"Pulished by the American Mathematical Society ... under a grant from the National Science Foundation"--Title page.

Includes bibliographical references.

Discontinuous solutions of quasilinear equations of the first order /; The Cauchy problem for nonlinear equations in a class of discontinuous functions /; Systems of quasilinear equations /; Behavior of the solutions of the Cauchy problem for certain quasilinear equations for unbounded increase of the time /; The Cauchy problem for quasilinear equations /; Uniqueness of the generalized solution of the Cauchy problem for hyperbolic systems of quasilinear equations /; Conservativeness of systems of quasilinear equations /; Liouville theorems and stability theorems for the solutions of parabolic systems /; Existence and uniqueness theorems for boundary value problems for partial differential equations in function spaces /; Local properties of solutions of partial differential equations with constant coefficients /; Boundary-value problems for linear elliptic and parabolic equations with discontinuous coefficients /; A class of solutions of a system of differential equations of Moisil and Dirac /; Differential equations with discontinuous right-hand side /; On the question of distribution of zeros of solutions of linear differential equations of third order /; Oscillatory properties of the solutions of canonical equations / A. N. Tihonov and A. A. Samarskii; O. A. Oleinik; B. L. Rozdestvenskii; A. M. Illn and O. A. Oleinik; B. L. Rozdestvenskii; B. L. Rozdestvenskii; B. L. Rozdestvenskii; S. D. Eidel'man; A. A. Dezin; G. E. Silov; O. A. Oleinik; M. S. Sneerson; A. F. Filippov; N. V. Azbelev and Z. B. Caljuk; V. A. Jakubovic