Defence . . . . . 592--606 E. Beretta and F. Solimano A Generalization of Volterra Models with Continuous Time Delay in Population Dynamics: Boundedness and Global Asymptotic Stability . . . . . . . . . . 607--626 E. Beretta and Y. Takeuchi Global Asymptotic Stability of Lotka--Volterra Diffusion Models with Continuous Time Delay . . . . . . . . . 627--651 Werner E. Kohler Reflection from a One-Dimensional, Totally Refracting Random Multilayer II --- Internal Field Statistics . . . . . 652--661 Igor Rychlik Rain-Flow-Cycle Distribution for Ergodic Load Processes . . . . . . . . . . . . . 662--679 Gilbert G. Walter A finite continuous Gegenbauer transform and its inverse. II . . . . . . . . . . 680--688 G. P. Bava and G. Ghione and I. Maio Fast Exact Inversion of the Generalized Zakharov--Shabat Problem for Rational Scattering Data: Application to the Synthesis of Optical Couplers . . . . . 689--702 Mithat \.Idemen and Ibrahim Akduman Some Geometrical Inverse Problems Connected with Two-Dimensional Static Fields . . . . . . . . . . . . . . . . . 703--718
W. T. van Horssen and A. H. P. van der Burgh On initial boundary value problems for weakly semilinear telegraph equations. Asymptotic theory and application . . . 719--736 F. Jay Bourland and Richard Haberman The Modulated Phase Shift for Strongly Nonlinear, Slowly Varying, and Weakly Damped Oscillators . . . . . . . . . . . 737--748 P. Metzener and S. H. Davis Bifurcations of Convection States in Toroidal Shells . . . . . . . . . . . . 749--769 Irwin S. Goldberg and Robert T. Folk Solutions for Steady and Nonsteady Entrance Flow in a Semi-Infinite Circular Tube at Very Low Reynolds Numbers . . . . . . . . . . . . . . . . 770--791 Dirk Meinköhn Disappearance of criticality in nonuniform systems. II. A general investigation by upper and lower bounds 792--807 Jerry F. Magnan and Edward L. Reiss Rotating Thermal Convection: Neosteady and Neoperiodic Solutions . . . . . . . 808--827 Stephen B. Margolis and Bernard J. Matkowsky New Modes of Quasi-Periodic Combustion Near a Degenerate Hopf Bifurcation Point 828--853 Ignacio E. Parra and José M. Vega Local Nonlinear Stability of the Steady State in an Isothermal Catalyst . . . . 854--881 S. N. Busenberg and J. M. Mahaffy The Effects of Dimension and Size for a Compartmental Model of Repression . . . 882--903 Enzo Belardinelli On Infinite Product Expansion of the Arterial Longitudinal Impedance . . . . 904--916 P. S. Hagan and D. Brenner Sorption Limits with Increasing Diffusion Coefficients . . . . . . . . . 917--920 H. K. Kuiken A Note on the Wall Singularity of a Solid-Liquid Interface Caused by a Difference between the Thermal Conductivities of the Solid and the Liquid Phases . . . . . . . . . . . . . 921--924 J. G. B. Beumee and H. Rabitz On the Use of Filtering Theory for the Inversion of Temporal Chemical Systems: Mathematical Formulation . . . . . . . . 925--935 V. I. Kogan On Monotonicity of Distributions of Certain Functions of Order Statistics 936--947 H. P. W. Gottlieb Density Distribution for Isospectral Circular Membranes . . . . . . . . . . . 948--951 Bernard C. Levy and Cengiz Esmersoy Variable Background Born Inversion by Wavefield Backpropagation . . . . . . . 952--972
S. A. Berger Initial-Value Stability Analysis of a Liquid Jet . . . . . . . . . . . . . . . 973--991 E. Barta and N. Liron Slender Body Interactions for Low Reynolds Numbers --- Part I: Body-Wall Interactions . . . . . . . . . . . . . . 992--1008 E. Isaacson and D. Marchesin and B. Plohr and B. Temple The Riemann problem near a hyperbolic singularity: the classification of solutions of quadratic Riemann problems. I . . . . . . . . . . . . . . . . . . . 1009--1032 E. Bruce Pitman The Stability of Granular Flow in Converging Hoppers . . . . . . . . . . . 1033--1053 Hans G. Kaper and G. K. Leaf and B. J. Matkowsky and W. E. Olmstead Dynamics of Nearly Extinguished Nonadiabatic Premixed Flames in a Gravitational Field . . . . . . . . . . 1054--1063 P. K. Maini and J. D. Murray A Nonlinear Analysis of a Mechanical Model for Biological Pattern Formation 1064--1072 Humberto Carrillo and David Lipman The Multiple Sequence Alignment Problem in Biology . . . . . . . . . . . . . . . 1073--1082 P. S. Hagan and M. Herskowitz and C. Pirkle A Simple Approach to Highly Sensitive Tubular Reactors . . . . . . . . . . . . 1083--1101 M. L. Sturgeon Range Error Simulation in Optical Classifier Design . . . . . . . . . . . 1102--1114 M. M. K\losek-Dygas and B. J. Matkowsky and Z. Schuss Stochastic Stability of Nonlinear Oscillators . . . . . . . . . . . . . . 1115--1127 T. Chácon Rebollo Oscillations Due to the Transport of Microstructures . . . . . . . . . . . . 1128--1146 J. S. Baras and A. Bensoussan and M. R. James Dynamic Observers as Asymptotic Limits of Recursive Filters: Special Cases . . 1147--1158 Gerard Hooghiemstra and Michael Keane and Simon van de Ree Power Series for Stationary Distributions of Coupled Processor Models . . . . . . . . . . . . . . . . . 1159--1166 Paul E. Sacks The Inverse Problem for a Weakly Inhomogeneous Two-Dimensional Acoustic Medium . . . . . . . . . . . . . . . . . 1167--1193 Robert Carroll and Louise Raphael Some Inverse Problems with Spectral Limitations on Data . . . . . . . . . . 1194--1205 Benson H. Tongue and Keqin Gu A Theoretical Basis for Interpolated Cell Mapping . . . . . . . . . . . . . . 1206--1214 Peter Hall Errata: ``On the Processing of a Motion-Blurred Image'' [SIAM J. Appl. Math. \bf 47 (1987), no. 2, 441--453, MR 88d:68103] . . . . . . . . . . . . . . . 1215--1215
Adam Ciarkowski Uniform and Quasi-Uniform Asymptotic Expansions of Incomplete Diffraction Integrals . . . . . . . . . . . . . . . 1217--1226 W. T. van Horssen An Asymptotic Theory for a Class of Initial-Boundary Value Problems for Weakly Nonlinear Wave Equations with an Application to a Model of the Galloping Oscillations of Overhead Transmission Lines . . . . . . . . . . . . . . . . . 1227--1243 Peter Hafner Strong Convergent Shock Waves Near the Center of Convergence: A Power Series Solution . . . . . . . . . . . . . . . . 1244--1261 E. Barta and N. Liron Slender body interactions for low Reynolds numbers. Part II: Body-body interactions . . . . . . . . . . . . . . 1262--1280 Michael Magen Discussion of a ``new'' elliptic linear boundary condition with applications to hydrodynamics . . . . . . . . . . . . . 1281--1286 E. Isaacson and B. Temple The Riemann Problem Near a Hyperbolic Singularity II . . . . . . . . . . . . . 1287--1301 E. Isaacson and B. Temple The Riemann Problem Near a Hyperbolic Singularity III . . . . . . . . . . . . 1302--1318 Stuart S. Antman The Paradoxical Asymptotic Status of Massless Springs . . . . . . . . . . . . 1319--1334 Sinnathurai Vijayakumar and Donald E. Cormack An Invariant Imbedding Method for Singular Integral Evaluation on Finite Domains . . . . . . . . . . . . . . . . 1335--1349 F. E. Udwadia Uniqueness in the Identification of a Bending Beam Modeled by Finite Elements 1350--1361 J. Chadam and P. Ortoleva and A. Sen A Weakly Nonlinear Stability Analysis of the Reactive Infiltration Interface . . 1362--1378 Stavros Busenberg and Kenneth Cooke and Mimmo Iannelli Endemic Thresholds and Stability in a Class of Age-Structured Epidemics . . . 1379--1395 Douglas P. Hardin and Peter Taká\vc and G. F. Webb A Comparison of Dispersal Strategies for Survival of Spatially Heterogeneous Populations . . . . . . . . . . . . . . 1396--1423 A. Gerardi and G. Nappo Martingale Approach for Modeling DNA Synthesis . . . . . . . . . . . . . . . 1424--1436 P. S. Hagan and M. Herskowitz and C. Pirkle Runaway in Highly Sensitive Tubular Reactors . . . . . . . . . . . . . . . . 1437--1450 Donald S. Cohen and Thomas Erneux Free boundary problems in controlled release pharmaceuticals. I. Diffusion in glassy polymers . . . . . . . . . . . . 1451--1465 Donald S. Cohen and Thomas Erneux Free boundary problems in controlled release pharmaceuticals. II. Swelling-controlled release . . . . . . 1466--1474 I. Rubinstein Field and Force Saturation in Ionic Equilibrium . . . . . . . . . . . . . . 1475--1486 A. K. Gautesen Oblique Derivative Boundary Conditions and the Image Method for Wedges . . . . 1487--1492 J. A. Morrison Conditioned Response-Time Distribution for a Large Closed Processor-Sharing System with Multiple Classes in Very Heavy Usage . . . . . . . . . . . . . . 1493--1509 Steven R. Dunbar A Branching Random Evolution and a Nonlinear Hyperbolic Equation . . . . . 1510--1526 Hidemitsu Ogawa An Operator Pseudo-Inversion Lemma . . . 1527--1531 David J. Wollkind and Shingmin Wang Erratum: ``A Nonlinear Stability Analysis of a Model Equation for Liquid Phase Electro-Epitaxial Growth of a Dilute Binary Substance'' [SIAM J. Appl. Math. \bf 48 (1988), no. 1, 52--78, MR 89a:80001] . . . . . . . . . . . . . . . 1532--1532
Zhong-Mei Gu and N. N. Nefëdov and R. E. O'Malley, Jr. On Singular Singularly Perturbed Initial Value Problems . . . . . . . . . . . . . 1--25 Xiao-Biao Lin Shadowing Lemma and Singularly Perturbed Boundary Value Problems . . . . . . . . 26--54 S. M. Baer and T. Erneux and J. Rinzel The Slow Passage Through a Hopf Bifurcation: Delay, Memory Effects, and Resonance . . . . . . . . . . . . . . . 55--71 A. M. Stuart Singular Free Boundary Problems and Local Bifurcation Theory . . . . . . . . 72--85 R. N. Bhattacharya and V. K. Gupta and H. F. Walker Asymptotics of Solute Dispersion in Periodic Porous Media . . . . . . . . . 86--98 Arthur A. Guetter A Free Boundary Problem in Plasma Containment . . . . . . . . . . . . . . 99--115 Jacob Rubinstein and Peter Sternberg and Joseph B. Keller Fast Reaction, Slow Diffusion, and Curve Shortening . . . . . . . . . . . . . . . 116--133 F. Conrad and N. Yebari Multiple Solutions in Reaction-Diffusion Systems with a Free Boundary . . . . . . 134--151 Gerald W. Young and Stephen H. Davis Morphological Instabilities in Directional Solidification of a Binary Alloy: End Effects . . . . . . . . . . . 152--164 U. Ascher and P. A. Markowich and C. Schmeiser and H. Steinrück and R. Weiss Conditioning of the Steady State Semiconductor Device Problem . . . . . . 165--185 W. Y. Tan On the Distribution of Mutants in Cell Populations with Both Forward and Backward Mutation . . . . . . . . . . . 186--196 Stephen F. Altschul and David J. Lipman Trees, Stars, and Multiple Biological Sequence Alignment . . . . . . . . . . . 197--209 James P. Keener Frequency Dependent Decoupling of Parallel Excitable Fibers . . . . . . . 210--230 A. C. Fowler Generation and Creep of Magma in the Earth . . . . . . . . . . . . . . . . . 231--245 A. C. Fowler A Mathematical Analysis of Glacier Surges . . . . . . . . . . . . . . . . . 246--263 J. R. King The Isolation Oxidation of Silicon . . . 264--280 Jorge L. Sanz Multidimensional Signal Representation by Zero Crossings: An Algebraic Study 281--295 Zbigniew Kotulski Equations for the Characteristic Functional and Moments of the Stochastic Evolutions with an Application . . . . . 296--313 Timothy J. Burns Similarity and Bifurcation in Unstable Viscoplastic Shear . . . . . . . . . . . 314--329
Son T. Tu A Phase-Plane Analysis of Bursting in the Three-Dimensional Bonhoeffer--Van Der Pol Equations . . . . . . . . . . . 331--343 James F. Geer and Carl M. Andersen A Hybrid Perturbation Galerkin Technique with Applications to Slender Body Theory 344--361 D. W. Reynolds Bifurcation of Harmonic Solutions of an Integro-Differential Equation Modelling Resonant Sloshing . . . . . . . . . . . 362--372 P. D. Kaklis and G. A. Athanassoulis The Low-Frequency Heaving Motion of a Cylinder on the Free Surface of a Liquid 373--389 Gregory A. Kriegsmann Bifurcation in Classical Bipolar Transistor Oscillator Circuits . . . . . 390--403 Arie Leizarowitz On the Lyapunov Exponent of a Harmonic Oscillator Driven by a Finite-State Markov Process . . . . . . . . . . . . . 404--419 John Stensby False Lock and Bifurcation in Costas Loops . . . . . . . . . . . . . . . . . 420--431 T. L. Jackson and A. K. Kapila and D. S. Stewart Evolution of a Reaction Center in an Explosive Material . . . . . . . . . . . 432--458 J. W. Dold Analysis of Thermal Runaway in the Ignition Process . . . . . . . . . . . . 459--480 Yasumasa Nishiura and Masayasu Mimura Layer Oscillations in Reaction-Diffusion Systems . . . . . . . . . . . . . . . . 481--514 H. Ikeda and M. Mimura Wave-Blocking Phenomena in Bistable Reaction-Diffusion Systems . . . . . . . 515--538 J. D. Dockery and J. P. Keener Diffusive Effects on Dispersion in Excitable Media . . . . . . . . . . . . 539--566 G. Lohöfer Theory of an electromagnetically levitated metal sphere. I. Absorbed power . . . . . . . . . . . . . . . . . 567--581 R. Burridge and G. Papanicolaou and P. Sheng and B. White Probing a Random Medium with a Pulse . . 582--607 Simeon M. Berman Sojourn Times in a Cone for a Class of Vector Gaussian Processes . . . . . . . 608--616 J. A. Morrison Asymptotic Analysis of a Data-Handling System with Many Sources . . . . . . . . 617--637 Michael David Rawn Generalized Sampling Theorems for Bessel-Type Transforms of Bandlimited Functions and Distributions . . . . . . 638--649 Lee K. Jones Approximation-Theoretic Derivation of Logarithmic Entropy Principles for Inverse Problems and Unique Extension of the Maximum Entropy Method to Incorporate Prior Knowledge . . . . . . 650--661
Arthur K. Gautesen On a Class of Fredholm Integral Operators --- Asymptotic Expansions of Solutions and Eigenfunctions . . . . . . 663--675 Dieter Armbruster and John Guckenheimer and Philip Holmes Kuramoto--Sivashinsky Dynamics on the Center-Unstable Manifold . . . . . . . . 676--691 M. L. Glasser and V. G. Papageorgiou and T. C. Bountis Mel\cprimenikov's Function for Two-Dimensional Mappings . . . . . . . . 692--703 Lawrence K. Forbes A Series Analysis of Forced Transverse Oscillations in a Spring-Mass System . . 704--719 John R. Cannon and Ronald B. Guenther and Fouad A. Mohamed On the Rainfall Infiltration Through a Soil Medium . . . . . . . . . . . . . . 720--729 Y. C. Yortsos and F. J. Hickernell Linear Stability of Immiscible Displacement in Porous Media . . . . . . 730--748 John A. Trangenstein and John B. Bell Mathematical Structure of the Black-Oil Model for Petroleum Reservoir Simulation 749--783 Tor Barkve The Riemann Problem for a Nonstrictly Hyperbolic System Modeling Nonisothermal, Two-Phase Flow in a Porous Medium . . . . . . . . . . . . . 784--798 Ulf Torsten Ehrenmark Overconvergence of the Near-Field Expansion for Linearized Waves Normally Incident on a Sloping Beach . . . . . . 799--815 E. M. Arnold Coefficient Identification for a Divergence form Partial Differential Equation . . . . . . . . . . . . . . . . 816--823 Marco Avellaneda and Graeme W. Milton Optimal Bounds on the Effective Bulk Modulus of Polycrystals . . . . . . . . 824--837 J. M. Cushing A Competition Model for Size-Structured Species . . . . . . . . . . . . . . . . 838--858 H. I. Freedman and Joseph W.-H. So and Paul Waltman Coexistence in a Model of Competition in the Chemostat Incorporating Discrete Delays . . . . . . . . . . . . . . . . . 859--870 Gen Shun Chen and Anthony W. Leung Positive Solutions for Reactor Multigroup Neutron Transport Systems: Criticality Problem . . . . . . . . . . 871--887 K. Narita Stochastic Liénard equation with mean-field interaction . . . . . . . . . 888--905 David L. Donoho and Philip B. Stark Uncertainty Principles and Signal Recovery . . . . . . . . . . . . . . . . 906--931 K. L. Kreider A Wave Splitting Approach to Time Dependent Inverse Scattering for the Stratified Cylinder . . . . . . . . . . 932--943 Erkki Somersalo One-Dimensional Electromagnetic Inverse Reflection Problem: Formulation as a Riemann--Hilbert Problem and Imaging of Discontinuities . . . . . . . . . . . . 944--951 Jacek Polewczak Global Existence and Asymptotic Behavior for the Nonlinear Enskog Equation . . . 952--959 J. Friedel and P. Widmayer A Simple Proof of the Steiner Ratio Conjecture for Five Points . . . . . . . 960--967 John Miles and Peter J. Bryant Resonance and Symmetry Breaking for a Duffing Oscillator . . . . . . . . . . . 968--981
J. Dewynne and J. R. Ockendon and P. Wilmott On A Mathematical Model for Fiber Tapering . . . . . . . . . . . . . . . . 983--990 A. C. Fowler Secondary Frost Heave in Freezing Soils 991--1008 Thomas I. Vogel Stability of a liquid drop trapped between two parallel planes. II. General contact angles . . . . . . . . . . . . . 1009--1028 P. D. Ronney and G. I. Sivashinsky A Theoretical Study of Propagation and Extinction of Nonsteady Spherical Flame Fronts . . . . . . . . . . . . . . . . . 1029--1046 A. Bayliss and B. J. Matkowsky and M. Minkoff Period Doubling Gained, Period Doubling Lost . . . . . . . . . . . . . . . . . . 1047--1063 J. R. King The Isolation Oxidation of Silicon: The Reaction-Controlled Case . . . . . . . . 1064--1080 J. R. King On the Diffusion of Point Defects in Silicon . . . . . . . . . . . . . . . . 1081--1101 Herbert Steinrück A Bifurcation Analysis of the One-Dimensional Steady-State Semiconductor Device Equations . . . . . 1102--1121 Peter Szmolyan A Singular Perturbation Analysis of the Transient Semiconductor Device Equations 1122--1135 Leah Edelstein-Keshet and Bard Ermentrout Models for Branching Networks in Two Dimensions . . . . . . . . . . . . . . . 1136--1157 Eiji Yanagida and Kenjiro Maginu Stability of Double-Pulse Solutions in Nerve Axon Equations . . . . . . . . . . 1158--1173 P. F. Hodnett and T. P. Moloney On the Structure During Interaction of the Two-Soliton Solution of the Korteweg--de Vries Equation . . . . . . 1174--1187 P. A. Clarkson and A. S. Fokas and M. J. Ablowitz Hodograph Transformations of Linearizable Partial Differential Equations . . . . . . . . . . . . . . . 1188--1209 Paul K. Newton Branching Near Nonlinear Plane Waves in Dispersive Systems . . . . . . . . . . . 1210--1222 R. E. L. Turner and P. Villaggio A Note on the Motion of a String on a Unilaterally Reacting Foundation . . . . 1223--1230 M. Lachowicz and R. Monaco Existence and Quantitative Analysis of the Solutions to the Initial Value Problem for the Discrete Boltzmann Equation in all Space . . . . . . . . . 1231--1241 Ludwig Arnold and Peter Kloeden Lyapunov Exponents and Rotation Number of Two-Dimensional Systems with Telegraphic Noise . . . . . . . . . . . 1242--1274 Bal Krishna and Hari Krishna Computationally Efficient Reduced Polynomial Based Algorithms for Hermitian Toeplitz Matrices . . . . . . 1275--1282 George Dassios and Vassilis Kostopoulos Errata: ``The Scattering Amplitudes and Cross Sections in the Theory of Thermoelasticity'' [SIAM J. Appl. Math. \bf 48 (1988), no. 1, 79--98, MR 89c:73090] . . . . . . . . . . . . . . . 1283--1284
