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 Ordinary Differential Equations A certain boundary value problemV. G. Adamov, N. A. Bobylev 1155 The duality of the problems of optimal observation and control for linear systems with lagB. I. Anan'ev 1160 The behavior of the trajectories of a homogeneous system in the neighborhood of an invariant coneA. F. Andreev, I. A. Zavarzina 1168 The marked trajectories of a quasiregular synthesisM. M. Baitman 1173 The computation of singular controlsE. E. Barbashina 1186 Qualitative study in the large of a certain dynamical systemP. S. Belevets, I. G. Kozhukh 1196 The solution of boundary value problems for differential equations of odd orders by means of branching continued fractionsP. I. Bodnarchuk, I. P. Pustomel'nikov, R. V. Slonevskii 1205 Minimax problems of optimal controlV. G. Boltyanskii, I. S. Chebotaru 1213 Extensions of dynamical systems with uniformly asymptotically stable pointsI. U. Bronshtein, V. F. Cherny 1225 Integral curves of the differential equation $(1+x)yy'=-x P_3(x)-x P_1(x)y+\delta y^2$ with a centerG. M. Buldyk 1231 An estimate of the oscillating solutions of a linear homogeneous system of differential equations with retarded argumentR. Kh. Israfilov 1242 Asymptotic expansion of the solution of the problem with initial jump for a system of nonlinear ordinary differential equations with a small parameter multiplying the highest derivativeK. A. Kasymov 1248 On the theory of differential equations with discontinuous right-hand sidesR. I. Kozlov 1264 The zeta-function and eigenvalues of differential operatorsV. A. Sadovnichy 1276 A certain differential game with integral pay-offG. N. Serikov 1286 Partial Differential Equations Quasiperiodic Green's functions for the Laplace and the Helmholtz equationV. M. Astapenko 1293 A certain condition for the solvability of the Dirichlet problemV. S. Klimov 1298 Finite difference equations Difference schemes for quasilinear nonstationary problems. IV. N. Abrashin, V. I. Lis 1303 Asymptotic behavior of the solution of a linear difference system with small difference in the presence of a “turning point”G. A. Tsyganov 1312 Short Communications On the theory of bifurcations of dynamical systems under a rotation of the fieldN. N. Butenina 1322 A mixed boundary value problem of the stationary theory of heat conduction for the half-plane with boundary condition of the third kindB. A. Vasil'ev 1325 A theorem on the impossibility of a gradient catastrophe for a certain class of multidimensional systems of quasilinear equationsA. D. Sidorenko 1328 The bifurcation of quasistationary periodic solutions of differential-difference equationsV. V. Strygin 1332 An example of the inapplicability of the quasi-reversibility method to finding boundary functions that control the solution of the heat equationYu. S. Shatalov 1335