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 Ordinary Differential Equations The global structure of the decomposition of the cylindrical phase space of a certain nonautonomous systemL. N. Belyustina, V. N. Belykh 595 An approximate method of integrating differential equations with polynomial coefficientsN. D. Egupov, A. N. Dmitriev 609 Controllability, stability of certain nonlinear systemsV. I. Korobov 614 The solvability of linear boundary value problems for an equation of neutral typeO. I. Kyun 620 Continuous dependence of the solution of boundary value problems for ordinary differential equationsA. Ya. Lepin, V. D. Ponomarev 626 Stability and dissipativity of a certain class of nonlinear differential equationsM. M. Lychak 630 Certain questions of the asymptotic behavior of the solutions of nonlinear differential equations with retarded argumentO. N. Odarich, V. N. Chevelo 637 The phase diagrams of systems of differential equations that satisfy axiom $A$S. Yu. Pilyugin 647 The problem of distinguishing the center and the focusA. P. Sadovskii 650 The boundary value problem for a system of ordinary differential equations with a complex parameterN. I. Shkil', V. V. Terletskii 660 Partial Differential Equations Uniform convergence and summability of the spectral expansions of functions from $L_p^\alpha$Sh. A. Alimov 669 The Cauchy problem in classes of increasing functions for certain quasilinear degenerate second order parabolic equationsA. S. Kalashnikov 682 Solution of one-dimensional problems for a parabolic system of arbitrary order in unbounded domainsYu. A. Mamedov 692 Optimal stopping of diffusion processes, and parabolic variational inequalitiesT. Tobias 702 Asymptotic estimates of the convergence of the Ritz method in the eigenvalue problem for a degenerate elliptic operatorT. O. Shaposhnikova 709 Finite difference equations Pointwise error estimates of the difference solution of a boundary value problem for an ordinary differential equationE. A. Volkov 717 Optimal control of discrete systemsB. Mordukhovich 727 Short Communications A certain equation with deviating argumentR. G. Aliev 735 The absence of a nontrivial solution belonging to $L_2[x_0,+\infty)$ of the equation $y^{(n)}+p(x)y=0$L. I. Anikeeva 740 The maximum principle for processes with distributed parameters and retarded argumentsK. K. Gasanov 743 Systems of pseudodifferential equations in $R^n$A. A. Kuleshov 747 Movable singular points of a certain system of differential equationsA. M. Markina 751 Estimation of the value of a known functional from an unknown solutionA. D. Myshkis, N. P. Parshikova 754 Connected partial differential operators and boundary value problemsV. I. Paškovskii 757 Integration of an evolution equation in Banach spaceYu. V. Plyushchev 761 On the question of the existence of solutions of Liénard type equations with a movable algebraic singular pointE. G. Prolisko 764 Solutions bounded on the halfaxis of a second order nonlinear elliptic equation in a Banach spaceV. G. Raskin 768 The solution of certain nonlinear boundary value problems for domains of complex form by the lattice methodV. L. Rvachev, A. P. Slesarenko 771 A variant of the problem with a contact discontinuity for systems of three quasilinear equationsA. D. Sidorenko 774 Three theorems on the Poincaré index for the equation $y'=P_4(x,y)/Q_4(x,y)$P. T. Cherevichny 778 Chronicle Âñåñîþçíûé ñèìïîçèóì ïî äèôôåðåíöèàëüíûì è èíòåãðàëüíûì óðàâíåíèÿìB. Aliev 780