Sinnathurai Vijayakumar and Donald E. Cormack A New Concept in Near-Singular Integral Evaluation: The Continuation Approach 1285--1295 Gik\=o Ikegami On Regularizations of Nonlinear Electrical Circuits . . . . . . . . . . 1296--1309 Miguel Artola and Andrew J. Majda Nonlinear development of instabilities in supersonic vortex sheets. II. Resonant interaction among kink modes 1310--1349 N. Riley and P. D. Weidman Multiple Solutions of the Falkner--Skan Equation for Flow Past a Stretching Boundary . . . . . . . . . . . . . . . . 1350--1358 Leo R. M. Maas A Closed Form Green Function Describing Diffusion in a Strained Flow Field . . . 1359--1373 Dimitrios E. Panayotounakos and Basilios Zisis Closed-Form Solutions of the Nonlinear Partial Differential Equations Governing the Stress-Field in a Rigid, Perfectly-Plastic Body . . . . . . . . . 1374--1389 Stephen B. Margolis and Forman A. Williams Diffusional/Thermal Instability of a Solid Propellant Flame . . . . . . . . . 1390--1420 A. Bayliss and B. J. Matkowsky and M. Minkoff Cascading Cellular Flames . . . . . . . 1421--1432 Bruce Bukiet The Effect of Curvature on Detonation Speed . . . . . . . . . . . . . . . . . 1433--1446 Roger Lui Asymptotic Behavior of Solutions to an Evolutionary Ecology Model with Diffusion . . . . . . . . . . . . . . . 1447--1461 Simona Muratori and Sergio Rinaldi Remarks on Competitive Coexistence . . . 1462--1472 S. K. Cho and C. M. Chu Optimal Polarization in Bistatic Scattering . . . . . . . . . . . . . . . 1473--1479 Patrick S. Hagan and Charles R. Doering and C. David Levermore Mean Exit Times for Particles Driven by Weakly Colored Noise . . . . . . . . . . 1480--1513 Mario Lefebvre First-Passage Densities of a Two-Dimensional Process . . . . . . . . 1514--1523 Ali Nadim Dispersion in Spatially Periodic Media: The Moment-Difference Expansion Method 1524--1537 Wolfgang Stadje Coverage Problems for Random Intervals 1538--1551 John L. Spouge Speeding Up Dynamic Programming Algorithms for Finding Optimal Lattice Paths . . . . . . . . . . . . . . . . . 1552--1566
W. E. Olmstead and J. S. Angell Singularly Perturbed Integral Equations with Endpoint Boundary Layers . . . . . 1567--1584 G. Wolansky The Barotropic Vorticity Equation Under Forcing and Dissipation: Bifurcations of Nonsymmetric Responses and Multiplicity of Solutions . . . . . . . . . . . . . . 1585--1607 P. Wilmott The Stretching of a Slender, Axisymmetric, Viscous Inclusion --- Part I: Asymptotic Analysis . . . . . . . . . 1608--1616 A. D. Fitt and P. Wilmott The Stretching of a Slender, Axisymmetric, Viscous Inclusion --- Part II: Numerical Solution and Results . . . 1617--1634 Jonathan H. C. Luke Convergence of a Multiple Reflection Method for Calculating Stokes Flow in a Suspension . . . . . . . . . . . . . . . 1635--1651 I. David Abrahams and Gregory A. Kriegsmann and Edward L. Reiss On the Development of Caustics in Shear Flows Over Rigid Walls . . . . . . . . . 1652--1664 G. Chen and S. G. Krantz and D. L. Russell and C. E. Wayne and H. H. West and M. P. Coleman Analysis, Designs, and Behavior of Dissipative Joints for Coupled Beams . . 1665--1693 Kang Sheng Liu and Fa Lun Huang and Goong Chen Exponential Stability Analysis of a Long Chain of Coupled Vibrating Strings with Dissipative Linkage . . . . . . . . . . 1694--1707 Leonard Sarason Comparison of One- and Three-Dimensional Models for Tracer Evolution in Tissue Cylinders . . . . . . . . . . . . . . . 1708--1721 Jacob Rubinstein and Peter Sternberg and Joseph B. Keller Reaction-Diffusion Processes and Evolution to Harmonic Maps . . . . . . . 1722--1733 Christian Schmeiser On Strongly Reverse Biased Semiconductor Diodes . . . . . . . . . . . . . . . . . 1734--1748 Zhu Jun Jing Chaotic Behavior in the Josephson Equations with Periodic Force . . . . . 1749--1758 Yang Kuang Limit Cycles in a Chemostat-Related Model . . . . . . . . . . . . . . . . . 1759--1767 Eduardo M. Muñoz and James F. Selgrade Asymptotic Behavior for a Competitive Model with Genetic Variation . . . . . . 1768--1778 V. W. Noonburg A Neural Network Modeled by an Adaptive Lotka--Volterra System . . . . . . . . . 1779--1792 H. Roozen An Asymptotic Solution to a Two-Dimensional Exit Problem Arising in Population Dynamics . . . . . . . . . . 1793--1810 M. M. K\losek and B. J. Matkowsky and Z. Schuss First-Order Dynamics Driven by Rapid Markovian Jumps . . . . . . . . . . . . 1811--1833 D. R. Jensen and R. V. Foutz The Structure and Analysis of Spherical Time-Dependent Processes . . . . . . . . 1834--1844 Marc Teboulle A Simple Duality Proof for Quadratically Constrained Entropy Functionals and Extension to Convex Constraints . . . . 1845--1850
John Strain Velocity Effects in Unstable Solidification . . . . . . . . . . . . . 1--15 Vianey Villamizar Elastic Scattering From a Viscous Incompressible Fluid Sphere at Low Reynolds Number . . . . . . . . . . . . 16--32 David G. Schaeffer and Michael Shearer and E. Bruce Pitman Instability in Critical State Theories of Granular Flow . . . . . . . . . . . . 33--47 C. Hunter and M. Tajdari and S. D. Boyer On Lagerstrom's Model of Slow Incompressible Viscous Flow . . . . . . 48--63 A. S. Sangani Conductivity of $N$-Dimensional Composites Containing Hyperspherical Inclusion . . . . . . . . . . . . . . . 64--73 Alfred S. Carasso Impulse Response Acquisition as an Inverse Heat Conduction Problem . . . . 74--90 Lee A. Segel and Alan S. Perelson A Paradoxical Instability Caused by Relatively Short-Range Inhibition . . . 91--107 Renato E. Mirollo and Steven H. Strogatz Jump Bifurcation and Hysteresis in an Infinite-Dimensional Dynamical System of Coupled Spins . . . . . . . . . . . . . 108--124 G. B. Ermentrout and N. Kopell Oscillator Death in Systems of Coupled Neural Oscillators . . . . . . . . . . . 125--146 Mark H. Holmes and Jonathan Bell A Model of a Sensory Mechanoreceptor Derived From Homogenization . . . . . . 147--166 Michael C. Reed and Stephanos Venakides and Jacob Joseph Blum Approximate Traveling Waves in Linear Reaction-Hyperbolic Equations . . . . . 167--180 Chris J. Budd and Avner Friedman and Bryce Mcleod and Adam A. Wheeler The Space Charge Problem . . . . . . . . 181--198 Randy C. Stevenson Green's Function for the Helmholtz Equation of a Scalar Wave in an Anisotropic Halfspace . . . . . . . . . 199--215 Fadil Santosa and Michael Vogelius A Backprojection Algorithm for Electrical Impedance Imaging . . . . . . 216--243 Dan Trietsch and Frank Hwang An Improved Algorithm for Steiner Trees 244--263 Charles Knessl On Finite Capacity Processor-Shared Queues . . . . . . . . . . . . . . . . . 264--287 P. C. Fishburn and J. C. Lagarias and J. A. Reeds and L. A. Shepp Sets Uniquely Determined by Projections on Axes I. Continuous Case . . . . . . . 288--306 Fern Hunt Error Analysis and Convergence of Capacity Dimension Algorithms . . . . . 307--321
Charles Knessl and Joseph B. Keller Partition Asymptotics From Recursion Equations . . . . . . . . . . . . . . . 323--338 Mark J. Ablowitz and B. M. Herbst On Homoclinic Structure and Numerically Induced Chaos for the Nonlinear Schrödinger Equation . . . . . . . . . . 339--351 D. Glenn Lasseigne and W. E. Olmstead Stability of a Viscoelastic Burgers Flow 352--360 James M. Rotenberry and Philip G. Saffman Effect of Compliant Boundaries on Weakly Nonlinear Shear Waves in Channel Flow 361--394 Stuart S. Antman and John F. Pierce The Intricate Global Structure of Buckled States of Compressible Columns 395--419 D. S. Riley and S. H. Davis Long-Wave Morphological Instabilities in the Directional Solidification of a Dilute Binary Mixture . . . . . . . . . 420--436 A. Bayliss and B. J. Matkowsky Two Routes to Chaos in Condensed Phase Combustion . . . . . . . . . . . . . . . 437--459 M. E. Henderson and H. B. Keller Complex Bifurcation From Real Paths . . 460--482 Donald S. Cohen and Thomas Erneux Changing Time History in Moving Boundary Problems . . . . . . . . . . . . . . . . 483--489 C. Elphick and E. Meron and E. A. Spiegel Patterns of Propagating Pulses . . . . . 490--503 R. E. O'Malley, Jr. and C. Schmeiser The Asymptotic Solution of a Semiconductor Device Problem Involving Reverse Bias . . . . . . . . . . . . . . 504--520 Lu Ting and Michael J. Miksis On Vortical Flow and Sound Generation 521--536 W. L. Kath and J. Jiao and M. E. Marhic Boundary Layer Analysis of Infrared Whispering-Gallery Waveguides . . . . . 537--546 D. S. Jones A Thin Wire Approximation . . . . . . . 547--558 D. S. Jones and G. A. Kriegsmann Note on Surface Radiation Conditions . . 559--568 Norman Bleistein and Jack K. Cohen Stacking of Narrow Aperture Common Shot Inversions . . . . . . . . . . . . . . . 569--594 T. Naeh and M. M. K\losek and B. J. Matkowsky and Z. Schuss A Direct Approach to the Exit Problem 595--627 L. J. Shaw and J. D. Murray Analysis of a Model for Complex Skin Patterns . . . . . . . . . . . . . . . . 628--648
Donald A. Drew Evolution of Geometric Statistics . . . 649--666 Lars Holden On the Strict Hyperbolicity of the Buckley--Leverett Equations for Three-Phase Flow in a Porous Medium . . 667--682 Richard James and Robert Lipton and Adam Lutoborski Laminar Elastic Composites with Crystallographic Symmetry . . . . . . . 683--702 P. J. McKenna and W. Walter Travelling Waves in a Suspension Bridge 703--715 Muneo Hori and Siavouche Nemat-Nasser Asymptotic Solution of a Class of Strongly Singular Integral Equations . . 716--725 Emily Stone and Philip Holmes Random Perturbations of Heteroclinic Attractors . . . . . . . . . . . . . . . 726--743 Xiangbo Feng and Kenneth A. Loparo Almost Sure Instability of the Random Harmonic Oscillator . . . . . . . . . . 744--759 Ioannis G. Kevrekidis and Basil Nicolaenko and James C. Scovel Back in the Saddle Again: A Computer Assisted Study of the Kuramoto--Sivashinsky Equation . . . . . 760--790 Guillermo Terrones and David W. McLaughlin and Edward A. Overman and Arne J. Pearlstein Stability and Bifurcation of Spatially Coherent Solutions of the Damped-Driven NLS Equation . . . . . . . . . . . . . . 791--818 I. D. Abrahams and G. R. Wickham General Wiener--Hopf Factorization of Matrix Kernels with Exponential Phase Factors . . . . . . . . . . . . . . . . 819--838 Mark H. Holmes Nonlinear Ionic Diffusion Through Charged Polymeric Gels . . . . . . . . . 839--852 Nagaraj S. Rao and Emilio O. Roxin Controlled Growth of Competing Species 853--864 Raphael A. Kasonga Maximum Likelihood Theory for Large Interacting Systems . . . . . . . . . . 865--875 Kennan T. Smith The Uncertainty Principle on Groups . . 876--882 Abdul-Majid Wazwaz Two Turning Points of Second Order . . . 883--892 Ahmed I. Zayed and Guido Hinsen and Paul L. Butzer On Lagrange Interpolation and Kramer-Type Sampling Theorems Associated with Sturm--Liouville Problems . . . . . 893--909 Mei Kobayashi Eigenfunction Expansions: A Discontinuous Version . . . . . . . . . 910--917 Edward B. Curtis and James A. Morrow Determining the Resistors in a Network 918--930 Paul E. Sacks A Velocity Inversion Problem Involving an Unknown Source . . . . . . . . . . . 931--941 Alfred S. Carasso Corrigendum: ``Impulse Response Acquisition as an Inverse Heat Conduction Problem'' [SIAM J. Appl. Math. \bf 50 (1990), no. 1, 74--90] . . 942--942
Mark Levi A Period-Adding Phenomenon . . . . . . . 943--955 R. L. Ingraham A Sequence of Galerkin Approximations to the Center Manifold for a Certain Class of Nonlinear Partial Differential Equational Dynamical Systems . . . . . . 956--971 K. A. Murphy Estimation of Time- and State-Dependent Delays and Other Parameters in Functional Differential Equations . . . 972--1000 John R. Cannon and David M. Elwood A System Involving a Nonlinear First-Order Partial Differential Equation Coupled With a Nonlinear Volterra Integral Equation . . . . . . . 1001--1013 N. Kopell and G. B. Ermentrout Phase Transitions and Other Phenomena in Chains of Coupled Oscillators . . . . . 1014--1052 D. E. Woodward Synthesis of Phase-Locking Patterns in Networks with Cyclic Group Symmetries 1053--1072 J. G. Taylor Noisy Neural Net States and Their Time Evolution . . . . . . . . . . . . . . . 1073--1087 G. A. Kriegsmann and M. E. Brodwin and D. G. Watters Microwave Heating of a Ceramic Halfspace 1088--1098 M. J. Ward and F. M. Odeh and D. S. Cohen Asymptotic Methods for Metal Oxide Semiconductor Field Effect Transistor Modeling . . . . . . . . . . . . . . . . 1099--1125 William T. Grayhack and Thomas J. Mahar Buckling of Rib-Stiffened Plates: An Asymptotic Approach . . . . . . . . . . 1126--1133 I. Yaesh and B. Z. Bobrovsky and Z. Schuss Asymptotic Analysis of the Optimal Filtering Problem for Two-Dimensional Diffusions Measured in a Low Noise Channel . . . . . . . . . . . . . . . . 1134--1155 Arie Leizarowitz Exact Results for the Lyapunov Exponents of Certain Linear Ito Systems . . . . . 1156--1165 Ora E. Percus and J. K. Percus Elementary Properties of Clock-Regulated Queues . . . . . . . . . . . . . . . . . 1166--1175 Zhensheng Zhang Analytical Results for Waiting Time and System Size Distributions in Two Parallel Queueing Systems . . . . . . . 1176--1193 A. G. Miamee Periodically Correlated Processes and Their Stationary Dilations . . . . . . . 1194--1199 B. Pittel and W. A. Woyczy\'nski A Graph-Valued Markov Process as Rings-Allowed Polymerization Model: Subcritical Behavior . . . . . . . . . . 1200--1220
B. N. Mandal and P. K. Kundu Scattering of Water Waves by a Submerged Nearly Vertical Plate . . . . . . . . . 1221--1231 F. E. McCaughan Bifurcation Analysis of Axial Flow Compressor Stability . . . . . . . . . . 1232--1253 Goong Chen and Jian Xin Zhou The Wave Propagation Method for the Analysis of Boundary Stabilization in Vibrating Structures . . . . . . . . . . 1254--1283 Robert W. Cox Shocks in a Model for Stress-Driven Diffusion . . . . . . . . . . . . . . . 1284--1299 George Dassios and Vassilis Kostopoulos On Rayleigh Expansions in Thermoelastic Scattering . . . . . . . . . . . . . . . 1300--1324 Harry E. Moses and Reese T. Prosser Acoustic and Electromagnetic Bullets: Derivation of New Exact Solutions of the Acoustic and Maxwell's Equations . . . . 1325--1340 G. Chen and S. A. Fulling and F. J. Narcowich and C. Qi An Asymptotic Average Decay Rate for the Wave Equation with Variable Coefficient Viscous Damping . . . . . . . . . . . . 1341--1347 John B. Collings and David J. Wollkind A Global Analysis of a Temperature-Dependent Model System for a Mite Predator-Prey Interaction . . . . . 1348--1372 James C. Alexander and Eusebius J. Doedel and Hans G. Othmer On the Resonance Structure in a Forced Excitable System . . . . . . . . . . . . 1373--1418 V. Moll and S. I. Rosencrans Calculation of the Threshold Surface for Nerve Equations . . . . . . . . . . . . 1419--1441 Craig Steven Peters and Marc Mangel New Methods for the Problem of Collective Ruin . . . . . . . . . . . . 1442--1456 Bennett L. Fox and Peter W. Glynn Discrete-Time Conversion for Simulating Finite-Horizon Markov Processes . . . . 1457--1473 James F. Geer and Carl M. Andersen A Hybrid Perturbation-Galerkin Technique That Combines Multiple Expansions . . . 1474--1495 Mohammad B. Dadfar and James F. Geer Resonances and Power Series Solutions of the Forced Van Der Pol Oscillator . . . 1496--1506 A. K. Gautesen Asymptotic Solutions to Some Two-Dimensional Singularly Perturbed Fredholm Integral Equations . . . . . . 1507--1515
R. E. Caflisch and O. F. Orellana and M. Siegel A Localized Approximation Method for Vortical Flows . . . . . . . . . . . . . 1517--1532 Lu Ting and Joseph B. Keller Slender Jets and Thin Sheets with Surface Tension . . . . . . . . . . . . 1533--1546 G. N. Mercer and A. J. Roberts A Centre Manifold Description of Contaminant Dispersion in Channels with Varying Flow Properties . . . . . . . . 1547--1565 T. Kida and R. Hayashi and Z. Yasutomi A Theoretical Remark About Waves on a Static Water Surface Beneath a Layer of Moving Air . . . . . . . . . . . . . . . 1566--1579 Mark W. Coffey On Series Expansions Giving Closed-Form Solutions of Korteweg--de Vries-Like Equations . . . . . . . . . . . . . . . 1580--1592 F. Poupaud On a System of Nonlinear Boltzmann Equations of Semiconductor Physics . . . 1593--1606 T. S. Angell and R. E. Kleinman and F. Hettlich The Resistive and Conductive Problems for the Exterior Helmholtz Equation . . 1607--1622 D. G. Gisser and D. Isaacson and J. C. Newell Electric Current Computed Tomography and Eigenvalues . . . . . . . . . . . . . . 1623--1634 Masaru Ikehata Inversion Formulas for the Linearized Problem for an Inverse Boundary Value Problem in Elastic Prospection . . . . . 1635--1644 Renato E. Mirollo and Steven H. Strogatz Synchronization of Pulse-Coupled Biological Oscillators . . . . . . . . . 1645--1662 N. F. Britton Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model . . . . . . . . . . . . 1663--1688 George Bluman A Reduction Algorithm for an Ordinary Differential Equation Admitting a Solvable Lie Group . . . . . . . . . . . 1689--1705 George Bluman Invariant Solutions for Ordinary Differential Equations . . . . . . . . . 1706--1715 F. Jay Bourland and Richard Haberman Separatrix Crossing: Time-Invariant Potentials with Dissipation . . . . . . 1716--1744 Rafael del rio Castillo On Boundary Conditions of an Inverse Sturm--Liouville Problem . . . . . . . . 1745--1751 David L. Littlefield and Prateen V. Desai Frobenius Analysis of Higher Order Equations: Incipient Buoyant Thermal Convection . . . . . . . . . . . . . . . 1752--1763 C. Hunter and M. Tajdari Singular Complex Periodic Solutions of Van Der Pol's Equation . . . . . . . . . 1764--1779 Andrew E. Yagle Analogues of Split Levinson, Schur, and Lattice Algorithms for Three-Dimensional Random Field Estimation Problems . . . . 1780--1799
