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 Ordinary Differential Equations On Necessary Second-Order Conditions in Optimal Control ProblemsA. V. Arutyunov, Yu. S. Vereshchagina 1443 On the Problem of Sequential Traversal of a Set of Smooth Manifolds by a Nonlinear Controlled ObjectYu. I. Berdyshev 1451 Synthesis of Regulators for Dynamical Systems in Hilbert SpacesV. A. Brusin 1462 Categories and Foundations of the Theory of Nonlinear Controlled Dynamical Systems: IV. I. Elkin 1467 The Construction of Minimal Phase Affine SystemsA. P. Krishchenko, D. Yu. Panfilov, S. B. Tkachev 1483 A Representation of the Equations of Motion on the Phase Constraint Surface of an Optimal Control Problem in the Form of Singular CharacteristicsA. A. Melikyan 1490 Singularly Perturbed Cauchy Problems and Contrast StructuresYu. I. Neimark, V. N. Smirnova 1498 Continuity and the Lipschitz Property of the Bellman Function in Some Optimization Problems on the Semi-Infinite Interval $[0,+\infty)$M. S. Nikol'skii 1506 On the Invariant Analysis of Generalized Linear Dynamical SystemsN. I. Osetinskii 1511 A System of Equilibria for Many-Player GamesÈ. R. Smol'yakov 1517 Higher Symmetries and the Brunovskii Infinitesimal Form of Controlled SystemsV. N. Chetverikov 1525 Finite difference equations Attainability and Connectedness in an Automata Network with a General State Switching RuleS. N. Vassilyev 1533 Some Properties of Linear Nonstationary Discrete Systems over RingsI. V. Gaishun 1540 Boundedness in Mean of Solutions of Volterra Finite-Difference Equations Under Unknown PerturbationsV. B. Kolmanovskii, N. I. Koroleva, N. P. Kosareva 1549 Short Communications Attainability Domains of Controlled Systems in Problems with Phase ConstraintsO. N. Bobyleva 1563 Stability of Closed Invariant Sets of Semidynamical Systems. The Method of Sign Definite Lyapunov FunctionsB. S. Kalitin 1565 Chronicle Seminar on Qualitative Theory of Differential Equations at Moscow State University 1567