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 Homeomorphy of dynamical systemsD. M. Grobman 1351 On the control of a linear system by generalized actionsA. B. Kurzhanskii, Yu. S. Osipov 1360 The action of a Markov process on a system of differential equationsG. N. Mil'shtein, Yu. M. Repin 1371 Estimation of solutions, and stability on a finite interval, of pseudolinear systemsV. P. Rudakov 1385 Application of topological methods to nonlinear boundary value problems for ordinary differential equationsA. Ya. Lepin 1390 The connection between the solutions of two systems of differential equationsG. S. Krechetov 1398 The spaces $L_{p,\varphi}$ and equations of evolutionV. A. Kostin 1405 Finite difference methods for nonlinear evolutionary equationsL. I. Yakut 1415 A certain method of differential descentYu. M. Krivonos, B. A. Galanov 1426 On the theory of the Cauchy limit problem for differential equations with unbounded operator in a Banach spaceS. M. Sardarly 1431 The dissipativity of a certain two-dimensional systemV. M. Gershtein 1438 Cases of the Wiener–Hopf equation on a quadrant of the planeN. I. Moraru 1445 An abstract scheme for the examination of parabolic problems in noncylindrical regionsS. G. Krein, G. I. Laptev 1458 The fundamental solutions of certain singular partial differential equationsI. A. Kipriyanov, V. I. Kononenko 1470 The application of integral transforms to the solution of a certain class of inverse problems of potential theoryS. V. Temko, K. V. Temko 1484 An investigation of the solvability of perturbed parabolic equations in a Banach space, and a generalized Bubnov–Galerkin method for their approximate solutionP. E. Sobolevskii, M. N. Titenskii 1495 The stability of strong discontinuities which are regulated by the equations of hydrodynamics and which simulate combustion and detonation processesS. K. Aslanov 1503 An investigation of the Green's function of a second order differential equation in regions with infinite boundaryA. G. Ramm 1509 Taking into account the symmetry in the solution of boundary value problems by variational methodsV. G. Klimenko 1517 Short Communications First order nonlinear matrix-valued differential equationsV. N. Laptinskii, V. V. Pugin 1523 A certain problem in the general theory of dynamical systems which arises in the theory of linear systems of differential equationsV. V. Rozhdestvenskii 1526 A multipoint boundary value problem for a system of differential equationsV. S. Klimov 1532 A certain $nth$ order inhomogeneous linear differential equationG. R. Gemidzhiev 1535 A remark on the article “A certain criterion for Ljapunov stability”T. Wang 1537