Ulf Torsten Ehrenmark On Viscous Wave Motion Over a Plane Beach . . . . . . . . . . . . . . . . . 1--19 M. J. P. Cullen and J. Norbury and R. J. Purser Generalised Lagrangian Solutions for Atmospheric and Oceanic Flows . . . . . 20--31 Adel N. Boules On the Existence and Uniqueness of the Flow in a Torus . . . . . . . . . . . . 32--39 D. A. Macdonald The Zeros of $ {J}^2_1 (\zeta) - {J}_0 (\zeta){J}_2 (\zeta) = 0 $ with an Application to Swirling Flow in a Tube 40--48 Martin Golubitsky and Martin Krupa and Chjan Lim Time Reversibility and Particle Sedimentation . . . . . . . . . . . . . 49--72 David O. Olagunju and Bernard J. Matkowsky Polyhedral Flames . . . . . . . . . . . 73--89 M. J. Ward and L. G. Reyna and F. M. Odeh Multiple Steady-State Solutions in a Multijunction Semiconductor Device . . . 90--123 A. McNabb and L. Bass A Diffusion-Reaction Model for the Cellular Uptake of Protein-Bound Ligands 124--149 A. Calzolari and C. Costantini and A. Gerardi Law of Large Numbers for DNA Distribution in an Interacting Cell Population . . . . . . . . . . . . . . . 150--159 Charles Knessl On the Diffusion Approximation to a Fork and Join Queueing Model . . . . . . . . 160--171 Konstantin Z. Markov On the Factorial Functional Series and Their Application to Random Media . . . 172--186 Charles Knessl and J. A. Morrison Heavy-Traffic Analysis of a Data-Handling System with Many Sources 187--213 Charles Knessl and Joseph B. Keller Asymptotic Properties of Eigenvalues of Integral Equations . . . . . . . . . . . 214--232 A.-M. Wazwaz and F. B. Hanson Moments of Extinction for a Singular Perturbation Problem in the Diffusion Process . . . . . . . . . . . . . . . . 233--265 G. Chen and S. A. Fulling and F. J. Narcowich and S. Sun Exponential Decay of Energy of Evolution Equations with Locally Distributed Damping . . . . . . . . . . . . . . . . 266--301
Anne Bourlioux and Andrew J. Majda and Victor Roytburd Theoretical and Numerical Structure for Unstable One- Dimensional Detonations 303--343 Henri Berestycki and Gregory I. Sivashinsky Flame Extinction by Periodic Flow Field 344--350 Robert F. Almgren High-Frequency Acoustic Waves in a Reacting Gas . . . . . . . . . . . . . . 351--373 Balan Nair and Benjamin S. White High-frequency wave propagation in random media --- a unified approach . . 374--411 Mahmoud Hesaaraki The Structure of Shock Waves in Magnetohydrodynamics for Purely Transverse Magnetic Fields . . . . . . . 412--428 Stephen M. Cox Analysis of Steady Flow in a Channel with One Porous Wall, or with Accelerating Walls . . . . . . . . . . . 429--438 D. L. Bosley and J. Kevorkian Sustained Resonance in Very Slowly Varying Oscillatory Hamiltonian Systems 439--471 Donald S. Cohen and Andrew B. White, Jr. Sharp Fronts Due to Diffusion and Viscoelastic Relaxation in Polymers . . 472--483 Jonathan Bell and Avner Friedman and Andrew A. Lacey On Solutions to a Quasi-Linear Diffusion Problem from the Study of Soft Tissue 484--493 Michael Pilant and William Rundell Determining a Coefficient in a First-Order Hyperbolic Equation . . . . 494--506 J. Szulga and W. A. Woyczy\'nski and J. A. Mann, Jr. and G. J. Tjatjopoulos Poissonized Partition Function and Large Deviation Techniques in Analysis of One-Dimensional Monomolecular Layers . . 507--524 Alberto Bersani and Cecilia Sciarretta Asymptotic Analysis for a Closed Processor-Sharing System with Switching Times: Normal Usage . . . . . . . . . . 525--541 Nigel J. Newton Asymptotically Efficient Runge--Kutta Methods for a Class of Ito and Stratonovich Equations . . . . . . . . . 542--567 Thad Dankel, Jr. On the Distribution of the Integrated Square of the Ornstein--Uhlenbeck Process . . . . . . . . . . . . . . . . 568--574 Ahmed I. Zayed On Kramer's Sampling Theorem Associated with General Sturm--Liouville Problems and Lagrange Interpolation . . . . . . . 575--604
Mahmoud Affouf and Russel E. Caflisch A Numerical Study of Riemann Problem Solutions and Stability for a System of Viscous Conservation Laws of Mixed Type 605--634 Nicholas Dodd Reflective Properties of Parabolic Approximations in Shallow Water Wave Propagation . . . . . . . . . . . . . . 635--657 Sutrisno and D. R. Kassoy Weak Shocks Initiated by Power Deposition on a Spherical Source Boundary . . . . . . . . . . . . . . . . 658--672 Michael L. Frankel Qualitative Approximation of Oscillatory Flames in Premixed Gas Combustion by a Local Equation of Front Dynamics . . . . 673--683 J. Chadam and A. Peirce and P. Ortoleva Stability of Reactive Flows in Porous Media: Coupled Porosity and Viscosity Changes . . . . . . . . . . . . . . . . 684--692 Stephen B. Margolis New Routes to Quasi-Periodic Combustion of Solids and High-Density Fluids Near Resonant Hopf Bifurcation Points . . . . 693--726 Luis L. Bonilla Solitary Waves in Semiconductors with Finite Geometry and the Gunn Effect . . 727--747 Thomas Kerkhoven On the One-Dimensional Current Driven Semiconductor Equations . . . . . . . . 748--774 Colin Goodall Eigenshape Analysis of a Cut-Grow Mapping for Triangles, and its Application to Phyllotaxis in Plants . . 775--798 Catherine A. Macken and Patrick S. Hagan and Alan S. Perelson Evolutionary Walks on Rugged Landscapes 799--827 Alain Simonian Stationary Analysis of a Fluid Queue with Input Rate Varying as an Ornstein--Uhlenbeck Process . . . . . . 828--842 Jean Picard Efficiency of the Extended Kalman Filter for Nonlinear Systems with Small Noise 843--885
David Hoff and Denis Serre The Failure of Continuous Dependence on Initial Data for the Navier--Stokes Equations of Compressible Flow . . . . . 887--898 David S. Malkus and John A. Nohel and Bradley J. Plohr Analysis of New Phenomena in Shear Flow of Non-Newtonian Fluids . . . . . . . . 899--929 B. N. Mandal and S. Banerjea A Note on Waves Due to Rolling of a Partially Immersed Nearly Vertical Plate 930--939 T. P. Moloney and P. F. Hodnett Note on the Structure of a Three-Soliton Solution of the Korteweg--de Vries Equation . . . . . . . . . . . . . . . . 940--947 Pablo M. Jacovkis One-Dimensional Hydrodynamic Flow in Complex Networks and Some Generalizations . . . . . . . . . . . . 948--966 Goong Chen and Matthew P. Coleman and Jian-Xin Zhou Analysis of vibration eigenfrequencies of a thin plate by the Keller--Rubinow wave method. I. Clamped boundary conditions with rectangular or circular geometry . . . . . . . . . . . . . . . . 967--983 Fadil Santosa and William W. Symes A Dispersive Effective Medium for Wave Propagation in Periodic Composites . . . 984--1005 C. R. Maccluer and C. J. Radcliffe and Andrew J. Hull Diagonalizing Acoustic Models . . . . . 1006--1010 Edward B. Curtis and James A. Morrow The Dirichlet to Neumann Map for a Resistor Network . . . . . . . . . . . . 1011--1029 Stavros Busenberg and Kenneth Cooke and Horst Thieme Demographic Change and Persistence of HIV/AIDS in a Heterogeneous Population 1030--1052 Aaron Klebanoff and Steven Minta and Alan Hastings and Tim W. Clark Age-Dependent Predation Model of Black-Footed Ferrets and Prairie Dogs 1053--1073 Vit. A. Vol\cprimepert and Vl. A. Vol\cprimepert Propagation Velocity Estimation for Condensed Phase Combustion . . . . . . . 1074--1089 Kadir Kirkköprü and David R. Kassoy High-Speed Reaction Zone Structure for Variable Mole Chemistry . . . . . . . . 1090--1118 Charles Knessl The WKB Approximation to the $ G / M / m $ Queue . . . . . . . . . . . . . . . . 1119--1133 D. P. Gaver and J. A. Morrison Heavy-Traffic Analysis of Multitype Queueing Under Probabilistically Load-Preferential Service Order . . . . 1134--1149 F. Jay Bourland and Richard Haberman and William L. Kath Averaging Methods for the Phase Shift of Arbitrarily Perturbed Strongly Nonlinear Oscillators with an Application to Capture . . . . . . . . . . . . . . . . 1150--1167
Chee-Seng Lim Semi-Cherenkov and Bi-Cherenkov Problems 1169--1193 Jon C. Luke A Note on Particle-Like Solutions for a Nonlinear Complex-Valued Klein--Gordon Equation . . . . . . . . . . . . . . . . 1194--1204 Rohan Abeyaratne and James K. Knowles Implications of Viscosity and Strain-Gradient Effects for the Kinetics of Propagating Phase Boundaries in Solids . . . . . . . . . . . . . . . . . 1205--1221 Kazuo Murota and Kiyohiro Ikeda Critical Imperfection of Symmetric Structures . . . . . . . . . . . . . . . 1222--1254 M. E. Brewster Thin Plates and Compressive Membrane Solutions I: Global Breakdown . . . . . 1255--1283 I. Silverman and J. B. Greenberg and Y. Tambour Asymptotic Analysis of a Premixed Polydisperse Spray Flame . . . . . . . . 1284--1303 K. L. Henderson and J. W. Dold Transition from Thermal Runaway to Propagating Flames . . . . . . . . . . . 1304--1314 C. J. Lee and J. Buckmaster The Structure and Stability of Flame Balls: A Near- Equidiffusional Flame Analysis . . . . . . . . . . . . . . . . 1315--1326 W. Fang and M. Shillor and E. Stahel and E. Epstein and C. Ly and J. McNiel and E. Zaron A Mathematical Model for Outgassing and Contamination . . . . . . . . . . . . . 1327--1355 John K. Bechtold and Stephen B. Margolis Nonlinear Hydrodynamic Stability and Spinning Deflagration of Liquid Propellants . . . . . . . . . . . . . . 1356--1379 Lawrence K. Forbes Forced Transverse Oscillations in a Simple Spring-Mass System . . . . . . . 1380--1396 N. Kopell and G. B. Ermentrout and T. L. Williams On Chains of Oscillators Forced at One End . . . . . . . . . . . . . . . . . . 1397--1417 David Terman Chaotic Spikes Arising from a Model of Bursting in Excitable Membranes . . . . 1418--1450 H. L. Smith and Betty Tang and Paul Waltman Competition in an $n$-Vessel Gradostat 1451--1471 Helge Holden and Nils Henrik Risebro Stochastic Properties of the Scalar Buckley--Leverett Equation . . . . . . . 1472--1488
S. L. Cole and J. W. Wilder Gas Phase Decomposition by the Lindemann Mechanism . . . . . . . . . . . . . . . 1489--1497 John K. Hunter and Ralph Saxton Dynamics of Director Fields . . . . . . 1498--1521 Robert W. Cox Stress-Assisted Diffusion: A Free Boundary Problem . . . . . . . . . . . . 1522--1537 Roberto Mauri and Shimon Haber Time-Dependent Dispersion of Small Particles in Rectangular Conduits . . . 1538--1555 A. K. Gautesen and R. W. Ziolkowski and R. R. McLeod A Solution to the Scattering of Electromagnetic Waves from a Dielectric Semi-Cylinder . . . . . . . . . . . . . 1556--1567 David E. Budreck and James H. Rose Elastodynamic Completeness Relations for Scattered Wavefields . . . . . . . . . . 1568--1584 Richard E. Meyer On Exponential Asymptotics for Nonseparable Wave Equations I: Complex Geometrical Optics and Connection . . . 1585--1601 Richard E. Meyer On exponential asymptotics for nonseparable wave equations. II. EBK Quantization . . . . . . . . . . . . . . 1602--1615 Arieh Pistiner and Michael Shapiro and Hillel Rubin A New Solution for the Nonlinear Diffusion-Convection Equation . . . . . 1616--1621 M. S. Krol On the Averaging Method in Nearly Time-Periodic Advection-Diffusion Problems . . . . . . . . . . . . . . . . 1622--1637 Richard Haberman Standard Form and a Method of Averaging for Strongly Nonlinear Oscillatory Dispersive Traveling Waves . . . . . . . 1638--1652 Michael V. Klibanov and Fadil Santosa A Computational Quasi-Reversibility Method for Cauchy Problems for Laplace's Equation . . . . . . . . . . . . . . . . 1653--1675 Hans Babovsky Identification of Scattering Media from Reflected Flows . . . . . . . . . . . . 1676--1704 David Isaacson and Margaret Cheney Effects of Measurement Precision and Finite Numbers of Electrodes on Linear Impedance Imaging Algorithms . . . . . . 1705--1731 Alain Simonian and Jorma Virtamo Transient and Stationary Distributions for Fluid Queues and Input Processes with a Density . . . . . . . . . . . . . 1732--1739 C. Knessl and J. A. Morrison Heavy Traffic Analysis of the Sojourn Time in Tandem Queues with Overtaking 1740--1763 Edward R. Dougherty and Eugene J. Kraus Shape Analysis and Reduction of the Morphological Basis for Digital Moving-Average Filters . . . . . . . . . 1764--1781 Gerald Jean Francis Banon and Junior Barrera Minimal Representations for Translation-Invariant Set Mappings by Mathematical Morphology . . . . . . . . 1782--1798
James Q. Feng The Oscillations of a Bubble Moving in an Inviscid Fluid . . . . . . . . . . . 1--14 A. C. Fowler and P. E. Lisseter Flooding and Flow Reversal in Annular Two-Phase Flows . . . . . . . . . . . . 15--33 Thomas Y. Hou and Xue Xin Homogenization of Linear Transport Equations with Oscillatory Vector Fields 34--45 Avner Friedman and Bei Hu Homogenization Approach to Light Scattering from Polymer-Dispersed Liquid Crystal Films . . . . . . . . . . . . . 46--64 Olav Dahl and Thormod Johansen and Aslak Tveito and Ragnar Winther Multicomponent Chromatography in a Two Phase Environment . . . . . . . . . . . 65--104 G. Spiga and S. Oggioni On Shock Wave Solutions in Extended Discrete Kinetic Theory . . . . . . . . 105--111 Michael J. Ward Singular Perturbations and a Free Boundary Problem in the Modeling of Field Effect Transistors . . . . . . . . 112--139 Yitshak M. Ram and James Caldwell Physical Parameters Reconstruction of a Free--Free Mass-Spring System from its Spectra . . . . . . . . . . . . . . . . 140--152 J. Adler and D. M. Herbert Diffusion Controlled Smoulder Propagation Parallel to a Plane Surface 153--162 Donald A. Dawson and Klaus Fleischmann Diffusion and Reaction Caused by Point Catalysts . . . . . . . . . . . . . . . 163--180 W. W. Farr and M. Golubitsky Rotating Chemical Waves in the Gray--Scott Model . . . . . . . . . . . 181--221 Gail S. K. Wolkowicz and Zhiqi Lu Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates . . . . . . . . . . . . . . 222--233 Margo L. Mankus and Charles Tier Asymptotic Analysis of an Integrated Digital Network . . . . . . . . . . . . 234--269 Victor Solo Intrinsic Random Functions and the Paradox of $ 1 / f $ Noise . . . . . . . 270--291 Peter Hall and Inge Koch On the Feasibility of Cross-Validation in Image Analysis . . . . . . . . . . . 292--313
Giacomo Caviglia and Angelo Morro Ray Analysis of Wave Propagation in Nonhomogeneous Viscoelastic Fluids . . . 315--326 R. H. Tew and J. R. Ockendon Multiple Scales Expansions Near Critical Rays . . . . . . . . . . . . . . . . . . 327--336 Pierre Hillion A Note on the Derivation of Paraxial Equation in Nonhomogeneous Media . . . . 337--346 Ina Lindemann Stability of Hyperbolic Partial Differential Equations with Random Loads 347--367 Vit. A. Vol\cprimepert and Vl. A. Vol\cprimepert and S. P. Davtyan and I. N. Megrabova and N. F. Surkov Two-Dimensional Combustion Modes in Condensed Flow . . . . . . . . . . . . . 368--383 Marc Garbey and Hans G. Kaper and Gary K. Leaf and Bernard J. Matkowsky Quasi-Periodic Waves and the Transfer of Stability in Condensed-Phase Surface Combustion . . . . . . . . . . . . . . . 384--395 Alvin Bayliss and Bernard J. Matkowsky Nonlinear Dynamics of Cellular Flames 396--415 L. Sinay and F. A. Williams An Analytical Approach to the Description of Nonadiabatic Cellular Flames Near Extinction . . . . . . . . . 416--427 Claudia Giordana and Marina Mochi and Francesco Zirilli The Numerical Solution of an Inverse Problem for a Class of One-Dimensional Diffusion Equations with Piecewise Constant Coefficients . . . . . . . . . 428--441 David C. Dobson Convergence of a Reconstruction Method for the Inverse Conductivity Problem . . 442--458 Adel Faridani and Erik L. Ritman and Kennan T. Smith Local Tomography . . . . . . . . . . . . 459--484 P. Szmolyan Analysis of a Singularly Perturbed Traveling Wave Problem . . . . . . . . . 485--493 D. L. Bosley and J. Kevorkian Adiabatic Invariance and Transient Resonance in Very Slowly Varying Oscillatory Hamiltonian Systems . . . . 494--527 S. B. Hsu and P. Waltman Analysis of a Model of Two Competitors in a Chemostat with an External Inhibitor . . . . . . . . . . . . . . . 528--540 Carl P. Simon and John A. Jacquez Reproduction Numbers and the Stability of Equilibria of Si Models for Heterogeneous Populations . . . . . . . 541--576 D. L. Donoho and B. F. Logan Signal Recovery and the Large Sieve . . 577--591 Stephen B. Margolis Erratum: ``New Routes to Quasi-Periodic Combustion of Solids and High-Density Fluids Near Resonant Hopf Bifurcation Points'' [SIAM J. Appl. Math. \bf 51 (1991), no. 3, 693--726, MR 92d:80005] 592--592
Amy Novick-Cohen On a Minimization Problem Arising in Wetting . . . . . . . . . . . . . . . . 593--613 Sheng Wang and Yisong Yang Symmetric Superconducting States in Thin Films . . . . . . . . . . . . . . . . . 614--629 N. F. Britton A New Method for Mass Transport Problems with an Application to Haemofilters . . 630--650 Richard Barshinger The Electrostatic Field About a Thin Oblate Dielectric Body of Revolution . . 651--675 C. C. Lim and J. M. Pimbley and C. Schmeiser and D. W. Schwendeman Rotating Waves for Semiconductor Inverter Rings . . . . . . . . . . . . . 676--690 J. M. Pimbley and J. D. Cole Charge Carrier Dynamics in Alpha Particle Tracks . . . . . . . . . . . . 691--698 Wei Fu Fang and Ellis Cumberbatch Inverse Problems for Metal Oxide Semiconductor Field-Effect Transistor Contact Resistivity . . . . . . . . . . 699--709 Peter Maass The Interior Radon Transform . . . . . . 710--724 E. M. E. Zayed An Inverse Eigenvalue Problem for an Arbitrary, Multiply Connected, Bounded Domain in $ {R}^3 $ With Impedance Boundary Conditions . . . . . . . . . . 725--729 R. E. Meyer and M. C. Shen On exponential asymptotics for nonseparable wave equations. III. Approximate spectral bands of periodic potentials on strips . . . . . . . . . . 730--745 M. Gregory Forest and S.-P. Sheu and Amarendra Sinha Frequency and Phase Locking of Spatially Periodic Perturbed Sine-Gordon Breather Trains . . . . . . . . . . . . . . . . . 746--761 F. Moura Neto Defect Dynamics in a Dissipative System 762--791 P. J. Aston and A. Spence and W. Wu Bifurcation to Rotating Waves in Equations with $ {\rm O}(2) $-Symmetry 792--809 W. D. Curtis and R. O. Fox and K. Halasi Numerical Stability Analysis of a Class of Functional Differential Equations . . 810--834 Wen Zhang Huang and Kenneth L. Cooke and Carlos Castillo-Chavez Stability and Bifurcation for a Multiple-Group Model for the Dynamics of HIV/AIDS Transmission . . . . . . . . . 835--854 Walter G. Aiello and H. I. Freedman and J. Wu Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay . . . . . . . 855--869 William Roger Fuller A Discussion of the Quasi-Euler--Lagrange Equation . . . . . 870--882 Charles Knessl and Charles Tier A Processor-Shared Queue That Models Switching Times: Normal Usage . . . . . 883--899 D. Hajela On Faster Than Nyquist Signaling: Further Estimations on the Minimum Distance . . . . . . . . . . . . . . . . 900--907
