Issue 1

- Bicubic Interpolation over Triangles by and C. Hall
- On the Conformal Equivalence of Compact 2-Dimensional Manifolds by and Melvyn Berger
- Real Analytic Maps on Manifolds by P. Church, and W. Nathan
- A Generalization of the Morse Index Theorem to a Class of Degenerate Elliptic Operators by and L. Sibner
- Distortion Theorems for the Level Curves of Rational Functions and Harmonic Functions by and Dorothy Shaffer
- Removable Sets for Quasiconformal Mappings by and Jussi Vaisala
- Some Networks That Can Learn, Remember, and Reproduce any Number of Complicated Space-Time Patterns, I by and Stephen Grossberg

- Reflection of Elastic Waves from Cylindrical Surfaces by D. Ahluwalia, J. Keller, and E. Resende
- A Lemma of H. Tong and Some of Its Consequences by and Mary Powderly
- On the Relation between Period and Energy in Periodic Dynamical Systems by and William Gordon
- A New Type of Multidimensional Singular Linear Integral Equation by K. Abhyankar, and A. Fymat
- The Use of Eigenfunction Expansions in the General Solution of Three-Dimensional Crack Problems by R. Hartranft, and G. Sih
- On the Topological Entropy of Solenoids by J. England, and N. Martin
- Uber die Existenz und Eindeutigkeit einer Losung der Hammerstein' schen Gleichung in Banachraumen by and Herbert Amann
- Almost-Periodic Solutions of a Certain Abstract Differential Equation by H. Gunzler, and S. Zaidman
- Representation of Semi-Groups of Nonlinear Nonexpansive Transformations in Banach Spaces by and G. Webb
- An Analogue of Garding's Inequality for Parabolic Operators and Its Applications by and Stanley Kaplan

- A Completeness Theorem on the Group of Baire Equivalences by E. Lorch, and Hing Tong
- On the Inversion of Toeplitz Operators by and M. Rabindranathan
- Approximation-Extension Type Property of Continuous Functions of Bounded Variation by and Fon-Che Liu
- On Domains of Dependence and Partial Lacunas for Symmetric Hyperbolic Systems by G. Duff, and A. Tsutsumi
- On Functions with Almost Periodic or Almost Automorphic First Differences by and I. Berg
- On Certain Fractional Area Integrals by C. Segovia, and R. Wheeden
- Absolute Continuity and Generalized Reynolds Operators by and C. Putnam
- Linear Functionals and the Cauchy-Kowalewski Theorem by and C. Hill

- Positive Solutions of Some Nonlinear Eigenvalue Problems by and Herbert Keller
- On Existence, Uniqueness and Convergence of Successive Approximations for Hyperbolic Partial Differential Equations by and Beatriz Margolis
- On Weinstein's Intermediate Problems for Integral Equations with Difference Kernels by and Ivar Stakgold
- Fourier Transforms of Stationary Processes are not Functions by and R. Dudley
- The de Rham Theorem for Function Spaces by and F. Flaherty
- An Example in Surface Area by and Casper Goffman
- A Class of Wave Diffraction Problems Involving Geometrically-Induced Singularities by G. Sih, and J. Loeber
- On a Class of Non-Linear Elliptic Boundary Value Problems by and Charles Coffman
- Steady Plane Magnetohydrodynamic Flow by and Roy Gundersen
- The Hausdorff Dimension of the Range of a Process with Stationary Independent Increments by and William Pruitt

- Fracture of Brittle Solids by Applied Loads by and T. Thomas
- Product Integral Formulae for Nonlinear Expansive Semi-Groups and Non-Expansive Evolution Systems by and J. Neuberger
- Invariant Elastic Constants for Crystals by T. Srinivasan, and S. Nigam
- Inequalities Concerning the Modules of Curve Families by and William Derrick
- An Integral Identity due to Ramanujan which Occurs in Neutron Transport Theory by J. Dorning, B. Nicolaenko, and J. Thurber
- On Some Extremal Quantities Associated with Unbounded Sets in the Plane by and Harold Widom
- Univalent Functions with Univalent Derivatives III by S. Shah, and S. Trimble

