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 Ordinary Differential Equations On the theory of necessary second order optimality conditions. IE. E. Barbashina 199 The differential equation that is connected with the problem of the conformal mapping of a circular pentagon with a slitÈ. N. Bereslavskii 214 The periodic oscillations with large amplitude of certain classes of nonlinear systemsYa. V. Bykov, R. Kabulov 223 The structure of the solutions of a certain system of two differential equations. IIÈ. I. Grudo 230 On the game-theoretical problem of deflectionN. N. Krasovskii 243 Linear differential systemsV. N. Laptinskii 249 The complete controllability of a linear system with lagS. A. Minyuk 254 Linear differential pursuit games in the presence of lagsM. S. Nikol'skii 260 On a conjecture of SmaleV. A. Pliss 268 The stability of dynamical systems on a given time intervalV. D. Furasov 283 The behavior of the solution of a boundary value problem for a system of ordinary differential equations with a small parameter multiplying the derivativeA. A. Shishkin 290 Linear dynamical systems with controlF. A. Sholokhovich 300 Partial Differential Equations The index and the normal solvability of a general elliptic boundary value problem with a finite group of shifts on the boundaryA. B. Antonevich 309 On the Gevrey theory for parabolic potentials. IV, VL. I. Kamynin 318 Some new relations between control systems and equations of mathematical physics. IE. M. Polishchuk 333 The uniqueness of a solution of the Cauchy problem for second order equationsV. S. Ryzhii 349 Asymptotically bilateral methods of solution of partial differential equationsV. K. Saul'ev 362 Short Communications The divergence on a set of positive measure of the Riesz means of kernels of fractional orderV. A. Il'in, Sh. A. Alimov 372 The solutions of the equation $\Delta \Delta u=f$ in a piecewise smooth domainV. A. Koldorkina 374 On the question of the stability in the large of a certain class of nonlinear control systemsD. A. Ovsyannikov 377 Discrete groups of problemsE. N. Petrov 380 A plane boundary value problem for determination of the initial stresses in a soil formation that is anisotropic with respect to water permeabilityV. A. Ryzhkov, P. I. Kharitonenko 383