A. M. Bloch and Y. Kodama Dispersive Regularization of the Whitham Equation for the Toda Lattice . . . . . 909--928 Mark W. Coffey Phase Space Analysis for the Direct Algebraic Method for Nonlinear Evolution and Wave Equations . . . . . . . . . . . 929--945 S. C. Chikwendu and C. V. Easwaran Multiple-Scale Solution of Initial-Boundary Value Problems for Weakly Nonlinear Wave Equations on the Semi-Infinite Line . . . . . . . . . . . 946--958 Weinan E Homogenization of Scalar Conservation Laws with Oscillatory Forcing Terms . . 959--972 F. Delaurens and F. J. Mustieles A Deterministic Particle Method for Solving Kinetic Transport Equations: The Semiconductor Boltzmann Equation Case 973--988 J. Freitas Bennaton General Solutions for Semilinear Elliptic Equations with Electric-Thermal Coupling . . . . . . . . . . . . . . . . 989--997 A. C. Fowler and I. Frigaard and S. D. Howison Temperature Surges in Current-Limiting Circuit Devices . . . . . . . . . . . . 998--1011 Kevin Paulson and William Breckon and Michael Pidcock Electrode Modelling in Electrical Impedance Tomography . . . . . . . . . . 1012--1022 Erkki Somersalo and Margaret Cheney and David Isaacson Existence and Uniqueness for Electrode Models for Electric Current Computed Tomography . . . . . . . . . . . . . . . 1023--1040 D. Benedetto and M. Pulvirenti From Vortex Layers to Vortex Sheets . . 1041--1056 Christoph Borgers and Claude Greengard and Enrique Thomann The Diffusion Limit of Free Molecular Flow In Thin Plane Channels . . . . . . 1057--1075 Feng Wang and Carl L. Gardner and David G. Schaeffer Steady-State Computations of Granular Flow in an Axisymmetric Hopper . . . . . 1076--1088 Aaron L. Fogelson Continuum Models of Platelet Aggregation: Formulation and Mechanical Properties . . . . . . . . . . . . . . . 1089--1110 Antonio Di Carlo and Morton E. Gurtin and Paolo Podio-Guidugli A Regularized Equation for Anisotropic Motion-by-Curvature . . . . . . . . . . 1111--1119 Timothy J. Healey Large Rotatory Oscillations of Transversely Isotropic Rods: Spatio-Temporal Symmetry-Breaking Bifurcation . . . . . . . . . . . . . . 1120--1135 David G. Retzloff and P. C.-H. Chan and Carmen Chicone and Ira Papick Maximal Multiplicity for Sequential Bifurcations of a First-Order Reaction Occurring in Continuous Stirred Tank Reactors Coupled in Series . . . . . . . 1136--1147 M. Ghil and G. Wolansky Non-Hamiltonian Perturbations of Integrable Systems and Resonance Trapping . . . . . . . . . . . . . . . . 1148--1171 L. M. Perko A Global Analysis of the Bogdanov--Takens System . . . . . . . . 1172--1192 Adel Faridani and Erik L. Ritman and Kennan T. Smith Examples of Local Tomography . . . . . . 1193--1198
Pedro Embid and John Hunter and Andrew Majda Simplified Asymptotic Equations for the Transition to Detonation in Reactive Granular Materials . . . . . . . . . . . 1199--1237 Francisco J. Mancebo and José M. Vega Weakly Nonuniform Thermal Effects in a Porous Catalyst: Asymptotic Models and Local Nonlinear Stability of the Steady States . . . . . . . . . . . . . . . . . 1238--1259 Eli Isaacson and Blake Temple Nonlinear Resonance in Systems of Conservation Laws . . . . . . . . . . . 1260--1278 G. J. Merchant and R. J. Braun and K. Brattkus and S. H. Davis Pulsatile Instability in Rapid Directional Solidification: Strongly Nonlinear Analysis . . . . . . . . . . . 1279--1302 K. Brattkus and D. I. Meiron Numerical Simulations of Unsteady Crystal Growth . . . . . . . . . . . . . 1303--1320 P. Ponte Castañeda A New Variational Principle and Its Application to Nonlinear Heterogeneous Systems . . . . . . . . . . . . . . . . 1321--1341 M. Ilic A Class of Moving Boundary Problems Arising in Drying Processes . . . . . . 1342--1359 Erik B. Hansen On Drying of Laundry . . . . . . . . . . 1360--1369 James P. Keener The Core of the Spiral . . . . . . . . . 1370--1390 Victor Barcilon and D.-P. Chen and R. S. Eisenberg Ion Flow Through Narrow Membrane Channels: Part I . . . . . . . . . . . . 1391--1404 Victor Barcilon and D.-P. Chen and R. S. Eisenberg Ion Flow Through Narrow Membrane Channels: Part II . . . . . . . . . . . 1405--1425 Roseanne M. Ford and Peter T. Cummings On the Relationship Between Cell Balance Equations for Chemotactic Cell Populations . . . . . . . . . . . . . . 1426--1441 Eva Jäger and Lee A. Segel On the Distribution of Dominance in Populations of Social Organisms . . . . 1442--1468 John Stensby Lock Detection in Phase-Locked Loops . . 1469--1475 Andrea Gaunersdorfer Time Averages for Heteroclinic Attractors . . . . . . . . . . . . . . . 1476--1489 Ling Wang The X-Ray Transform and Its Inversion for the Series Expansion Basis Functions in Three-Dimensional Tomography . . . . 1490--1499
C. V. Easwaran and S. L. Kokal A Theory for Transient Discharge in Tubes with Applications to a New Type of Viscometer . . . . . . . . . . . . . . . 1501--1508 G. W. Young and S. I. Hariharan and R. Carnahan Flow Effects in a Vertical CVD Reactor 1509--1532 Hyun S. Kim and Andrea Prosperetti Numerical Simulation of the Motion of Rigid Spheres in Potential Flow . . . . 1533--1562 Dmitry Jacobson and John H. Maddocks On the Dynamics of Chains . . . . . . . 1563--1583 Ji Shan Hu and Martin Kruskal Reflection Coefficient Problems for Weakly Nonlinear Wave Equations . . . . 1584--1596 T. S. Angell and A. Kirsch The Conductive Boundary Condition for Maxwell's Equations . . . . . . . . . . 1597--1610 Wei Fu Fang and Kazufumi Ito Identifiability of Semiconductor Defects from LBIC Images . . . . . . . . . . . . 1611--1626 M. Pernarowski and R. M. Miura and J. Kevorkian Perturbation Techniques for Models of Bursting Electrical Activity in Pancreatic $ \beta $-Cells . . . . . . . 1627--1650 S. M. Baer and T. Erneux Singular Hopf Bifurcation to Relaxation Oscillations II . . . . . . . . . . . . 1651--1664 G. Bard Ermentrout Stable Periodic Solutions to Discrete and Continuum Arrays of Weakly Coupled Nonlinear Oscillators . . . . . . . . . 1665--1687 Simona Muratori and Sergio Rinaldi Low- and High-Frequency Oscillations in Three-Dimensional Food Chain Systems . . 1688--1706 Akitaka Dohtani Occurrence of Chaos in Higher-Dimensional Discrete-Time Systems 1707--1721 D. V. Kalbaugh Optimal Search Among False Contacts . . 1722--1750 Sid Browne and E. G. Coffman, Jr. and E. N. Gilbert and Paul E. Wright The Gated Infinite-Server Queue: Uniform Service Times . . . . . . . . . . . . . 1751--1762 Pavel A. Pevzner Multiple Alignment, Communication Cost, and Graph Matching . . . . . . . . . . . 1763--1779 Kazuo Murota and Kiyohiro Ikeda On Random Imperfections for Structures of Regular-Polygonal Symmetry . . . . . 1780--1803
David Hoff and M. Khodja Stability of Coexisting Phases for Compressible van der Waals Fluids . . . 1--14 Satish C. Reddy and Peter J. Schmid and Dan S. Henningson Pseudospectra of the Orr--Sommerfeld operator . . . . . . . . . . . . . . . . 15--47 A. J. Guttmann and C. J. Thompson Subsonic Potential Flow and the Transonic Controversy . . . . . . . . . 48--59 Henry Power and B. Febres de Power Second-Kind Integral Equation Formulation for the Slow Motion of a Particle of Arbitrary Shape Near a Plane Wall in a Viscous Fluid . . . . . . . . 60--70 Xiao Hua Zhao and Keng Huat Kwek and Ji Bin Li and Ke Lei Huang Chaotic and Resonant Streamlines in the ABC Flow . . . . . . . . . . . . . . . . 71--77 M. D. Impey and D. S. Riley and A. A. Wheeler Bifurcation Analysis of Cellular Interfaces in Unidirectional Solidification of a Dilute Binary Mixture . . . . . . . . . . . . . . . . 78--95 V. Nesi On the $ {G} $-closure in the polycrystalline problem . . . . . . . . 96--127 K. G. Shkadinsky and G. V. Shkadinskaya and B. J. Matkowsky and V. A. Volpert Two-Front Traveling Waves in Filtration Combustion . . . . . . . . . . . . . . . 128--140 George Dassios and Zafiria Rigou On the Density of Traction Traces in Scattering of Elastic Waves . . . . . . 141--153 R. G. Hohlfeld and J. I. F. King and T. W. Drueding and G. v. H. Sandri Solution of Convolution Integral Equations by the Method of Differential Inversion . . . . . . . . . . . . . . . 154--167 Xinfu Chen and Avner Friedman and Li Shang Jiang Mathematical Modeling of Semiconductor Lasers . . . . . . . . . . . . . . . . . 168--186 Stavros Busenberg and Wei Fu Fang and Kazufumi Ito Modeling and Analysis of Laser-Beam-Induced Current Images in Semiconductors . . . . . . . . . . . . . 187--204 Joseph E. Carroll and Roland H. Lamberson The Owl's Odyssey. A Continuous Model for the Dispersal of Territorial Species 205--218 Robert Stephen Cantrell and Chris Cosner Should a Park Be an Island? . . . . . . 219--252 Carl Vanvreeswijk and L. F. Abbott Self-Sustained Firing in Populations of Integrate-and-Fire Neurons . . . . . . . 253--264 Alexander F. Vakakis and Cetin Cetinkaya Mode Localization in a Class of Multidegree-of-Freedom Nonlinear Systems with Cyclic Symmetry . . . . . . . . . . 265--282 Kenneth A. Loparo and Xiangbo Feng Lyapunov Exponent and Rotation Number of Two-Dimensional Linear Stochastic Systems with Telegraphic Noise . . . . . 283--300 M. Drmota and U. Schmid Exponential Limiting Distributions in Queueing Systems with Deadlines . . . . 301--318
J. Xin and A. Peirce and J. Chadam and P. Ortoleva Reactive flows in layered porous media. II. The shape stability of the reaction interface . . . . . . . . . . . . . . . 319--339 Dan Rosen and Donald E. Cormack Singular and Near Singular Integrals in the BEM: A Global Approach . . . . . . . 340--357 F. Natterer Sampling in Fan Beam Tomography . . . . 358--380 B. Z. Steinberg and Ehud Heyman The Local Radon Transform and Variable Scale Resolution with Application to Time-Dependent Wave Radiation . . . . . 381--400 Serguei M. Kozlov and Andrei L. Piatnitski Effective Diffusion for a Parabolic Operator with Periodic Potential . . . . 401--418 Daniel R. Baker Reducing Nonlinear Systems of Transport Equations to Laplace's Equation . . . . 419--439 Harry E. Moses and Reese T. Prosser Decay of the Relative Error in the Formation of Acoustic Bullets . . . . . 440--446 S. D. Howison and R. J. Lawrence Fluorescent Transfer of Light in Dyed Materials . . . . . . . . . . . . . . . 447--458 Donald P. Gaver and John A. Morrison and Rogerio Silveira Service-Adaptive Multitype Repairman Problems . . . . . . . . . . . . . . . . 459--470 J. A. Morrison Diffusion Approximation for Head-of-the-Line Processor Sharing for Two Parallel Queues . . . . . . . . . . 471--490 Xiaoming Tan and Charles Knessl A Finite Capacity PS Queue which Models Switching Times . . . . . . . . . . . . 491--554 Shisheng Xie and Charles Knessl On the Transient behavior of the Erlang Loss Model: Heavy Usage Asymptotics . . 555--599
A. J. Weisenborn and B. I. M. ten Bosch Analytical approach to the Oseen drag on a sphere at infinite Reynolds number . . 601--620 Lian Jun An Loss of Hyperbolicity in Elastic-Plastic Material at Finite Strains . . . . . . . 621--654 Gregory A. Kriegsmann Microwave Heating of Dispersive Media 655--669 Valery P. Smyshlyaev The High-Frequency Diffraction of Electromagnetic Waves by Cones of Arbitrary Cross Sections . . . . . . . . 670--688 Qiang Du and Max D. Gunzburger and Janet S. Peterson Modeling and Analysis of a Periodic Ginzburg--Landau Model for Type-II Superconductors . . . . . . . . . . . . 689--717 Chris Budd and Bill Dold and Andrew Stuart Blowup in a Partial Differential Equation with Conserved First Integral 718--742 Fenghsan Bai and Alastair Spence and Andrew M. Stuart The Numerical Computation of Heteroclinic Connections in Systems of Gradient Partial Differential Equations 743--769 Michael J. Ward and Joseph B. Keller Strong Localized Perturbations of Eigenvalue Problems . . . . . . . . . . 770--798 Michael J. Ward and William D. Henshaw and Joseph B. Keller Summing Logarithmic Expansions for Singularly Perturbed Eigenvalue Problems 799--828 Bruce J. Chaderjian and Kenneth P. Bube Recovery of Perturbations in an Acoustic Medium with Attenuation from Several Plane Wave Responses . . . . . . . . . . 829--846 David Colton and Peter Monk On a Class of Integral Equations of the First Kind in Inverse Scattering Theory 847--860 Paul Smolen and David Terman and John Rinzel Properties of a Bursting Model with Two Slow Inhibitory Variables . . . . . . . 861--892 M. G. Beaty and M. M. Dodson The Distribution of Sampling Rates for Signals with Equally Wide, Equally Spaced Spectral Bands . . . . . . . . . 893--906
S. E. Solovyov and V. A. Volpert and S. P. Davtyan Radially Symmetric Flow of Reacting Liquid with Changing Viscosity . . . . . 907--914 David J. Bergman Hierarchies of Stieltjes Functions and Their Application to the Calculation of Bounds for the Dielectric Constant of a Two-Component Composite Medium . . . . . 915--930 J. Boersma and E. Danicki On the Solution of an Integral Equation Arising in Potential Problems for Circular and Elliptic Disks . . . . . . 931--941 Masaru Ikehata An Inverse Problem for the Plate in the Love--Kirchhoff Theory . . . . . . . . . 942--970 J. N. Dewynne and A. C. Fowler and P. S. Hagan Multiple Reaction Fronts in the Oxidation-Reduction of Iron-Rich Uranium Ores . . . . . . . . . . . . . . . . . . 971--989 Peter W. Bates and Paul C. Fife The Dynamics of Nucleation for the Cahn--Hilliard Equation . . . . . . . . 990--1008 M. R. Booty and R. Haberman and A. A. Minzoni The Accommodation of Traveling Waves of Fisher's Type to the Dynamics of the Leading Tail . . . . . . . . . . . . . . 1009--1025 Sze Bi Hsu and P. Waltman On a System of Reaction-Diffusion Equations Arising from Competition in an Unstirred Chemostat . . . . . . . . . . 1026--1044 Lisa Holden and Thomas Erneux Slow passage through a Hopf bifurcation: from oscillatory to steady state solutions . . . . . . . . . . . . . . . 1045--1058 Ji Bin Li and Jian Ming Zhang New Treatment on Bifurcations of Periodic Solutions and Homoclinic Orbits at High $r$ in the Lorenz Equations . . 1059--1071 Ulf Grenander and Daniel MacRae Keenan On the Shape of Plane Images . . . . . . 1072--1094 Harold J. Kushner and L. Felipe Martins Heavy Traffic Analysis of a Data Transmission System with Many Independent Sources . . . . . . . . . . 1095--1122 I. J. B. F. Adan and J. Wessels and W. H. M. Zijm Analysing Multiprogramming Queues by Generating Functions . . . . . . . . . . 1123--1131 Yongzhi Yang and Charles Knessl Conditional Sojourn Time Moments in the Finite Capacity GI/M/1 Queue with Processor-Sharing Service . . . . . . . 1132--1193
Andrew N. Norris Waves in Periodically Layered Media: A Comparison of Two Theories . . . . . . . 1195--1209 R. Kuske and Z. Schuss and I. Goldhirsch and S. H. Noskowicz Schrödinger's Equation on a One-Dimensional Lattice with Weak Disorder . . . . . . . . . . . . . . . . 1210--1252 P. Schiavone and C. Constanda Oscillation Problems in Thin Plates with Transverse Shear Deformation . . . . . . 1253--1263 Irwin S. Goldberg and Robert T. Folk Solutions to Time-Dependent Pure-End-Condition Problems of Elasticity: Pressure-Step Wave Propagation and End-Resonance Effects 1264--1292 Richard B. Pember Numerical Methods for Hyperbolic Conservation Laws with Stiff Relaxation I. Spurious Solutions . . . . . . . . . 1293--1330 Paul K. Newton Rapidly Forced Initial Value Problems 1331--1351 Alain Bossavit Boundary Value Problems with Symmetry and Their Approximation by Finite Elements . . . . . . . . . . . . . . . . 1352--1380 James T. Kirby and Changhoon Lee Short Waves in a Rotating, Shallow Tank with Bathymetry: A Model Equation in the Mild-Slope Approximation . . . . . . . . 1381--1400 Rupert Klein and D. Scott Stewart The Relation between Curvature, Rate State-Dependence, and Detonation Velocity . . . . . . . . . . . . . . . . 1401--1435 Paul Frankel and Tim Kiemels Relative Phase Behavior of Two Slowly Coupled Oscillators . . . . . . . . . . 1436--1446 Horst R. Thieme and Carlos Castillo-Chavez How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS? . . . . . . . . . . . . . . . 1447--1479 Ovide Arino and Marek Kimmel Comparison of Approaches to Modeling of Cell Population Dynamics . . . . . . . . 1480--1504 R. M. Ford and P. T. Cummings Errata: ``On the relationship between cell balance equations for chemotactic cell populations'' [SIAM J. Appl. Math. \bf 52 (1992), no. 5, 1426--1441, MR 93h:92018] . . . . . . . . . . . . . . . 1505--1505