- Observation Operators and Cosmology by and Dominic Edelen
- Compatibility Conditions of the Theory of Micromorphic Elastic Solids by and A. Eringen
- On the Right Weak Solution of the Cauchy Problem for a Quasilinear Equation of First Order by and Eberhard Hopf
- Motion of Solids in Viscous and Electrically Conducting Fluids by and R. Kanwal
- Progressing Waves Diffracted by Smooth Surfaces by Joseph Keller, and Daljit Ahluwalia
- Elastic-Plastic Torsion of Convex Cylindrical Bars by and Tsuan Ting

- On the Asymptotic Solution of a Nonlinear Dirichlet Problem by M. Berger, and L. Fraenkel
- A Novel Type of Matrix Multidimensional Singular Linear Integral Equation by A. Fymat, and K. Abhyankar
- Symmetrizable Systems in Regions with Corners and Edges by and L. Sarason
- Nonlinear Perturbations of Linear Elliptic Boundary Value Problems at Resonance by E. Landesman, and A. Lazer
- An Integral Equation Perturbation Technique in Applied Mathematics by and R. Kanwal

- Powers of Partial Isometries by P. Halmos, and L. Wallen
- On a Certain Type of Commutator by and Mendel David
- On the Initial Value Problem for an Incompressible Fluid with Nonlinear Viscosity by and Shmuel Kaniel
- The Impulsive Reissner-Sagoci Problem by and R. Shail
- The Prevalence of Uniquely Ergodic Systems by and Robert Jewett
- Cohomology Theory for Banach Manifolds by and Kalyan Mukherjea
- Semi-Groups of Partial Isometries by and L. Wallen

- On the Kernel Function in Domains with Bergman-Silov Boundary Surface by and J. Burbea
- Formal Properties of Time-Dependent Scattering Processes by R. Redheffer, and A. Wang
- Uber die Verteilung der Approximationszahlen von Integraloperatoren in Sobolev-Besov-Raumen by and Hans Triebel
- The Mathematical Problem of Hydrodynamic Stability by and D. Sattinger
- The Tensor Product of Semigroups and the Operator Equation SX - XT = A by and J. Freeman
- Minimal Surfaces Whose Boundaries Contain Spikes by and David Kinderlehrer

- Singular Integrals whose Kernels Involve Certain Sturm-Liouville Functions, I by and M. Muldoon
- On Hadamard's Elementary Solution of Bessel's Equation by and Edwin Titt
- Differential Operators of Infinite Order on a Lie Group I by and Roe Goodman
- Positive Solutions of Nonlinear Elliptic Eigenvalue Problems by R. Simpson, and Donald Cohen
- Uniqueness of Multicative Structure in Complex K-Theory by and Robert West
- Capacity and Compact Imbeddings by and R. Adams
- Some Extensions and Applications of the New Maximum-Minimum Theory of Eigenvalues by and William Stenger

- On the Instability of Certain Nonlinear Periodic Waves by Young-Ping Pao, and C. Su
- Invariant Subspaces and Analytic Continuation in Several Variables by P. Ahern, and D. Clark
- Existence and Uniqueness of Solutions of a Class of Nonlinear Elliptic Boundary Value Problems by L. Shampine, and G. Wing
- Faber Polynomials for Starlike Functions by and Bernard Pinchuk
- Roots of Ergodic Transformations by M. Akcoglu, and J. Baxter
- A Generalization of a Theorem of Berger and Coburn by and Robert Kallman
- The Class of Operator-Valued Weight Functions by Berrien Moore, III, and Lavon Page
- Elastic Waves in Tetragonal and Hexagonal Crystals by and T. Srinivasan
- Bilinear Forms in Hilbert Space by and Alan McIntosh

- On a Conjecture of Levi-Civita by and Jim Cushing
- Wiener Integral Representations for Certain Semigroups which have Infinitesimal Generators with Matrix Coefficients by and Donald Babbitt
- Remarks on the Cauchy Integral and the Conjugate Function in Generalized Half-Planes by A. Korainyi, S. Vaigi, and G. Welland
- Nonlinear Sturm-Liouville Eigenvalue Problems and Topological Degree by Michael Crandall, and Paul Rabinowitz
- On Nonlinear Singular Perturbation Problems with Interior Nonuniformities by and R. O'Malley, Jr.
- Idempotent Probability Measures on Locally Compact Abelian Semigroups by Nicolas Tserpes, and Tze-Chien Sun
- Wave Propagation in Elastic Surfaces by H. Cohen, and S. Suh
- The Lichtenstein-Gershgorin Integral Equation in Conformal Mapping of Variable Domains by and S. Warschawski