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 Ordinary Differential Equations Switching lines on the planeM. M. Baitman 1539 A differential deviation game for systems with distributed parametersI. F. Vaisburd 1552 The determination of periodic solutions of nonlinear systems by the averaging methodI. M. Vul'pe 1558 A small parameter in a differential evasion gameP. B. Gusyatnikov, Yu. S. Ledyaev 1566 Lower bound for the minimal exponent of a linear systemN. A. Izobov 1576 Conditions for two centers for a quadratic differential systemÈ. F. Kirnitskaya, K. S. Sibirskii 1589 Conditions for a center for the equation $yy'=\sum_{i=0}^3 p_i(x)y^i$L. A. Cherkas 1594 Uniform asymptotic stability of a differential system with respect to the first nonlinear approximation of order $\mu$V. N. Shchennikov 1601 Stability of the zero solution of Pfaffian systems in terms of generalized characteristic vectorsL. F. Yanchuk 1606 Partial Differential Equations The method of lines in nonlinear heat problemsS. I. Golaido 1613 The finiteness of the Dirichlet integral for a class of functionsG. V. Zhidkov 1624 Some problems of mechanics with discontinuous boundary conditions and a nonsmooth boundaryA. G. Zarubin, M. F. Tiunchik 1632 The method of matching asymptotic expansions for the equation $\varepsilon\Delta u-au_z=f$ in a parallelepipedE. F. Lelikova 1638 The maximum principle in the moment theory of elasticityD. G. Natroshvili 1649 The global solution of weakly nonlinear hyperbolic equations in a Hilbert spaceV. P. Pikulin 1659 Integral Equations The stability of control systemsA. G. Ramm 1670 The Noether theory for integral equations of the third kindV. S. Rogozhin, N. S. Raslambekov 1678 Short Communications The dependence of the control set on the parameterN. K. Alekseev, N. S. Rettiev 1687 Asymptotic stability in nonlinear systems, and the critical case of $2m$ purely imaginary roots in the theory of the stability of motionO. V. Anashkin 1689 The stability of the solution of the spectral problem for a multi-group diffusion approximation of the transport equationA. A. Anikin, A. I. Popykin, S. B. Shikhov 1692 A comparison of the properties of the solutions of a quasi-triangular and a quasi-diagonal systemB. F. Bylov, V. S. Ermolin 1696 An investigation of the oscillations of beams of variable cross sectionA. F. Zubova 1698 The stable solvability of boundary value problems for autonomous differential equations with deviating argumentA. G. Kamenskii 1701 Dynamic equivalence near invariant manifoldsG. S. Osipenko 1703 The problem of the conjugation of nonstationary linear differential equations with a parameterT. M. Pushkareva 1706 Distribution of Ljapunov exponents in linear systems with periodic coefficients that are nearly constant in the meanM. I. Rakhimberdiev, N. Kh. Rozov 1710 A remark on the controllability of a linear periodic systemE. L. Tonkov 1715 Some theorems on the stability of degree $n$ with respect to the matrix $\Phi (t)$Wu Tuan 1718