Anne-Sophie Bonnet-Ben Dhia and Patrick Joly Mathematical Analysis of Guided Water Waves . . . . . . . . . . . . . . . . . 1507--1550 J. S. Kim and F. A. Williams Structures of Flow and Mixture-Fraction Fields for Counterflow Diffusion Flames with Small Stoichiometric Mixture Fractions . . . . . . . . . . . . . . . 1551--1566 Carlos Vázquez-Espí and Amable Liñán The Effect of Square Corners on the Ignition of Solids . . . . . . . . . . . 1567--1590 T. R. Marchant and N. F. Smyth Microwave Heating of Materials with Nonohmic Conductance . . . . . . . . . . 1591--1612 Jonathan H. C. Luke A Variational Upper Bound on the Renormalized Mean Sedimentation Speed in Concentrated Suspensions of Identical Randomly Arranged Spheres . . . . . . . 1613--1635 Fadil Santosa and Michael Vogelius First-Order Corrections to the Homogenized Eigenvalues of a Periodic Composite Medium . . . . . . . . . . . . 1636--1668 Jacob Rubinstein and Peter Sternberg and Joseph B. Keller Front Interaction and Nonhomogeneous Equilibria for Tristable Reaction-Diffusion Equations . . . . . . 1669--1685 David J. Eyre Systems of Cahn--Hilliard equations . . 1686--1712 Jonathan A. Sherratt Cellular Growth Control and Travelling Waves of Cancer . . . . . . . . . . . . 1713--1730 William Rundell Determining the Death Rate for an Age-Structured Population from Census Data . . . . . . . . . . . . . . . . . . 1731--1746 Tsuyoshi Kimura and Takashi Suzuki A Parabolic Inverse Problem Arising in a Mathematical Model for Chromatography 1747--1761 Yitshak M. Ram Inverse Eigenvalue Problem for a Modified Vibrating System . . . . . . . 1762--1775 Akitaka Dohtani Existence of Stable Quasi-Periodic Solutions and Persistence of Business Fluctuations . . . . . . . . . . . . . . 1776--1784
J. M. Vanden-Broeck and E. O. Tuck Flow Near the Intersection of a Free Surface with a Vertical Wall . . . . . . 1--13 Joseph Yang and Toshi Kubota The Steady Motion of a Symmetric, Finite Core Size, Counterrotating Vortex Pair 14--25 Onno A. Van Herwaarden Spread of Pollution by Dispersive Groundwater Flow . . . . . . . . . . . . 26--41 L. A. Romero Low or High Peclet Number Flow Past a Sphere in a Saturated Porous Medium . . 42--71 C. P. Please and P. S. Hagan and D. W. Schwendeman Light-Off Behavior of Catalytic Converters . . . . . . . . . . . . . . . 72--92 Kebir Dgaygui and Patrick Joly Absorbing Boundary Conditions for Linear Gravity Waves . . . . . . . . . . . . . 93--131 B. J. Matkowsky and V. Volpert Spiral Gasless Condensed Phase Combustion . . . . . . . . . . . . . . . 132--146 Alvin Bayliss and Bernard J. Matkowsky From Traveling Waves to Chaos in Combustion . . . . . . . . . . . . . . . 147--174 Christian Schmeiser A Model for the Transient Behaviour of Long-Channel MOSFETs . . . . . . . . . . 175--194 Tsutomu Ikeda and Yasumasa Nishiura Pattern Selection for Two Breathers . . 195--230 Jack D. Dockery and Roger Lui Existence and Stability of Traveling Wave Solutions for a Population Genetic Model via Singular Perturbations . . . . 231--248 Charles G. Lange and Robert M. Miura Singular Perturbation Analysis of Boundary-Value Problems for Differential-Difference Equations. V. Small Shifts with Layer Behavior . . . . 249--272 Charles G. Lange and Robert M. Miura Singular perturbation analysis of boundary value problems for differential-difference equations. VI. Small shifts with rapid oscillations . . 273--283
Z. Rusak Novel Similarity Solutions of the Sonic Small-Disturbance Equation with Applications to Airfoil Transonic Aerodynamics . . . . . . . . . . . . . . 285--308 L. A. Romero On the Monotonicity of the Nusselt Number as a Function of the Peclet Number . . . . . . . . . . . . . . . . . 309--316 Eugene C. Gartland, Jr. Analysis of a Simplified Liquid Crystal Shear-Flow Model . . . . . . . . . . . . 317--332 Albert Fannjiang and George Papanicolaou Convection Enhanced Diffusion for Periodic Flows . . . . . . . . . . . . . 333--408 Carl L. Gardner The Quantum Hydrodynamic Model for Semiconductor Devices . . . . . . . . . 409--427 Rob Lipton and Jim Northrup Optimal Bounds on the In-Plane Shear Moduli for Orthotropic Elastic Composites . . . . . . . . . . . . . . . 428--442 William G. Faris and Woody J. Tsay Time Delay in Random Scattering . . . . 443--455 S. F. Ellermeyer Competition in the Chemostat: Global Asymptotic Behavior of a Model with Delayed Response in Growth . . . . . . . 456--465 Chichia Chiu and Frank C. Hoppensteadt A Particle Method for Population Waves 466--477 G. B. Ermentrout and N. Kopell Inhibition-Produced Patterning in Chains of Coupled Nonlinear Oscillators . . . . 478--507 Charles Knessl On the Distribution of the Maximum Number of Broken Machines for the Repairman Problem . . . . . . . . . . . 508--547 Peter March and Timo Seppäläinen Bounds for Least Relative Vacancy in a Simple Mosaic Process . . . . . . . . . 548--558 Alfred Inselberg and Bernard Dimsdale Multidimensional lines. I. Representation . . . . . . . . . . . . . 559--577 Alfred Inselberg and Bernard Dimsdale Multidimensional Lines II: Proximity and Applications . . . . . . . . . . . . . . 578--596
A. C. Or The dynamics of a Tippe top . . . . . . 597--609 C. J. Budd and J. W. Dold and A. M. Stuart Blow-Up in a System of Partial Differential Equations with Conserved First Integral. Part II: Problems with Convection . . . . . . . . . . . . . . . 610--640 Zhangxin Chen Large-Scale Averaging Analysis of Single Phase Flow in Fractured Reservoirs . . . 641--659 M. G. Rabbani and James W. Warner Shortcomings of Existing Finite Element Formulations for Subsurface Water Pollution Modeling and Its Rectification: One-Dimensional Case . . 660--673 M. Ghulam Rabbani Direct-Formulation Finite Element (DFFE) Method for Groundwater Flow Modeling: Two-Dimensional Case . . . . . . . . . . 674--687 M. D. Spector and T. Miloh Stability of Nonlinear Periodic Internal Waves in a Deep Stratified Fluid . . . . 688--707 Lian Jun An and Anthony Peirce The Effect of Microstructure on Elastic-Plastic Models . . . . . . . . . 708--730 Gelu I. Pa\csa Estimations for Nonsymmetric Effective Coefficients . . . . . . . . . . . . . . 731--737 Frank E. Baginski The Computation of One-Parameter Families of Bifurcating Elastic Surfaces 738--773 J. A. Powell and E. M. Wright and J. V. Moloney Reflection of Localized Beams From a Nonlinear Absorbing Interface . . . . . 774--788 Helen Byrne and John Norbury Stable Solutions for a Catalytic Converter . . . . . . . . . . . . . . . 789--813 M. Pernarowski Fast Subsystem Bifurcations in a Slowly Varying Lienard System Exhibiting Bursting . . . . . . . . . . . . . . . . 814--832 Y. Steinberg and B. Z. Bobrovsky and Z. Schuss Fixed-Point Smoothing of Scalar Diffusions I: An Asymptotically Optimal Smoother . . . . . . . . . . . . . . . . 833--853 Charles Knessl and Charles Tier A Processor-Shared Queue That Models Switching Times: Heavy Usage Asymptotics 854--875
M. Gegick and G. W. Young Plasma Carburization of an Axisymmetric Steel Sample . . . . . . . . . . . . . . 877--906 Pawel Lewicki Long Time Evolution of Wavefronts in Random Media . . . . . . . . . . . . . . 907--934 David A. Coker and W. Brent Lindquist Structural Reliability Analysis for One-Dimensional, Two-Phase Miscible Flow 935--953 J.-Ph. Chancelier and M. Cohen De Lara and F. Pacard Analysis of a Conservation PDE with Discontinuous Flux: a Model of Settler 954--995 M. Gregory Forest and Q. Wang Dynamics of Slender Viscoelastic Free Jets . . . . . . . . . . . . . . . . . . 996--1032 T. I. Haaker and A. H. P. Van der Burgh On the Dynamics of Aeroelastic Oscillators with One Degree of Freedom 1033--1047 David L. Brown and M. Gregory Forest and Brian J. Miller and N. Anders Petersson Computation and Stability of Fluxons in a Singularly Perturbed Sine-Gordon Model of the Josephson Junction . . . . . . . 1048--1066 Wei Fu Fang and Kazufumi Ito Reconstruction of Semiconductor Doping Profile from Laser-Beam-Induced Current Image . . . . . . . . . . . . . . . . . 1067--1082 Ira B. Schwartz and Thomas Erneux Subharmonic Hysteresis and Period Doubling Bifurcations for a Periodically Driven Laser . . . . . . . . . . . . . . 1083--1100 M. Frankel and V. Roytburd and G. Sivashinsky A Sequence of Period Doublings and Chaotic Pulsations in a Free Boundary Problem Modeling Thermal Instabilities 1101--1112 Hal L. Smith and Paul Waltman Competition for a Single Limiting Resource in Continuous Culture: the Variable-Yield Model . . . . . . . . . . 1113--1131 J. G. Gaines and T. J. Lyons Random Generation of Stochastic Area Integrals . . . . . . . . . . . . . . . 1132--1146 Jing Dong Mei and Charles Tier Asymptotic Approximations for a Queueing Network with Multiple Classes . . . . . 1147--1180
Carlos Vázquez-Espí and Amable Liñán Ignition of a Rectangular Solid by an External Heat Flux . . . . . . . . . . . 1181--1202 Joyce R. McLaughlin and Peter L. Polyakov and Paul E. Sacks Reconstruction of a Spherically Symmetric Speed of Sound . . . . . . . . 1203--1223 Bruce J. Chaderjian A Uniqueness Theorem for a Lossy Inverse Problem in Reflection Seismology . . . . 1224--1249 Oliver Knill Diagonalization of Abel's integral operator . . . . . . . . . . . . . . . . 1250--1253 Manuel Núñez Localized Eigenmodes of the Induction Equation . . . . . . . . . . . . . . . . 1254--1267 Lianger Gong and Samuel S. Shen Multiple Supercritical Solitary Wave Solutions of the Stationary Forced Korteweg--de Vries Equation and Their Stability . . . . . . . . . . . . . . . 1268--1290 N. J. Balmforth and G. R. Ierley and E. A. Spiegel Chaotic Pulse Trains . . . . . . . . . . 1291--1334 M. Falcone and T. Giorgi and P. Loreti Level Sets of Viscosity Solutions: Some Applications to Fronts and Rendez-Vous Problems . . . . . . . . . . . . . . . . 1335--1354 S.-I. Ei and E. Yanagida Dynamics of Interfaces in Competition-Diffusion Systems . . . . . 1355--1373 Jonathan A. Sherratt On the Evolution of Periodic Plane Waves in Reaction-Diffusion Systems of $ \lambda $-$ \omega $ Type . . . . . . . 1374--1385 Joseph Paullet and Bard Ermentrout and William Troy The Existence of Spiral Waves in an Oscillatory Reaction-Diffusion System 1386--1401 Jacques Bélair and Sue Ann Campbell Stability and bifurcations of equilibria in a multiple-delayed differential equation . . . . . . . . . . . . . . . . 1402--1424 S. Roy Choudhury Turing Instability in Competition Models with Delay I: Linear Theory . . . . . . 1425--1450 S. Roy Choudhury Analysis of Spatial Structure in a Predator-Prey Model with Delay II: Nonlinear Theory . . . . . . . . . . . . 1451--1467 Roberto Barbagallo and Marina Mochi and Francesco Zirilli Asymptotic Expansion of the Waiting Time Distribution of Two Models of a Closed Processor-Sharing System: Heavy Usage 1468--1491
R. H. Tew Geometrical Aspects of the Diffraction of Critically Incident Bulk Waves and Gaussian Beams . . . . . . . . . . . . . 1493--1520 Luis L. Bonilla and Francisco J. Higuera and Stephanos Venakides The Gunn Effect: Instability of the Steady State and Stability of the Solitary Wave in Long Extrinsic Semiconductors . . . . . . . . . . . . . 1521--1541 David C. Dobson and Fadil Santosa Resolution and Stability Analysis of an Inverse Problem in Electrical Impedance Tomography: Dependence on the Input Current Patterns . . . . . . . . . . . . 1542--1560 J. J. L. Velázquez On the Dynamics of a Closed Thermosyphon 1561--1593 Stephen B. Margolis Resonant Mode Interactions and the Bifurcation of Combustion-Driven Acoustic Oscillations in Resonance Tubes 1594--1633 Satish C. Reddy and Lloyd N. Trefethen Pseudospectra of the Convection-Diffusion Operator . . . . . 1634--1649 Andrew C. Fowler and William B. Krantz A Generalized Secondary Frost Heave Model . . . . . . . . . . . . . . . . . 1650--1675 Carl L. Gardner and David G. Schaeffer Numerical Simulation of Uniaxial Compression of a Granular Material with Wall Friction . . . . . . . . . . . . . 1676--1692 Peter A. Clarkson and Elizabeth L. Mansfield Algorithms for the Nonclassical Method of Symmetry Reductions . . . . . . . . . 1693--1719 Joseph E. Paullet and G. Bard Ermentrout Stable Rotating Waves in Two-Dimensional Discrete Active Media . . . . . . . . . 1720--1744 Charles Knessl and Craig Steven Peters Exact and Asymptotic Solutions for the Time-Dependent Problem of Collective Ruin I . . . . . . . . . . . . . . . . . 1745--1767 Xiaoming Tan and Charles Knessl Heavy Traffic Asymptotics for a Gated, Infinite-Server Queue with Uniform Service Times . . . . . . . . . . . . . 1768--1779 Nigel J. Newton Variance Reduction for Simulated Diffusions . . . . . . . . . . . . . . . 1780--1805
Christoph Börgers and Edward W. Larsen The Transversely Integrated Scalar Flux of a Narrowly Focused Particle Beam . . 1--22 M. P. Ida and M. J. Miksis Dynamics of a Lamella in a Capillary Tube . . . . . . . . . . . . . . . . . . 23--57 S. E. Bechtel and K. D. Bolinger and J. Z. Cao and M. G. Forest Torsional Effects in High-Order Viscoelastic Thin-Filament Models . . . 58--99 Phoebus Rosakis An Equal Area Rule for Dissipative Kinetics of Propagating Strain Discontinuities . . . . . . . . . . . . 100--123 Roger Grimshaw and Nalini Joshi Weakly Nonlocal Solitary Waves in a Singularly Perturbed Korteweg--de Vries Equation . . . . . . . . . . . . . . . . 124--135 Lian Jun An and Anthony Peirce A Weakly Nonlinear Analysis of Elasto-Plastic-Microstructure Models . . 136--155 S. Jonathan Chapman and Qiang Du and Max D. Gunzburger On the Lawrence--Doniach and anisotropic Ginzburg--Landau models for layered superconductors . . . . . . . . . . . . 156--174 I. Gasser and P. Szmolyan Detonation and Deflagration Waves with Multistep Reaction Schemes . . . . . . . 175--191 J. T. Ratnanather and P. G. Daniels Solution of the Thermal Boundary Layer Equations in Regions of Flow Reversal 192--204 Alexander V. Panfilov and James P. Keener Dynamics of dissipative structures in reaction-diffusion equations . . . . . . 205--219 Paul F. Pinsky Synchrony and Clustering in an Excitatory Neural Network Model with Intrinsic Relaxation Kinetics . . . . . 220--241 Beno\^\it Grébert and Ricardo Weder Reconstruction of a Potential on the Line that is A Priori Known on the Half Line . . . . . . . . . . . . . . . . . . 242--254 Kenneth P. Bube Uniqueness of Reflector Depths and Characterization of the Slowness Null Space in Linearized Seismic Reflection Tomography . . . . . . . . . . . . . . . 255--266 J. N. Dewynne and P. Wilmott A Note on Average Rate Options with Discrete Sampling . . . . . . . . . . . 267--276
Julian D. Cole and Donald A. Drew and Joseph E. Flaherty and Bernard J. Matkowsky and Lu Ting Preface . . . . . . . . . . . . . . . . 277--278 Marcus J. Grote and Joseph B. Keller Exact nonreflecting boundary conditions for the time dependent wave equation . . 280--297 N. J. Balmforth and L. N. Howard and E. A. Spiegel Instability of Rapidly Rotating Polytropes . . . . . . . . . . . . . . . 298--331 Jacques G. L. Laforgue and Robert E. O'Malley, Jr. Shock Layer Movement for Burgers' Equation . . . . . . . . . . . . . . . . 332--347 Donald S. Cohen and Andrew B. White, Jr. and Thomas P. Witelski Shock Formation in a Multidimensional Viscoelastic Diffusive System . . . . . 348--368 Ting Lu On-Surface Conditions for Structural Acoustic Interactions in Moving Media 369--389 Robert Burridge Asymptotic Evaluation of Integrals Related to Time-Dependent Fields Near Caustics . . . . . . . . . . . . . . . . 390--409 Julian D. Cole Limit Process Expansions and Homogenization . . . . . . . . . . . . . 410--424 Michael J. Ward and Luis G. Reyna Internal Layers, Small Eigenvalues, and the Sensitivity of Metastable Motion . . 425--445 J. Kevorkian and J. Yu and L. Wang Weakly Nonlinear Waves for a Class of Linearly Unstable Hyperbolic Conservation Laws with Source Terms . . 446--484 A. J. Bernoff and R. Kuske and B. J. Matkowsky and V. Volpert Mean Field Effects for Counterpropagating Traveling Wave Solutions of Reaction-Diffusion Systems 485--519 Slimane Adjerid and Mohammed Aiffa and Joseph E. Flaherty High-Order Finite Element Methods for Singularly Perturbed Elliptic and Parabolic Problems . . . . . . . . . . . 520--543 Frank C. Hoppensteadt Singular Perturbation Solutions of Noisy Systems . . . . . . . . . . . . . . . . 544--551 Stephen Childress Turbulent Baker's Maps . . . . . . . . . 552--563 Donald Ludwig A Theory of Sustainable Harvesting . . . 564--575
A. J. Weisenborn and B. I. M. ten Bosch On the Oseen drag on a sphere . . . . . 577--592 Marijan Ribari\vc and Luka \vSu\vster\vsi\vc Expansions in Terms of Moments of Time-Dependent, Moving Charges and Currents . . . . . . . . . . . . . . . . 593--624 Eli Isaacson and Blake Temple Convergence of the $ 2 \times 2 $ Godunov method for a general resonant nonlinear balance law . . . . . . . . . 625--640 Leif Arkeryd and Reinhard Illner The Broadwell model in a box: strong $ {L} \sp 1 $-convergence to equilibrium 641--650 Helge Holden and Nils Henrik Risebro and Aslak Tveito Maximum Principles for a Class of Conservation Laws . . . . . . . . . . . 651--661 D. A. Edwards and D. S. Cohen A Unusual Moving Boundary Condition Arising in Anomalous Diffusion Problems 662--676 Wolfgang Ring Identification of a Core from Boundary Data . . . . . . . . . . . . . . . . . . 677--706 Vladimir A. Sharafutdinov On Emission Tomography of Inhomogeneous Media . . . . . . . . . . . . . . . . . 707--718 A. S. Vasudeva Murthy A Note on the Differential Inversion Method of Hohlfeld et al . . . . . . . . 719--722 Dan Rosen and Donald E. Cormack The Continuation Approach: A General Framework for the Analysis and Evaluation of Singular and Near-singular Integrals . . . . . . . . . . . . . . . 723--762 Sze Bi Hsu and Tzy Wei Huang Global Stability for a Class of Predator-Prey Systems . . . . . . . . . 763--783 Thomas M. Chen and Vijay K. Samalam Time-dependent behavior of fluid buffer models with Markov input and constant output rates . . . . . . . . . . . . . . 784--799 Peter Hall On the Effect of Measuring a Self-similar Process . . . . . . . . . . 800--808 Alain Simonian Asymptotic Distribution of Exit Times for Small-Noise Diffusions . . . . . . . 809--826 Antonin Chambolle Image Segmentation by Variational Methods: Mumford and Shah Functional and the Discrete Approximations . . . . . . 827--863 Fadil Santosa and Michael Vogelius Erratum to the paper: ``First-order corrections to the homogenized eigenvalues of a periodic composite medium'' [SIAM J. Appl. Math. \bf 53 (1993), no. 6, 1636--1668, MR 94h:35188] 864--864
