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 Optimal control in a statistical problemF. M. Kirillova 1415 Reducibiity of linear systems of differential equations with quasi-periodic coefficientsV. I. Romanov, V. Kh. Kharasakhal 1423 Resonance in a nonlinear system in the presence of random shocksA. S. Bakay 1428 Reduction of systems of linear differential equations to the generalized $L$-diagonal formN. I. Shkil' 1436 On the question of estimating the non-oscillation interval for a linear differential equation of third orderV. S. Bezdomnikov, I. N. Inozemceva 1444 Estimation of the non-oscillation interval for a difference equation and for difference boundary value problemsA. L. Teptin 1449 Algebraic limit cycles of a differential equationM. V. Dolov 1469 Homogeneous difference schemes on irregular nets for a system of differential equations of fourth order with discontinuous coefficientsA. K. Boyarchuk 1474 On the smoothness of thermal potentials. IIIL. I. Kamynin 1484 Solution of certain problems of electrochemistry by the method of straight linesV. T. Ivanov 1502 Construction of small solutions of a class of nonlinear integral equationsP. I. Golovachik 1510 The Cauchy problem for systems of linear partial differential equations with variable coefficientsV. A. Sochneva 1520 Short Communications Stability of solutions of a differential equation with a discontinuous characteristicR. M. Èidinov 1531 Application of the theory of additive functionals to stochastic differential equationsE. I. Zheleznov 1535 Quasi-periodic and periodic solutions of problems with moving boundaries for the wave equation in a one-dimensional spaceV. I. Kval'vasser, Yu. P. Samarin 1541 Íîâûå êíèãèA. R. Shakun 1544