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 Ordinary Differential Equations Construction of Lyapunov functions as $m$th order formsÈ. I. Grudo 739 The structure of impulse-sliding modes under perturbations of measure type. IIV. B. Kostousov 745 Typical properties of conditional exponential stability. VV. M. Millionshchikov 753 Distribution of stable and unstable manifolds of hyperbolic systemsV. A. Pliss 779 Solutions of systems of linear differential equations with an irregular singular pointI. B. Sorogovets 786 Sharp bounds for characteristic indices of second-order linear systems with bounded perturbationsA. G. Surkov 792 Qualitative investigation of a system with three centersD. S. Ushkho 797 Group pursuit in differential-difference gamesA. A. Chikrii, G. Ts. Chikrii 802 Partial Differential Equations The principle of the smoothing functional for solution of equations of the first kind with monotone operatorsYa. I. Al'ber, O. A. Liskovets 811 Multidimensional inverse problems for the transport equationD. S. Anikonov 817 Existence of a solution to the Cauchy problem for a system of Vlasov equationsN. B. Esikova 824 On the existence of a solution in problems of nonlinear vibrations of shallow shells with rotational inertia taken into accountV. A. Krys'ko, S. P. Pavlov 830 Well-posedness of a mixed problem for a vector wave equationN. G. Marchuk 838 Properties of second-order derivatives of thermal potentials for an equation of parabolic typeP. Olszewski 844 Optimal control of distributed parameter systems described by nonsmooth Goursat–Darboux systems with constraints of inequality typeV. I. Plotnikov, M. I. Sumin 851 Singularities of a solution of an initial-boundary value problem for a vibrating-plate equation near the boundaryV. M. Uroev 860 Estimates of solution of equations of elliptic type in the metric of $L_p$, \$1