Michael Siegel A Study of Singularity Formation in the Kelvin--Helmholtz Instability with Surface Tension . . . . . . . . . . . . 865--891 Jean-Marc Vanden-Broeck and Touvia Miloh Computations of Steep Gravity Waves by a Refinement of Davies--Tulin's Approximation . . . . . . . . . . . . . 892--903 C. J. Luke and P. A. Martin Fluid-Solid Interaction: Acoustic Scattering by a Smooth Elastic Obstacle 904--922 Meng Wang and David R. Kassoy Nonlinear Oscillations in a Resonant Gas Column: An Initial-Boundary-Value Study 923--951 Louis A. Romero Low or High Peclet Number Flow Past a Prolate Spheroid in a Saturated Porous Medium . . . . . . . . . . . . . . . . . 952--974 Louis A. Romero Forced Convection Past a Slender Body in a Saturated Porous Medium . . . . . . . 975--985 Richard A. Klemm Models of Vortices in Anisotropic Superconductors . . . . . . . . . . . . 986--1015 Simon D. Watt and Anthony J. Roberts The Accurate Dynamic Modelling of Contaminant Dispersion in Channels . . . 1016--1038 David A. Edwards Constant Front Speed in Weakly Diffusive Non-Fickian Systems . . . . . . . . . . 1039--1058 Allan R. Willms An Exact Solution of Stikker's Nonlinear Heat Equation . . . . . . . . . . . . . 1059--1073 Joel Franklin and Wyeth Bair The Effect of a Refractory Period on the Power Spectrum of Neuronal Discharge . . 1074--1093 George Majda and Mu Sheng Wei Relationships Between a Potential and Its Scattering Frequencies . . . . . . . 1094--1116 Norman R. Lebovitz and Adriana I. Pesci Dynamic Bifurcation in Hamiltonian Systems with One Degree of Freedom . . . 1117--1133 Stanley Ocken Recognizing Convergent Orbits of Discrete Dynamical Systems . . . . . . . 1134--1160
Ian A. Frigaard The Dynamics of Spray-Formed Billets . . 1161--1203 Yoshifumi Ogami and Angela Y. Cheer Simulations of Unsteady Compressible Fluid Motion by an Interactive Cored Particle Method . . . . . . . . . . . . 1204--1226 A. J. Weisenborn and B. I. M. ten Bosch The Oseen drag at infinite Reynolds number . . . . . . . . . . . . . . . . . 1227--1232 S. Jonathan Chapman Superheating Field of Type II Superconductors . . . . . . . . . . . . 1233--1258 S. Jonathan Chapman A Mean-field Model of Superconducting Vortices in Three Dimensions . . . . . . 1259--1274 S. Jonathan Chapman and G. Richardson Motion of Vortices in Type II Superconductors . . . . . . . . . . . . 1275--1296 Nancy Kopell and Michael Landman Spatial Structure of the Focusing Singularity of the Nonlinear Schrödinger Equation: A Geometrical Analysis . . . . 1297--1323 Andreas Kirsch and Peter Monk A finite element/spectral method for approximating the time-harmonic Maxwell system in $ {\bf {R}}^3 $ . . . . . . . 1324--1344 George Dassios and Zafiria Rigou Elastic Herglotz functions . . . . . . . 1345--1361 Richard Miller and James Vesenka and Eric Henderson Tip Reconstruction for the Atomic Force Microscope . . . . . . . . . . . . . . . 1362--1371 Victoria Booth and Thomas Erneux Understanding Propagation Failure as a Slow Capture Near a Limit Point . . . . 1372--1389 H. E. Layton and E. Bruce Pitman and Mark A. Knepper A Dynamic Numerical Method for Models of the Urine Concentrating Mechanism . . . 1390--1418 Richard B. Dickinson and Robert T. Tranquillo Transport Equations and Indices for Random and Biased Cell Migration Based on Single Cell Properties . . . . . . . 1419--1454 Zvi Rusak Transonic Flow Around Optimum Critical Airfoils . . . . . . . . . . . . . . . . 1455--1467
A. B. Olde Daalhuis and S. J. Chapman and J. R. King and J. R. Ockendon and R. H. Tew Stokes Phenomenon and Matched Asymptotic Expansions . . . . . . . . . . . . . . . 1469--1483 M. C. A. Kropinski and Michael J. Ward and Joseph B. Keller A hybrid asymptotic-numerical method for low Reynolds number flows past a cylindrical body . . . . . . . . . . . . 1484--1510 Robert Almgren Crystalline Saffman--Taylor fingers . . 1511--1535 Shi Jin Numerical Integrations of Systems of Conservation Laws of Mixed Type . . . . 1536--1551 Lionel Sainsaulieu Traveling Waves Solution of Convection-Diffusion Systems Whose Convection Terms Are Weakly Nonconservative: Application to the Modeling of Two-Phase Fluid Flows . . . 1552--1576 John M. Stockie and Brian T. R. Wetton Stability Analysis for the Immersed Fiber Problem . . . . . . . . . . . . . 1577--1591 Alistair D. Fitt and Amanda D. Kelly and Colin P. Please Crack Propagation Models for Rock Fracture in a Geothermal Energy Reservoir . . . . . . . . . . . . . . . 1592--1608 L. Mahadevan and Joseph B. Keller Periodic Folding of Thin Sheets . . . . 1609--1624 Luis L. Bonilla and Francisco J. Higuera The Onset and End of the Gunn Effect in Extrinsic Semiconductors . . . . . . . . 1625--1649 Amitabha Bose Symmetric and Antisymmetric Pulses in Parallel Coupled Nerve Fibres . . . . . 1650--1674 Yang Kuang and Joseph W.-H. So Analysis of a Delayed Two-Stage Population Model with Space-Limited Recruitment . . . . . . . . . . . . . . 1675--1696 Wai Yuan Tan and Si Chin Tang and Sho Rong Lee Effects of Randomness of Risk Factors on the HIV Epidemic in Homosexual Populations . . . . . . . . . . . . . . 1697--1723 David Colton and Rainer Kress Eigenvalues of the Far Field Operator for the Helmholtz Equation in an Absorbing Medium . . . . . . . . . . . . 1724--1735 Alemdar Hasanov An Inverse Problem for an Elastoplastic Medium . . . . . . . . . . . . . . . . . 1736--1752 V. Zharnitsky The Geometrical Description of the Nonlinear Dynamics of a Multiple Pendulum . . . . . . . . . . . . . . . . 1753--1763 Shui-Nee Chow and Wen Xian Shen Dynamics in a Discrete Nagumo Equation: Spatial Topological Chaos . . . . . . . 1764--1781 Zbigniew Galias On a Discrete-Time Nonlinear System Associated with the Second-Order Digital Filter . . . . . . . . . . . . . . . . . 1782--1799
P. G. Drazin and Y. Tourigny Numerical Study of Bifurcations by Analytic Continuation of a Function Defined by a Power Series . . . . . . . 1--18 S. A. Khuri Biorthogonal Series Solution of Stokes Flow Problems in Sectorial Regions . . . 19--39 Igor Mezi\'c and John F. Brady and Stephen Wiggins Maximal Effective Diffusivity for Time-Periodic Incompressible Fluid Flows 40--56 P. L. Roe and D. S. Balsara Notes on the Eigensystem of Magnetohydrodynamics . . . . . . . . . . 57--67 Alex Figotin and Peter Kuchment Band-gap structure of spectra of periodic dielectric and acoustic media. I. Scalar model . . . . . . . . . . . . 68--88 Angela Pawell and Klaus-Dieter Krannich Dissolution Effects in Transport in Porous Media . . . . . . . . . . . . . . 89--118 Marc Courtemanche and James P. Keener and Leon Glass A Delay Equation Representation of Pulse Circulation on a Ring in Excitable Media 119--142 Denise E. Kirschner A Diffusion Model for AIDS in a Closed, Heterosexual Population: Examining Rates of Infection . . . . . . . . . . . . . . 143--166 Alexander I. Katsevich and Alexander G. Ramm Pseudolocal Tomography . . . . . . . . . 167--191 Alexander I. Katsevich and Alexander G. Ramm Approximate Inverse Geophysical Scattering on a Small Body . . . . . . . 192--218 Tuncay Aktosun Inverse Schrödinger Scattering on the Line with Partial Knowledge of the Potential . . . . . . . . . . . . . . . 219--231 Yitshak M. Ram and Sylvan Elhay An Inverse Eigenvalue Problem for the Symmetric Tridiagonal Quadratic Pencil with Application to Damped Oscillatory Systems . . . . . . . . . . . . . . . . 232--244 Jacques Belair and Sue Ann Campbell and P. van den Driessche Frustration, Stability, and Delay-Induced Oscillations in a Neural Network Model . . . . . . . . . . . . . 245--255 Pawel Lewicki and Robert Burridge and Maarten V. de Hoop Beyond Effective Medium Theory: Pulse Stabilization for Multimode Wave Propagation in High-Contrast Layered Media . . . . . . . . . . . . . . . . . 256--276 R. Z. Khasminskii and G. Yin and Q. Zhang Asymptotic Expansions of Singularly Perturbed Systems Involving Rapidly Fluctuating Markov Chains . . . . . . . 277--293 C. Ballester and V. Caselles and M. González Affine Invariant Segmentation by Variational Method . . . . . . . . . . . 294--325
Giovanni Russo and Peter Smereka Kinetic Theory for Bubbly Flow I: Collisionless Case . . . . . . . . . . . 327--357 Giovanni Russo and Peter Smereka Kinetic theory for bubbly flow. II. Fluid dynamic limit . . . . . . . . . . 358--371 Juan C. Gomez and Vianey Villamizar Response of a Viscous Incompressible Fluid Cylinder to an Incident Plane Compressional Elastic Wave . . . . . . . 372--387 Stefan Diehl A Conservation Law with Point Source and Discontinuous Flux Function Modelling Continuous Sedimentation . . . . . . . . 388--419 D. L. Bosley An Improved Matching Procedure for Transient Resonance Layers in Weakly Nonlinear Oscillatory Systems . . . . . 420--445 Victor Barcilon Singular Perturbation Analysis of the Fokker--Planck Equation: Kramers' Underdamped Problem . . . . . . . . . . 446--479 Juan Olives A Combined Capillarity and Elasticity Problem for a Thin Plate . . . . . . . . 480--493 Carlos Castillo-Chavez and Wenzhang Huang and Jia Li Competitive Exclusion in Gonorrhea Models and Other Sexually Transmitted Diseases . . . . . . . . . . . . . . . . 494--508 Richard Gomulkiewicz and Jay H. Beder The Selection Gradient of an Infinite-Dimensional Trait . . . . . . . 509--523 Patricia K. Lamm Approximation of ill-posed Volterra problems via predictor-corrector regularization methods . . . . . . . . . 524--541 G. Chavent and K. Kunisch On Weakly Nonlinear Inverse Problems . . 542--572 Victor S. Antyufeev and Anatoliy N. Bondarenko X-ray Tomography in Scattering Media . . 573--587 F. Hettlich Uniqueness of the Inverse Conductive Scattering Problem for Time-Harmonic Electromagnetic Waves . . . . . . . . . 588--601 Gen Nakamura and Kazumi Tanuma A Nonuniqueness Theorem for an Inverse Boundary Value Problem in Elasticity . . 602--610 J. Nathan Kutz and William L. Kath Stability of Pulses in Nonlinear Optical Fibers Using Phase-Sensitive Amplifiers 611--626 Axel Grorud and Denis Talay Approximation of Lyapunov Exponents of Nonlinear Stochastic Differential Equations . . . . . . . . . . . . . . . 627--650 Artur Lopes and Roberto Markarian Open Billiards: Invariant and Conditionally Invariant Probabilities on Cantor Sets . . . . . . . . . . . . . . 651--680
Andrea L. Bertozzi Symmetric Singularity Formation in Lubrication-Type Equations for Interface Motion . . . . . . . . . . . . . . . . . 681--714 Kurt Bryan and Lester F. Caudill, Jr. An Inverse Problem in Thermal Imaging 715--735 John Sylvester and Dale Winebrenner and Fred Gylys-Colwell Layer stripping for the Helmholtz equation . . . . . . . . . . . . . . . . 736--754 Carlos A. Berenstein and Enrico Casadio Tarabusi Integral Geometry in Hyperbolic Spaces and Electrical Impedance Tomography . . 755--764 R. W. C. Vance Matrix Lie Group-Theoretic Design of Coupled Linear Optical Waveguide Devices 765--782 Guy David $ {C}^1 $-arcs for minimizers of the Mumford--Shah functional . . . . . . . . 783--888 G. J. M. Marée Slow Passage Through a Pitchfork Bifurcation . . . . . . . . . . . . . . 889--918 Fritz Colonius and F. Javier de la Rubia and Wolfgang Kliemann Stochastic Models with Multistability and Extinction Levels . . . . . . . . . 919--945 C. R. Baker and I.-F. Chao Information Capacity of Channels with Partially Unknown Noise I. Finite-Dimensional Channels . . . . . . 946--963
C. N. Dawson and C. J. Van Duijn and R. E. Grundy Large Time Asymptotics in Contaminant Transport in Porous Media . . . . . . . 965--993 Are Magnus Bruaset and Bjòrn Fredrik Nielsen On the Stability of Pressure and Velocity Computations for Heterogeneous Reservoirs . . . . . . . . . . . . . . . 994--1007 A. I. Saichev and W. A. Woyczynski Density Fields in Burgers and KdV--Burgers Turbulence . . . . . . . . 1008--1038 Werner J. A. Dahm and Gretar Tryggvason and Mei Zhuang Integral Method Solution of Time-Dependent Strained Diffusion-Reaction Layers with Multistep Kinetics . . . . . . . . . . . . . . . . 1039--1059 Qiang Du and Paul Gray High-kappa limits of the time-dependent Ginzburg--Landau model . . . . . . . . . 1060--1093 Rudolf Mathar and Jürgen Mattfeldt Pulse-Coupled Decentral Synchronization 1094--1106 G. Bard Ermentrout and John Rinzel Reflected Waves in an Inhomogeneous Excitable Medium . . . . . . . . . . . . 1107--1128 Petri Ola and Erkki Somersalo Electromagnetic Inverse Problems and Generalized Sommerfeld Potentials . . . 1129--1145 Zhiming Sun Reconstruction of Source and Medium Parameters via Wave-Splitting and Green Function Equations . . . . . . . . . . . 1146--1163 Jeong-Hoon Kim Stochastic Turning Point Problem in a One-Dimensional Refractive Random Multilayer . . . . . . . . . . . . . . . 1164--1180 David C. Dobson and Fadil Santosa Recovery of Blocky Images from Noisy and Blurred Data . . . . . . . . . . . . . . 1181--1198 V. Caselles and C. Sbert What Is the Best Causal Scale Space for Three-Dimensional Images? . . . . . . . 1199--1246
Michael J. Ward Metastable Bubble Solutions for the Allen--Cahn Equation with Mass Conservation . . . . . . . . . . . . . . 1247--1279 Hans Babovsky Diffusion Limits for Flows in Thin Layers . . . . . . . . . . . . . . . . . 1280--1294 Mark Short and J. William Dold Unsteady Gasdynamic Evolution of an Induction Domain Between a Contact Surface and a Shock Wave. I: Thermal Runaway . . . . . . . . . . . . . . . . 1295--1316 Stephen M. Cox The Onset of Thermal Convection Between Poorly Conducting Horizontal Boundaries in the Presence of a Shear Flow . . . . 1317--1328 Masaru Ikehata The linearization of the Dirichlet-to-Neumann map in the anisotropic Kirchhoff--Love plate theory 1329--1352 Steven J. Cox and Michael L. Overton Perturbing the Critically Damped Wave Equation . . . . . . . . . . . . . . . . 1353--1362 Mohammad Tajdari The Moving Singularities of the Perturbation Expansion of the Classical Kepler Problem . . . . . . . . . . . . . 1363--1378 Wenxian Shen Lifted Lattices, Hyperbolic Structures, and Topological Disorders in Coupled Map Lattices . . . . . . . . . . . . . . . . 1379--1399 N. Sri Namachchivaya and H. J. Van Roessel and M. M. Doyle Moment Lyapunov exponent for two coupled oscillators driven by real noise . . . . 1400--1423 Bernard A. Mair and Frits H. Ruymgaart Statistical inverse estimation in Hilbert scales . . . . . . . . . . . . . 1424--1444 F. Bailly and J. F. Clouet and J. P. Fouque Parabolic and Gaussian White Noise Approximation for Wave Propagation in Random Media . . . . . . . . . . . . . . 1445--1470 Charles Knessl and Craig Steven Peters Exact and Asymptotic Solutions for the Time-Dependent Problem of Collective Ruin II . . . . . . . . . . . . . . . . 1471--1521
D. W. Schwendeman A front dynamics approach to curvature-dependent flow . . . . . . . . 1523--1538 Rustum Choksi The conservation law $ \partial_y u + \partial \sb x \sqrt {1 - u^2} = 0 $ and deformations of fibre-reinforced materials . . . . . . . . . . . . . . . 1539--1560 A. Figotin and P. Kuchment Band-gap structure of spectra of periodic dielectric and acoustic media. II. Two-dimensional photonic crystals 1561--1620 John N. Elgin and Xuesong Wu Stability of cellular states of the Kuramoto--Sivashinsky equation . . . . . 1621--1638 Benjamin J. Brosilow and Roseanne M. Ford and Sten Sarman and Peter T. Cummings Numerical solution of transport equations for bacterial chemotaxis: Effect of discretization of directional motion . . . . . . . . . . . . . . . . . 1639--1663 A. Bendali and K. Lemrabet The effect of a thin coating on the scattering of a time-harmonic wave for the Helmholtz equation . . . . . . . . . 1664--1693 Denis Blackmore and Jack G. Zhou A general fractal distribution function for rough surface profiles . . . . . . . 1694--1719 Kazuyuki Yagasaki The Melnikov theory for subharmonics and their bifurcations in forced oscillations . . . . . . . . . . . . . . 1720--1765 R. Z. Khasminskii and G. Yin Asymptotic series for singularly perturbed Kolmogorov--Fokker--Planck equations . . . . . . . . . . . . . . . 1766--1793 R. Z. Khasminskii and G. Yin On transition densities of singularly perturbed diffusions with fast and slow components . . . . . . . . . . . . . . . 1794--1819
C. Y. Wang and Q. Du and M. Miklav\vci\vc and C. C. Chang Impulsive Stretching of a Surface in a Viscous Fluid . . . . . . . . . . . . . 1--14 Bjòrn Fredrik Nielsen and Aslak Tveito On the Approximation of the Solution of the Pressure Equation by Changing the Domain . . . . . . . . . . . . . . . . . 15--33 Zhonghai Ding and Dimitris C. Lagoudas Solution Behavior of the Transient Heat Transfer Problem in Thermoelectric Shape Memory Alloy Actuators . . . . . . . . . 34--52 Piotr Rybka A Crystalline Motion: Uniqueness and Geometric Properties . . . . . . . . . . 53--72 James Sneyd and Jonathan Sherratt On the Propagation of Calcium Waves in an Inhomogeneous Medium . . . . . . . . 73--94 Josselin Garnier Homogenization in a Periodic and Time-Dependent Potential . . . . . . . . 95--111 Wiktor Eckhaus and Rachel Kuske Pattern Formation in Systems with Slowly Varying Geometry . . . . . . . . . . . . 112--152 Luis Alvarez and Julio Esclarín Image Quantization Using Reaction-Diffusion Equations . . . . . . 153--175 Peter J. Olver and Guillermo Sapiro and Allen Tannenbaum Invariant Geometric Evolutions of Surfaces and Volumetric Smoothing . . . 176--194 Jijun Liu and Yuanming Wang On uniqueness of an inverse problem for a $1$-D wave equation from transmission data . . . . . . . . . . . . . . . . . . 195--204 N. J. Balmforth and G. R. Ierley and R. Worthing Pulse Dynamics in an Unstable Medium . . 205--251 David Terman and Euiwoo Lee Partial Synchronization in a Network of Neural Oscillators . . . . . . . . . . . 252--293 Min Qian and Shu Zhu and Wen-Xin Qin Dynamics in a Chain of Overdamped Pendula Driven by Constant Torques . . . 294--305
