Issue 1

• Rupture of Round Bars by Tension by and T. Thomas
• Flow of a Compressible Fluid in a Hyperbolic Channel by and Hasan a–zoklav
• A Variational Problem Relating to Cooling Fins by and R. Duffin
• Convergence of Solutions of Parabolic Equations to a Steady State by and Avner Friedman
• On Quasi-Conformal Functions of Several Complex Variables by and Sin Hitotumatu
• Spectral Representation of Certain Semi-Groups of Operators by and Cassius Tulcea
• A Factorization of Positive Hermitian Matrices by N. Wiener, and E. Akutowicz
• On the Law of the Iterated Logarithm by and Mary Weiss
• On Vitali's Theorem for Complex Spaces with Singularities by and R. Gunning
• Self-Intersections of Immersed Manifolds by R. Lashof, and S. Smale
• Remarques concernant le travail ``Sur l'equation integrale singuliere non lineaire et sur les proprietes d'une integrale singuliere pour les arcs non fermes'' by and W. Pogorzelski

Issue 2

• Generalized Heat Transfer between Solids and Gases under Nonlinear Boundary Conditions by and Avner Friedman
• Composition of Solutions of Linear Partial Differential Equations in Two Independent Variables by and Hans Lewy
• On the Order of Zeros of One-Signed Solutions of Elliptic Equations by and R. Pederson
• The Solution and Huygens' Principle for a Singular Cauchy Problem by and David Fox
• Solutions of a Riccati Matrix Differential Equation as Functions of Initial Values by and William Reid
• An Elementary Analytic Theory of the Degree of Mapping in n-Dimensional Space by and Erhard Heinz
• Invariant Imbedding and Neutron Transport Theory III-Neutron-Neutron Collision Processes by Richard Bellman, Robert Kalaba, and G. Wing
• An Extension of a Theorem of Marcinkiewicz and Some of Its Applications by E. Stein, and Guido Weiss
• The Holonomy Group I. The Curvature Tensor by and Vaiclav Hlavaty
• A Deflation Map by and E. Weiss
• A Solvable Exceptional Jordan Algebra by and A. Albert

Issue 3

• On the Equation of the Vibrating String by and William Feller
• Inequalities for a Matrix Riccati Equation by and Raymond Redheffer
• Sur la Presque-Periodicite des Solutions de l'equation des Ondes Non Homogene by and S. Zaidman
• An Analogue of the Heinz-Hopf Inequality by and Robert Osserman
• Asymptotic Behavior of Solutions of Parabolic Equations by and Avner Friedman
• On Some Transformation Semigroups Invariant under Euclidean or Non-Euclidean Isometries by and Charles Loewner
• On the Conformal Capacity in Space by and Charles Loewner
• On Open Mappings in Banach Algebras by and Charles McCarthy
• On Certain Trigonometrical Expansions by and H. Lauwerier
• Discrete Potential Theory and Boundaries by and J. Doob

Issue 4

• The Derivation of Stress-Deformation Relations for a Stokesian Fluid by and James Serrin
• Isoperimetric Inequalities for the Nonhomogeneous Clamped Rod and Plate by and Paul Beesack
• An Existence and Uniqueness Theorem for a Nonlinear Stefan Problem by and W. Kyner
• Free Boundary Problems for Parabolic Equations I. Melting of Solids by and Avner Friedman
• On Nonlinear Differential Equations, the Maximum Operation, and Monotone Convergence by and Robert Kalaba
• Invariant Imbedding and Neutron Transport Theory IV-Generalized Transport Theory by Richard Bellman, Robert Kalaba, and G. Wing
• Functions of a Markov Process That are Markovian by and M. Rosenblatt
• The Holonomy Group II. The Lie Group Induced by a Tensor by and V. Hlavaty

Issue 5

• Fracture of Circular Pipes by Internal Pressure by and T. Thomas
• A Non-Linear Random Model of Gravity Waves I by and Leo Tick
• The Time-Dependent Solution for a Storage Model with Poisson Input by J. Gani, and N. Prabhu
• Stationary Processes as Shifts of Functions of Independent Random Variables by and M. Rosenblatt
• Functional Equations, Wave Propagation and Invariant Imbedding by Richard Bellman, and Robert Kalaba
• Generalized Linear Differential Systems by and William Reid
• Developments at an Analytic Corner of Solutions of Elliptic Partial Differential Equations by and R. Lehman
• A Strong Maximum Principle for Weakly L-Subharmonic Functions by and Walter Littman
• On the Integrability Conditions in the Problem of Motion in General Relativity by and John Moffat
• A Note on 'The Method of Characteristics for a Perfect Compressible Fluid in General Relativity and Non-Steady Newtonian Mechanics' by and N. Coburn
• Distributed and Lumped Networks by and R. Duffin
• Incidence Matrices and Linear Graphs by L. Auslander, and H. Trent

Issue 6

• Solution of an Initial Value Problem for the Multi-Velocity Neutron Transport Equation with a Slab Geometry by and George Pimbley, Jr.
• On the Foundations of Dynamic Programming by and Howard Osborn
• On the Generalized Radiation Problem of Weinstein by and J. Lions
• On the Preservation of Classes of Functions by and A. Zygmund
• The Isoperimetric Inequality and Associated Boundary Problems by and William Reid
• Positive Operators by and Samuel Karlin
• A Theorem on Integral Transforms with an Application to Prediction Theory by and J. Chover
• Integral Formulas for Hypersurfaces in Euclidean Space and Their Applications to Uniqueness Theorems by and Shiing-Shen Chern
• An Inequality for Hyperbolic Polynomials by and Lars Ga¥rding
• Multiples of Divisors by and Ernst Snapper
• Corrections to Discrete Potential Theory and Boundaries by and J. Doob