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 Science People Stanislav Ivanovich Pokhozhaev (A Tribute in Honor of His Seventieth Birthday)O. V. Besov, A. M. Il'in, V. A. Il'in, L. D. Kudryavtsev, S. M. Nikol'skii, L. V. Ovsyannikov, E. Mitidieri, A. Tesei, L. Véron 1587 Ordinary Differential Equations On the Smallness of Perturbations Preserving the Higher Exponent of a Linear Differential SystemN. A. Izobov 1592 Localization of Invariant Compact Sets of Dynamical SystemsA. P. Krishchenko 1597 A Criterion for Conditional Instability by the First Approximation for Solutions of Differential SystemsS. G. Kryzhevich 1605 On the Computability of Lyapunov Exponents of Linear Differential Systems Along Geometric Time ProgressionsA. V. Lipnitskii 1615 On an Algorithm for Constructing an Attainable Upper Boundary for the Higher Exponent of Perturbed SystemsE. K. Makarov, I. V. Marchenko 1621 Geometry of Discontinuous Systems near a Manifold of Singularities of Third OrderA. V. Pukhlikov 1635 A Circular Arrangement of Equilibria and a Procedure for Finding the Strongest of ThemÈ. R. Smol'yakov 1642 On a Control Problem with Incomplete Information: Quasistrategies and Control Procedures with a ModelD. V. Khlopin, A. G. Chentsov 1652 Flat Control Systems with DelayV. N. Chetverikov 1667 Partial Differential Equations Transition to Chaos in a Nonclassical Reaction-Diffusion SystemA. V. Dernov, N. A. Magnitskii 1675 On the Coercivity of the $R_\nu$-Generalized Solution of the First Boundary Value Problem with Coordinated Degeneration of the Input DataV. A. Rukavishnikov, A. G. Ereklintsev 1680 Numerical methods A Special Version of the Collocation Method for Integral Equations of the Third KindN. S. Gabbasov 1690 A Singular Integral Equation with a Cauchy Kernel on the Real Half-LineD. Pylak, R. Smarzewski, M. A. Sheshko 1696 Short Communications On the Completeness of Eigenfunctions of the Neumann–Tricomi Problem for a Degenerate Equation of Mixed TypeE. I. Moiseev, M. Mogimi 1709