Mark Short Multidimensional Linear Stability of a Detonation Wave at High Activation Energy . . . . . . . . . . . . . . . . . 307--326 V. Capasso and R. E. Wilson Analysis of a Reaction-Diffusion System Modeling Man- Environment-Man Epidemics 327--346 Robert Lipton Reciprocal Relations, Bounds, and Size Effects for Composites with Highly Conducting Interface . . . . . . . . . . 347--363 Gang Bao Variational Approximation of Maxwell's Equations in Biperiodic Structures . . . 364--381 G. A. Kriegsmann Cavity Effects in Microwave Heating of Ceramics . . . . . . . . . . . . . . . . 382--400 Lawrence K. Forbes and Stuart Crozier and David M. Doddrell Calculating Current Densities and Fields Produced by Shielded Magnetic Resonance Imaging Probes . . . . . . . . . . . . . 401--425 Alvin Kuruc Efficient Estimation of Linear Functionals in Emission Tomography . . . 426--452 Gerasimos A. Athanassoulis and Vassilis G. Papanicolaou Eigenvalue Asymptotics of Layered Media and Their Applications to the Inverse Problem . . . . . . . . . . . . . . . . 453--471 Mikhail Brodsky An Asymptotical Inversion of the Eigenfrequencies for a Three-Dimensional Problem with Spherical Symmetry . . . . 472--484 Toshiyuki Ogawa and Hiromasa Suzuki On the Spectra of Pulses in a Nearly Integrable System . . . . . . . . . . . 485--500 Boyan Dimitrov and Stefanka Chukova and David Green, Jr. Probability Distributions in Periodic Random Environment and Their Applications . . . . . . . . . . . . . . 501--517 Albert Cohen and Jean-Pierre D'Ales Nonlinear Approximation of Random Functions . . . . . . . . . . . . . . . 518--540 I. David Abrahams On the Solution of Wiener--Hopf Problems Involving Noncommutative Matrix Kernel Decompositions . . . . . . . . . . . . . 541--567 A. Chakrabarti and A. J. George Diagonalizable generalized Abel integral operators . . . . . . . . . . . . . . . 568--575
C. Treviño and A. Espinoza and F. Méndez Asymptotic Analysis of the Transient Conjugate Heat Transfer Process Between Two Forced Counterflowing Streams . . . 577--596 M. D. Impey and P. Grindrod and H. Takase and K. J. Worgan A Capillary Network Model for Gas Migration in Low- Permeability Media . . 597--608 J.-H. Park and J. W. Jerome Qualitative Properties of Steady-State Poisson--Nernst--Planck Systems: Mathematical Study . . . . . . . . . . . 609--630 V. Barcilon and D-P Chen and R. S. Eisenberg and J. W. Jerome Qualitative Properties of Steady-State Poisson--Nernst--Planck Systems: Perturbation and Simulation Study . . . 631--648 I. A. Frigaard and O. Scherzer Spraying the Perfect Billet . . . . . . 649--682 Howard A. Levine and Brian D. Sleeman A System of Reaction Diffusion Equations Arising in the Theory of Reinforced Random Walks . . . . . . . . . . . . . . 683--730 Liyi Dai Rate of Convergence for Derivative Estimation of Discrete-Time Markov Chains via Finite-Difference Approximation with Common Random Numbers 731--751 Robert S. Maier and Daniel L. Stein Limiting Exit Location Distributions in the Stochastic Exit Problem . . . . . . 752--790 Xiaoqian Tan and Charles Knessl Integral Representations and Asymptotics for Infinite- and Finite-Capacity Queues Described by the Unfinished Work I . . . 791--823 Xiaoqian Tan and Charles Knessl Integral representations and asymptotics for infinite- and finite-capacity queues described by the unfinished work. II . . 824--870
Din-Yu Hsieh and Xiao-Ping Wang Phase Transition in van der Waals Fluid 871--892 W. H. Hui and Yuanping He Hyperbolicity and Optimal Coordinates for the Three-Dimensional Supersonic Euler Equations . . . . . . . . . . . . 893--928 Philip Hall and Demetrios T. Papageorgiou On the modulational instability of $ {O}(1) $ amplitude waves in supersonic boundary layers . . . . . . . . . . . . 929--958 J. A. DiLellio and W. E. Olmstead Shear Band Formation Due to a Thermal Flux Inhomogeneity . . . . . . . . . . . 959--971 Omar M. Knio and Lu Ting Vortical Flow Outside a Sphere and Sound Generation . . . . . . . . . . . . . . . 972--981 Felix Otto Viscous Fingering: An Optimal Bound on the Growth Rate of the Mixing Zone . . . 982--990 Stefan Diehl Dynamic and Steady-State Behavior of Continuous Sedimentation . . . . . . . . 991--1018 Gail S. K. Wolkowicz and Huaxing Xia Global Asymptotic Behavior of a Chemostat Model with Discrete Delays . . 1019--1043 Hans G. Othmer and Angela Stevens Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks . . . . . . . . . . . . . . . . . 1044--1081 James M. Hyman and Jia Li Behavior Changes in SIS STD Models with Selective Mixing . . . . . . . . . . . . 1082--1094 Adel Faridani and David V. Finch and Erik L. Ritman and Kennan T. Smith Local tomography. II . . . . . . . . . . 1095--1127 Alexander I. Katsevich Local Tomography for the Generalized Radon Transform . . . . . . . . . . . . 1128--1162 Guillermo H. Goldsztein and Fernando Broner and Steven H. Strogatz Dynamical Hysteresis Without Static Hysteresis: Scaling Laws and Asymptotic Expansions . . . . . . . . . . . . . . . 1163--1187
Dan Marchesin and Bradley J. Plohr and Stephen Schecter An Organizing Center for Wave Bifurcation in Multiphase Flow Models 1189--1215 Steve Rosencrans Taylor Dispersion in Curved Channels . . 1216--1241 Mark Short On the Critical Conditions for the Initiation of a Detonation in a Nonuniformly Perturbed Reactive Fluid 1242--1280 Gail S. K. Wolkowicz and Huaxing Xia and Shigui Ruan Competition in the Chemostat: A Distributed Delay Model and Its Global Asymptotic Behavior . . . . . . . . . . 1281--1310 Robert Stephen Cantrell and James R. Ward, Jr. On Competition-Mediated Coexistence . . 1311--1327 Satyanad Kichenassamy The Perona--Malik Paradox . . . . . . . 1328--1342 L. L. Bonilla and J. A. Carrillo and J. Soler Asymptotic Behavior of an Initial-Boundary Value Problem for the Vlasov--Poisson--Fokker--Planck System 1343--1372 Sten Rikte Existence, Uniqueness, and Causality Theorems for Wave Propagation in Stratified, Temporally Dispersive, Complex Media . . . . . . . . . . . . . 1373--1389 Tamir Tassa Homogenization of Two-Dimensional Linear Flows with Integral Invariance . . . . . 1390--1405 Victoria Booth and Thomas W. Carr and Thomas Erneux Near-Threshold Bursting Is Delayed by a Slow Passage Near a Limit Point . . . . 1406--1420 R. J. A. G. Huveneers and F. Verhulst A Metaphor for Adiabatic Evolution to Symmetry . . . . . . . . . . . . . . . . 1421--1442 Lars Holden The Buckley--Leverett Equation with Spatially Stochastic Flux Function . . . 1443--1454 J. G. Gaines and T. J. Lyons Variable Step Size Control in the Numerical Solution of Stochastic Differential Equations . . . . . . . . . 1455--1484
Gerhard C. Cruywagen and Philip K. Maini and James D. Murray Biological Pattern Formation on Two-Dimensional Spatial Domains: A Nonlinear Bifurcation Analysis . . . . . 1485--1509 J. Gani and S. Yakowitz and M. Blount The Spread and Quarantine of HIV Infection in a Prison System . . . . . . 1510--1530 János Tóth and Genyuan Li and Herschel Rabitz and Alison S. Tomlin The Effect of Lumping and Expanding on Kinetic Differential Equations . . . . . 1531--1556 Avner Friedman and Chaocheng Huang Averaged Motion of Charged Particles in a Curved Strip . . . . . . . . . . . . . 1557--1587 Luis L. Bonilla and Manuel Kindelan and Miguel Moscoso and Stephanos Venakides Periodic Generation and Propagation of Traveling Fronts in DC Voltage Biased Semiconductor Superlattices . . . . . . 1588--1614 S. K. Lucas and R. Sipcic and H. A. Stone An Integral Equation Solution for the Steady-State Current at a Periodic Array of Surface Microelectrodes . . . . . . . 1615--1638 Carlos Conca and Muthusamy Vanninathan Homogenization of Periodic Structures via Bloch Decomposition . . . . . . . . 1639--1659 J. Nevard and J. B. Keller Homogenization of Rough Boundaries and Interfaces . . . . . . . . . . . . . . . 1660--1686 R. C. MacCamy Low Frequency Expansions for Two-Dimensional Interface Scattering Problems . . . . . . . . . . . . . . . . 1687--1701 Pierre Hillion Diffraction and Weber Functions . . . . 1702--1715 Dongwoo Sheen Approximation of Electromagnetic Fields: Part I. Continuous Problems . . . . . . 1716--1736 Alaeddin Elayyan and Victor Isakov On an Inverse Diffusion Problem . . . . 1737--1748 Shiying Zhao and Grant Welland and Ge Wang Wavelet Sampling and Localization Schemes for the Radon Transform in Two Dimensions . . . . . . . . . . . . . . . 1749--1762 Stéphane H. Maes Fast Quasi-Continuous Wavelet Algorithms for Analysis and Synthesis of One-Dimensional Signals . . . . . . . . 1763--1801
B. I. M. ten Bosch and A. J. Weisenborn On a Variational Principle for the Drag in Linear Hydrodynamics . . . . . . . . 1--14 Joel Smoller and Blake Temple Shock-Wave Solutions in Closed Form and the Oppenheimer--Snyder Limit in General Reality . . . . . . . . . . . . . . . . 15--33 Qing Nie and Fei Ran Tian Singularities in Hele--Shaw Flows . . . 34--54 Robert Lipton Heat Conduction in Fine Scale Mixtures with Interfacial Contact Resistance . . 55--72 C. Costantini and B. Pacchiarotti and F. Sartoretto Numerical Approximation for Functionals of Reflecting Diffusion Processes . . . 73--102 Jorge Berger and Jacob Rubinstein Bifurcation Analysis for Phase Transitions in Superconducting Rings with Nonuniform Thickness . . . . . . . 103--121 Hongwei Cheng and Leslie Greengard A Method of Images for the Evaluation of Electrostatic Fields in Systems of Closely Spaced Conducting Cylinders . . 122--141 Richard Bertram and Arthur Sherman Population Dynamics of Synaptic Release Sites . . . . . . . . . . . . . . . . . 142--169 Shigui Ruan and Xue-Zhong He Global Stability in Chemostat-Type Competition Models with Nutrient Recycling . . . . . . . . . . . . . . . 170--192 Guoren Dai and Moxun Tang Coexistence Region and Global Dynamics of a Harvested Predator-Prey System . . 193--210 Chia-Wei Chi and Sze-Bi Hsu and Lih-Ing Wu On the Asymmetric May--Leonard Model of Three Competing Species . . . . . . . . 211--226 P. van den Driessche and M. L. Zeeman Three-Dimensional Competitive Lotka--Volterra Systems with No Periodic Orbits . . . . . . . . . . . . . . . . . 227--234 Stanley Ocken Convergence Criteria for Attracting Cycles of Newton's Method . . . . . . . 235--244 R. Khasminskii and N. Moshchuk Moment Lyapunov Exponent and Stability Index for Linear Conservative System with Small Random Perturbation . . . . . 245--256 Charles Knessl and Charles Tier Heavy Traffic Analysis of a Markov-Modulated Queue with Finite Capacity and General Service Times . . . 257--323 Riccardo March and Piero Barone Application of the Padé Method to Solving the Noisy Trigonometric Moment Problem: Some Initial Results . . . . . . . . . . 324--343
Oleg S. Ryzhov and Julian D. Cole and Norman D. Malmuth A Blunt-Nosed Thin Body in Hypersonic Flow . . . . . . . . . . . . . . . . . . 345--369 A. Charalambopoulos and G. Dassios and M. Hadjinicolaou An Analytic Solution for Low-Frequency Scattering by Two Soft Spheres . . . . . 370--386 George Fennemore and Jack X. Xin Wetting Fronts in One-Dimensional Periodically Layered Soils . . . . . . . 387--427 L. J. Gray and Glaucio H. Paulino Crack Tip Interpolation, Revisited . . . 428--455 M. P. Ida and M. J. Miksis The Dynamics of Thin Films I: General Theory . . . . . . . . . . . . . . . . . 456--473 M. P. Ida and M. J. Miksis The Dynamics of Thin Films II: Applications . . . . . . . . . . . . . . 474--500 Liliana Borcea and George C. Papanicolaou Network Approximation for Transport Properties of High Contrast Materials 501--539 Xiaojing Zhang and Alexander L. Frenkel Large-Scale Instability of Generalized Oscillating Kolmogorov Flows . . . . . . 540--564 Laurent Younes Computable Elastic Distances Between Shapes . . . . . . . . . . . . . . . . . 565--586 S. J. Chapman and G. Richardson Motion and Homogenization of Vortices in Anisotropic Type II Superconductors . . 587--606 Gerda de Vries and Robert M. Miura Analysis of a Class of Models of Bursting Electrical Activity in Pancreatic $ \beta $-Cells . . . . . . . 607--635 Suncica Canic and Barbara Lee Keyfitz Riemann Problems for the Two-Dimensional Unsteady Transonic Small Disturbance Equation . . . . . . . . . . . . . . . . 636--665 Roland Potthast On a Concept of Uniqueness in Inverse Scattering for a Finite Number of Incident Waves . . . . . . . . . . . . . 666--682 A. Figotin and P. Kuchment Spectral Properties of Classical Waves in High-Contrast Periodic Media . . . . 683--702 Robert S. Anderssen and Ivan G. Götz and Karl-Heinz Hoffmann The Global Behavior of Elastoplastic and Viscoelastic Materials with Hysteresis-Type State Equations . . . . 703--723
Denise Kirschner and Jeff Morgan Solution of the Asymmetric Mixing Problem . . . . . . . . . . . . . . . . 725--736 Matthias K. Gobbert and Christian A. Ringhofer An Asymptotic Analysis for a Model of Chemical Vapor Deposition on a Microstructured Surface . . . . . . . . 737--752 Mauro Piccioni and Sergio Scarlatti and Alain Trouvé A Variational Problem Arising from Speech Recognition . . . . . . . . . . . 753--771 David J. Bergman A Limiting Case of Diffusion in a Composite Medium . . . . . . . . . . . . 772--779 Carl L. Gardner and Christian Ringhofer Approximation of Thermal Equilibrium for Quantum Gases with Discontinuous Potentials and Application to Semiconductor Devices . . . . . . . . . 780--805 D. A. Schult and A. Bayliss and B. J. Matkowsky Traveling Waves in Natural Counterflow Filtration Combustion and Their Stability . . . . . . . . . . . . . . . 806--852 N. U. Ahmed and H. Harbi Mathematical Analysis of Dynamic Models of Suspension Bridges . . . . . . . . . 853--874 Zhongyan Lin On The Determination of Radially Dependent Lamé Coefficients . . . . . . . 875--903 Eric Varley and Brian R. Seymour A Simple Derivation of the $N$-Soliton Solutions to the Korteweg--de Vries Equation . . . . . . . . . . . . . . . . 904--911 James M. Hyman and Jia Li Modeling the Effectiveness of Isolation Strategies in Preventing STD Epidemics 912--925 David Colton and Peter Monk A Linear Sampling Method for the Detection of Leukemia Using Microwaves 926--941 G. P. Cherepanov Two-Dimensional Convective Heat/Mass Transfer for Low Prandtl and Any Peclet Numbers . . . . . . . . . . . . . . . . 942--960 Frank Baginski and William Collier and Tami Williams A Parallel Shooting Method for Determining the Natural Shape of a Large Scientific Balloon . . . . . . . . . . . 961--974 S. J. Maybank Bearings-Only Tracking in the Plane . . 975--998 O. Ovaskainen and J. Pitkäranta An Energy Method Approach to the Problem of Elastic Strip . . . . . . . . . . . . 999--1021 H. Ammari and M. Laouadi and J.-C. Nédélec Low Frequency Behavior of Solutions to Electromagnetic Scattering Problems in Chiral Media . . . . . . . . . . . . . . 1022--1042
W. J. Bruno and F. Sun and D. C. Torney Optimizing Nonadaptive Group Tests for Objects with Heterogeneous Priors . . . 1043--1059 Giovanni Alessandrini and Edi Rosset The Inverse Conductivity Problem with One Measurement: Bounds on the Size of the Unknown Object . . . . . . . . . . . 1060--1071 Aníbal Rodríguez-Bernal and Erik S. Van Vleck Diffusion Induced Chaos in a Closed Loop Thermosyphon . . . . . . . . . . . . . . 1072--1093 Randolph S. Zounes and Richard H. Rand Transition Curves for the Quasi-Periodic Mathieu Equation . . . . . . . . . . . . 1094--1115 Stefano Lenci On the Suppression of Chaos by Means of Bounded Excitations in an Inverted Pendulum . . . . . . . . . . . . . . . . 1116--1127 A. V. Bobylev and G. Spiga On a Model Transport Equation with Inelastic Scattering . . . . . . . . . . 1128--1137 P. Degond A Model of Near-Wall Conductivity and Its Application to Plasma Thrusters . . 1138--1162 S. M. Sun On the Oscillatory Tails with Arbitrary Phase Shift for Solutions of the Perturbed Korteweg--de Vries Equation 1163--1177 James Sneyd and Paul D. Dale and Alastair Duffy Traveling Waves in Buffered Systems: Applications to Calcium Waves . . . . . 1178--1192 Donald S. Cohen and Thomas Erneux Controlled Drug Release Asymptotics . . 1193--1204 Sergio Rinaldi Laura and Petrarch: An Intriguing Case of Cyclical Love Dynamics . . . . . . . 1205--1221 Xue-zhong He The Lyapunov Functionals for Delay Lotka--Volterra-Type Models . . . . . . 1222--1236 Guido Schneider The Long Wave Limit for a Boussinesq Equation . . . . . . . . . . . . . . . . 1237--1245 Hsueh-Chia Chang and Evgeny A. Demekhin and Evgeny Kalaidin Generation and Suppression of Radiation by Solitary Pulses . . . . . . . . . . . 1246--1277 Roger L. Fosdick and Darren E. Mason On a Model of Nonlocal Continuum Mechanics Part I: Existence and Regularity . . . . . . . . . . . . . . . 1278--1306 Jaime E. Muñoz Rivera and Reinhard Racke Multidimensional Contact Problems in Thermoelasticity . . . . . . . . . . . . 1307--1337 Stephen M. Cox Long-Wavelength Rotating Convection Between Poorly Conducting Boundaries . . 1338--1364
Suncica Canic and Dragan Mirkovic A Numerical Study of Riemann Problems for the Two-Dimensional Unsteady Transonic Small Disturbance Equation . . 1365--1393 Sun-Chul Kim On Prandtl--Batchelor Theory of a Cylindrical Eddy: Asymptotic Study . . . 1394--1413 V. Zalipaev Ray Optical Analysis of a Plane Wave Scattering by an Echelette Diffraction Grating . . . . . . . . . . . . . . . . 1414--1449 J.-D. Benamou and Y. Brenier Weak Existence for the Semigeostrophic Equations Formulated as a Coupled Monge--Amp\`ere/Transport Problem . . . 1450--1461 Sven Ivansson A Class of Low-Frequency Modes in Laterally Homogeneous Fluid-Solid Media 1462--1508 Bruno Luong and Fadil Santosa Quantitative Imaging of Corrosion in Plates by Eddy Current Methods . . . . . 1509--1531 J. Chillan and J. P. Fouque Pressure Fields Generated by Acoustical Pulses Propagating in Randomly Layered Media . . . . . . . . . . . . . . . . . 1532--1546 J. Frédéric Bonnans Mathematical Study of Very High Voltage Power Networks II: The AC Power Flow Problem . . . . . . . . . . . . . . . . 1547--1567 Dan Crisan and Jessica Gaines and Terry Lyons Convergence of a Branching Particle Method to the Solution of the Zakai Equation . . . . . . . . . . . . . . . . 1568--1590 Vladimir Druskin On the Uniqueness of Inverse Problems from Incomplete Boundary Data . . . . . 1591--1603 J.-F. Clouet Diffusion Approximation of a Transport Process in Random Media . . . . . . . . 1604--1621 A. A. Lacey and J. R. Ockendon and J. Sabina Multidimensional Reaction Diffusion Equations with Nonlinear Boundary Conditions . . . . . . . . . . . . . . . 1622--1647 S. Anita and M. Iannelli and M.-Y. Kim and E.-J. Park Optimal Harvesting for Periodic Age-Dependent Population Dynamics . . . 1648--1666 M. Pernarowski Fast and Slow Subsystems for a Continuum Model of Bursting Activity in the Pancreatic Islet . . . . . . . . . . . . 1667--1687
