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 Conditions for the existence of recurrent trajectories in dynamic systems with a cylindrical phase spaceE. A. Barbashin 1627 Dissipativity and periodic solutions of second order nonsymmetric systemsA. F. Filippov 1634 A periodic boundary value problem for the differential equation $y^{(n)}+f(t,y,y',…,y^{(n-1)})=0$A. Ya. Khokhryakov 1643 The theory of characteristic vectors and its application to the study of the asymptotic behavior of solutions of differential systems. IIHoang Hyu Dyong 1656 On inverse problems of the qualitative theory of differential equationsR. G. Mukharlyamov 1673 The number of periodic solutions of the second kind to the differential equation $\ddot{\varphi}-f_1(\varphi)\dot{\varphi}-f_0(\varphi)=0$G. I. Shilova 1682 Nonlinear differential equations in a Banach space, close to linear onesK. V. Valikov 1692 A sufficient test for the stability of the trivial solution of a third-order differential equation with periodic coefficientsG. A. Los' 1707 A method for the approximate realization of a motion along a given trajectoryV. L. Gasilov 1718 On averaging in systems of integro-differential equationsA. N. Filatov 1725 The asymptotic behavior of solutions of a class of Volterra's integro-differential equationsV. R. Vinokurov 1732 Some properties of functions which satisfy elliptic equations of higher orderB. M. Gagaev 1745 The theory of Macdonald integrals. II. Asymptotic expansionsA. A. Tuzhilin 1751 The completeness of certain function systemsM. A. Aleksidze 1766 A method for introducing the finite parts of divergent integrals, and applications of them in operational calculusV. A. Ditkin, A. P. Prudnikov 1772 The application of Galerkin's method to the solution of a mixed problem for a quasilinear hyperbolic equationK. K. Gasanov 1782 Short Communications On the problem of the analytic construction of regulatorsV. I. Bondarenko, Yu. M. Filimonov 1792 A partial differential equation with retarded argumentB. P. Tkach 1796 People of Soviet science Èîñèô Çàõàðîâè÷ Øòîêàëî (ê 70-ëåòèþ ñî äíÿ ðîæäåíèÿ) 1801