Eduard Harabetian and Stanley Osher Regularization of Ill-Posed Problems Via the Level Set Approach . . . . . . . . . 1689--1706 Giambattista Giacomin and Joel L. Lebowitz Phase Segregation Dynamics in Particle Systems with Long Range Interactions II: Interface Motion . . . . . . . . . . . . 1707--1729 Alexander F. Vakakis and Gary Salenger Generation of Localization in a Discrete Chain with Periodic Boundary Conditions: Numerical and Analytical Results . . . . 1730--1747 Alexander Figotin and Abel Klein Midgap Defect Modes in Dielectric and Acoustic Media . . . . . . . . . . . . . 1748--1773 Simon N. Chandler-Wilde and Bo Zhang A Uniqueness Result for Scattering by Infinite Rough Surfaces . . . . . . . . 1774--1790 David G. Schaeffer and Michael Shearer A Simple Model for Stress Fluctuations in Plasticity with Application to Granular Materials . . . . . . . . . . . 1791--1807 S. J. Chapman and D. R. Heron The Motion of Superconducting Vortices in Thin Films of Varying Thickness . . . 1808--1825 Chaim Charach and Paul C. Fife Solidification Fronts and Solute Trapping in a Binary Alloy . . . . . . . 1826--1851 Xiao-Ping Wang On the Existence of Nontrivial Solutions for a Scalar ``Light-Nematic'' System and its Frederiks transition threshold 1852--1861 G. Lerman and Z. Schuss Asymptotic Theory of Large Deviations for Markov Chains . . . . . . . . . . . 1862--1877 P. van den Driessche and Xingfu Zou Global Attractivity in Delayed Hopfield Neural Network Models . . . . . . . . . 1878--1890 Andreas Neubauer and Otmar Scherzer Regularization for Curve Representations: Uniform Convergence for Discontinuous Solutions of Ill-Posed Problems . . . . . . . . . . . . . . . . 1891--1900 R. Schielen and A. Doelman Modulation Equations for Spatially Periodic Systems: Derivation and Solutions . . . . . . . . . . . . . . . 1901--1930 Bo Zhang and Simon N. Chandler-Wilde Acoustic Scattering by an Inhomogeneous Layer on a Rigid Plate . . . . . . . . . 1931--1950 T. A. Porsching and C. A. Hall and T. L. Bennett Minimax Approximation of Optical Profiles . . . . . . . . . . . . . . . . 1951--1968 Josselin Garnier Asymptotic Transmission of Solitons through Random Media . . . . . . . . . . 1969--1995 J. M. Greenberg and D. R. Owen Antiplane Shear Flows in Viscoplastic Solids Exhibiting Isotropic and Kinematic Hardening . . . . . . . . . . 1996--2023 Andreas Kirsch and Peter Monk Corrigendum: A Finite Element/Spectral Method for Approximating the Time-Harmonic Maxwell System in $ \Re^3 $ . . . . . . . . . . . . . . . . . . . 2024--2028
Fred Greensite Second-Order Approximation of the Pseudoinverse for Operator Deconvolutions and Families of Ill-Posed Problems . . . . . . . . . . . . . . . . 1--16 Walter Littman and Bo Liu On the Spectral Properties and Stabilization of Acoustic Flow . . . . . 17--34 Kevin C. Chen and Roseanne M. Ford and Peter T. Cummings Perturbation Expansion of Alt's Cell Balance Equations Reduces to Segel's One-Dimensional Equations for Shallow Chemoattractant Gradients . . . . . . . 35--57 Milton F. Maritz and Gabor T. Herman and Conway Yee Recovery of the Absorption Coefficient from Diffused Reflected Light Using a Discrete Diffusive Model . . . . . . . . 58--71 C. David Levermore and William J. Morokoff The Gaussian Moment Closure for Gas Dynamics . . . . . . . . . . . . . . . . 72--96 James Damon Generic Structure of Two-Dimensional Images Under Gaussian Blurring . . . . . 97--138 Russell M. Brown and Peter Perry and Zhongwei Shen The Additive Turbulent Decomposition for the Two-Dimensional Incompressible Navier--Stokes Equations: Convergence Theorems and Error Estimates . . . . . . 139--155 A. Buonomo The Periodic Solution of Van Der Pol's Equation . . . . . . . . . . . . . . . . 156--171 Robert V. Kohn and Thomas D. Little Some Model Problems of Polycrystal Plasticity with Deficient Basic Crystals 172--197 G. H. M. van der Heijden and A. R. Champneys and J. M. T. Thompson The Spatial Complexity of Localized Buckling in Rods with Noncircular Cross Section . . . . . . . . . . . . . . . . 198--221 Johannes Müller Optimal Vaccination Patterns in Age-Structured Populations . . . . . . . 222--241 T. S. Angell and R. E. Kleinman and B. Vainberg Asymptotic Methods for an Optimal Antenna Problem . . . . . . . . . . . . 242--260 Javier Villarroel On the Solution to the Inverse Problem for the Toda Chain . . . . . . . . . . . 261--285 Demetrios T. Papageorgiou and Oscar Orellana Study of Cylindrical Jet Breakup Using One-Dimensional Approximations of the Euler Equations . . . . . . . . . . . . 286--317 Josephus Hulshof and John R. King Analysis of a Darcy Flow Model with a Dynamic Pressure Saturation Relation . . 318--346 Jerry D. Brothers and Richard Haberman Accurate Phase After Slow Passage Through Subharmonic Resonance . . . . . 347--364 Andrew C. Fowler and Xin-she Yang Fast and Slow Compaction in Sedimentary Basins . . . . . . . . . . . . . . . . . 365--385
M. Alimov and K. Kornev and G. Mukhamadullina Hysteretic Effects in the Problems of Artificial Freezing . . . . . . . . . . 387--410 Bingtuan Li Global Asymptotic Behavior of the Chemostat: General Response Functions and Different Removal Rates . . . . . . 411--422 Iddo Eliazar and Uri Yechiali Randomly Timed Gated Queueing Systems 423--441 Rainer Kress and William Rundell Inverse Obstacle Scattering Using Reduced Data . . . . . . . . . . . . . . 442--454 John W. Cahn and John Mallet-Paret and Erik S. Van Vleck Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice . . . . . . . . . . . . . . . . 455--493 John A. Morrison and K. G. Ramakrishnan and Debasis Mitra Refined Asymptotic Approximations to Loss Probabilities and Their Sensitivities in Shared Unbuffered Resources . . . . . . . . . . . . . . . 494--513 C.-W. Wang and Z. Rusak Similarity Solutions of $ \phi_x^3 \phi_{xx} = \phi_{\tilde {y} \tilde {y}} $ with Applications to Transonic Aerodynamics of Dense Gases . . . . . . 514--528 A. E. Merzon and P. N. Zhevandrov High-Frequency Asymptotics of Edge Waves on a Beach of Nonconstant Slope . . . . 529--546 James A. Powell and Tyler McMillen and Peter White Connecting a Chemotactic Model for Mass Attack to a Rapid Integro-Difference Emulation Strategy . . . . . . . . . . . 547--572 Mary Ballyk and Le Dung and Don A. Jones and Hal L. Smith Effects of Random Motility on Microbial Growth and Competition in a Flow Reactor 573--596 Liliana Borcea Asymptotic Analysis of Quasi-Static Transport in High Contrast Conductive Media . . . . . . . . . . . . . . . . . 597--635 Björn Birnir and Höskuldur Ari Hauksson A Finite Dimensional Attractor of the Moore--Greitzer PDE Model . . . . . . . 636--650 Shuping Chen and Kangsheng Liu and Zhuangyi Liu Spectrum and Stability for Elastic Systems with Global or Local Kelvin--Voigt Damping . . . . . . . . . 651--668 John Sylvester and Dale P. Winebrenner Linear and Nonlinear Inverse Scattering 669--699 D. A. Edwards and D. A. French Asymptotic and Computational Analysis of Large Shear Deformations of a Thermoplastic Material . . . . . . . . . 700--724 Christophe Labreuche Purely Imaginary Resonant Frequencies For a Lossy Inhomogeneous Medium . . . . 725--742 Mikhail Yu. Zhukov and Sergey V. Ermakov and Pier Giorgio Righetti Modeling of Transport Processes in the Presence of Substance-Locking Effects 743--776
Jishan Hu Nonuniformity of Adiabatic Invariance for Nonlinear Oscillators . . . . . . . 777--786 Edith Geigant and Karina Ladizhansky and Alexander Mogilner An Integrodifferential Model for Orientational Distributions of $F$-actin in Cells . . . . . . . . . . . . . . . . 787--809 Tao Luo and Roberto Natalini and Zhouping Xin Large Time Behavior of the Solutions to a Hydrodynamic Model for Semiconductors 810--830 Peter Braasch and Gerhard Rein and Jesenko Vukadinovic Nonlinear Stability of Stationary Plasmas---An Extension of the Energy-Casimir Method . . . . . . . . . 831--844 Piotr Biler and Wojbor A. Woyczynski Global and Exploding Solutions for Nonlocal Quadratic Evolution Problems 845--869 P. M. McCabe and J. A. Leach and D. J. Needham The Evolution of Travelling Waves in Fractional Order Autocatalysis with Decay. I. Permanent Form Travelling Waves . . . . . . . . . . . . . . . . . 870--899 Glen D. Granzow and Hermann Riecke Double Phase Slips and Spatiotemporal Chaos in a Model for Parametrically Excited Standing Waves . . . . . . . . . 900--919 Satoshi Kawaguchi and Masayasu Mimura Collision of Travelling Waves in a Reaction-Diffusion System with Global Coupling Effect . . . . . . . . . . . . 920--941 Andreas Class and Alvin Bayliss and Bernard J. Matkowsky Localized Flickering Cellular Flames . . 942--964 Johan Helsing and Gunnar Peters Integral Equation Methods and Numerical Solutions of Crack and Inclusion Problems in Planar Elastostatics . . . . 965--982 Axel Klar and Raimund Wegener A Hierarchy of Models for Multilane Vehicular Traffic I: Modeling . . . . . 983--1001 Axel Klar and Raimund Wegener A Hierarchy of Models for Multilane Vehicular Traffic II: Numerical Investigations . . . . . . . . . . . . . 1002--1011 Martin Hanke and Otmar Scherzer Error Analysis of an Equation Error Method for the Identification of the Diffusion Coefficient in a Quasi-linear Parabolic Differential Equation . . . . 1012--1027 Olivier D. Lafitte Diffraction in the high frequency regime by a thin layer of dielectric material I: The equivalent impedance boundary condition . . . . . . . . . . . . . . . 1028--1052 Olivier D. Lafitte Diffraction in the High Frequency Regime by a Thin Layer of Dielectric Material II: the Trace of the Wave in the Shadow of the Obstacle . . . . . . . . . . . . 1053--1079 R. Douglas Gregory and Thomas I. Milac and Frederic Y. M. Wan A Thick Hollow Sphere Compressed by Equal and Opposite Concentrated Axial Loads: An Asymptotic Solution . . . . . 1080--1097 A. Borrelli and M. C. Patria Saint--Venant's Principle for a Piezoelectric Body . . . . . . . . . . . 1098--1111 B. A. Shadwick and John C. Bowman and P. J. Morrison Exactly Conservative Integrators . . . . 1112--1133 D. A. Edwards Skinning During Desorption of Polymers: An Asymptotic Analysis . . . . . . . . . 1134--1155
Sergei S. Pilyugin and Paul Waltman Competition in the Unstirred Chemostat with Periodic Input and Washout . . . . 1157--1177 Ioannis T. Georgiou and Ira B. Schwartz Dynamics of Large Scale Coupled Structural/Mechanical Systems: A Singular Perturbation/Proper Orthogonal Decomposition Approach . . . . . . . . . 1178--1207 Folkmar A. Bornemann and Christof Schütte On the Singular Limit of the Quantum-Classical Molecular Dynamics Model . . . . . . . . . . . . . . . . . 1208--1224 Qiang Du Studies of a Ginzburg--Landau Model for $d$-Wave Superconductors . . . . . . . . 1225--1250 V. Gol'dshtein and A. C. McIntosh and A. Zinoviev A Spatially Uniform Model of Self-Ignition Due to Combustible Fluid Leakage in Insulation Materials: The Effect of Initial Conditions . . . . . . 1251--1266 Yurii V. Obnosov Periodic Heterogeneous Structures: New Explicit Solutions and Effective Characteristics of Refraction of an Imposed Field . . . . . . . . . . . . . 1267--1287 Philip Holmes and J. Nathan Kutz Dynamics and Bifurcations of a Planar Map Modeling Dispersion Managed Breathers . . . . . . . . . . . . . . . 1288--1302 Shui-Nee Chow and Bo Deng and Mark J. Friedman Theory and Application of a Nongeneric Heteroclinic Loop Bifurcation . . . . . 1303--1321 Habib Ammari and Chiraz Latiri-Grouz and Jean-Claude Nédélec Scattering of Maxwell's Equations with a Leontovich Boundary Condition in an Inhomogeneous Medium: A Singular Perturbation Problem . . . . . . . . . . 1322--1334 Antonio L. Sánchez and Amable Liñán and Forman A. Williams Chain-Branching Explosions in Mixing Layers . . . . . . . . . . . . . . . . . 1335--1355 Ian Knowles Uniqueness for an Elliptic Inverse Problem . . . . . . . . . . . . . . . . 1356--1370 G. Iosilevskii and Ya. A. Iosilevskii and A. Rosen Asymptotic Aerodynamic Theory of Oscillating Rotary Wings in Axial Flight 1371--1412 Rainer Kress and Lassi Päivärinta On the Far Field in Obstacle Scattering 1413--1426 W. T. van Horssen A Perturbation Method Based on Integrating Factors . . . . . . . . . . 1427--1443 W. T. van Horssen A Perturbation Method Based on Integrating Vectors and Multiple Scales 1444--1467 Torsten Lindström Dependencies Between Competition and Predation---and Their Consequences for Initial Value Sensitivity . . . . . . . 1468--1486 Brad Lehman and Steven P. Weibel Averaging Theory for Delay Difference Equations with Time-Varying Delays . . . 1487--1506 Guido Cortesani and Rodica Toader Nonlocal Approximation of Nonisotropic Free-Discontinuity Problems . . . . . . 1507--1519 P. D. Weidman and V. Calmidi Instantaneous Stokes Flow in a Conical Apex Aligned with Gravity and Bounded by a Stress-Free Surface . . . . . . . . . 1520--1531
Hyeonbae Kang and Jin Keun Seo Inverse Conductivity Problem with One Measurement: Uniqueness of Balls in $ \mathbb {R}^3 $ . . . . . . . . . . . . 1533--1539 Manfred Plank On the Dynamics of Lotka--Volterra Equations Having an Invariant Hyperplane 1540--1551 Sergei S. Pilyugin and Paul Waltman The Simple Chemostat with Wall Growth 1552--1572 Carlos Conca and Fernando Lund Fourier Homogenization Method and the Propagation of Acoustic Waves Through a Periodic Vortex Array . . . . . . . . . 1573--1581 Elias Jonsson Electrical Conductivity Reconstruction Using Nonlocal Boundary Conditions . . . 1582--1598 Jean Duterte and Patrick Joly A Numerical Method for Surface Waves in a Cylindrically Perturbed Elastic Half-Space. Part 1: Construction and Analysis . . . . . . . . . . . . . . . . 1599--1635 Pei Li Chen and Vadim Kagansky The Influence of Timing on Radiation Damage to Cell Populations . . . . . . . 1636--1666 \`Angel Calsina and Joan Saldaña Global Dynamics and Optimal Life History of a Structured Population Model . . . . 1667--1685 Amarjit Budhiraja and Paul Dupuis Simple Necessary and Sufficient Conditions for the Stability of Constrained Processes . . . . . . . . . 1686--1700 L. Belenkaya and S. Friedlander and V. Yudovich The Unstable Spectrum of Oscillating Shear Flows . . . . . . . . . . . . . . 1701--1715 Stefano Serra and Cristina Tablino Possio Analytical Analysis of the Gavrilov--Guckenheimer Bifurcation Unfolding in the Case of a Proportional-Integral Controlled CSTR 1716--1744 C. Athanasiadis and P. A. Martin and I. G. Stratis Electromagnetic Scattering by a Homogeneous Chiral Obstacle: Boundary Integral Equations and Low-Chirality Approximations . . . . . . . . . . . . . 1745--1762 Michael V. Klibanov and Thomas R. Lucas Numerical Solution of a Parabolic Inverse Problem in Optical Tomography Using Experimental Data . . . . . . . . 1763--1789 Carlos Castillo-Chavez and Wenzhang Huang and Jia Li Competitive Exclusion and Coexistence of Multiple Strains in an SIS STD Model . . 1790--1811 L. Pamela Cook and Elsa Newman and Scott Rimbey and Gilberto Schleiniger Sonic and Subsonic Axisymmetric Nozzle Flows . . . . . . . . . . . . . . . . . 1812--1824 Dag Lukkassen A New Reiterated Structure with Optimal Macroscopic Behavior . . . . . . . . . . 1825--1842 Raz Kupferman and Alexandre J. Chorin One-Sided Polarization and Renormalization Flow in the Kosterlitz--Thouless Phase Transition 1843--1866 E. Sáez and E. González-Olivares Dynamics of a Predator-Prey Model . . . 1867--1878 Gen Nakamura and Kazumi Tanuma and Gunther Uhlmann Layer Stripping for a Transversely Isotropic Elastic Medium . . . . . . . . 1879--1891 L. Berlyand and E. Khruslov Homogenization of Harmonic Maps and Superconducting Composites . . . . . . . 1892--1916
Charles Knessl and Charles Tier Two Tandem Queues with General Renewal Input I: Diffusion Approximation and Integral Representations . . . . . . . . 1917--1959 Charles Knessl and Charles Tier Two Tandem Queues with General Renewal Input II: Asymptotic Expansions for the Diffusion Model . . . . . . . . . . . . 1960--1997 Michael Siegel Influence of Surfactant on Rounded and Pointed Bubbles in Two-Dimensional Stokes Flow . . . . . . . . . . . . . . 1998--2027 Anne-Sophie Bonnet-Ben Dhia Christophe Hazard and Stephanie Lohrengel A Singular Field Method for the Solution of Maxwell's Equations in Polyhedral Domains . . . . . . . . . . . . . . . . 2028--2044 H. Ammari and K. Hamdache and J.-C. Nédélec Chirality in the Maxwell Equations by the Dipole Approximation . . . . . . . . 2045--2059 Daniel N. Ostrov Viscosity Solutions and Convergence of Monotone Schemes for Synthetic Aperture Radar Shape-from-Shading Equations with Discontinuous Intensities . . . . . . . 2060--2085 Robert F. Almgren Second-Order Phase Field Asymptotics for Unequal Conductivities . . . . . . . . . 2086--2107 Steven J. Cox and David C. Dobson Maximizing Band Gaps in Two-Dimensional Photonic Crystals . . . . . . . . . . . 2108--2120 Nataliya Rossokhataya and Vladimir Makarov and Victor Rossokhaty and Ivan Gavrilyuk Mathematical Model of the Graded-Band-Gap Semiconductor Structure with High Internal Quantum Efficiency 2121--2138 John P. Albert and Jerry L. Bona and Juan Mario Restrepo Solitary-Wave Solutions of the Benjamin Equation . . . . . . . . . . . . . . . . 2139--2161 Yuji Kodama The Whitham Equations for Optical Communications: Mathematical Theory of NRZ . . . . . . . . . . . . . . . . . . 2162--2192 Eugene M. Izhikevich Weakly Connected Quasi-periodic Oscillators, FM Interactions, and Multiplexing in the Brain . . . . . . . 2193--2223 Alexander Katsevich Cone Beam Local Tomography . . . . . . . 2224--2246 Longxiang Dai and Robert M. Miura A Lattice Cellular Automata Model for Ion Diffusion in the Brain-Cell Microenvironment and Determination of Tortuosity and Volume Fraction . . . . . 2247--2273 M. A. Fontelos and J. J. L. Velázquez On Some Breakup and Singularity Formation Mechanisms for Inviscid Liquid Jets . . . . . . . . . . . . . . . . . . 2274--2300
Shigui Ruan and Xue-Zhong He Erratum: ``Global Stability in Chemostat-Type Competition Models with Nutrient Recycling'' . . . . . . . . . . 2204--2205