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 Review articles Equations with retarded argumentN. V. Azbelev, V. P. Maksimov 2027 Integral equationsM. Imanaliev, B. V. Khvedelidze, T. G. Gegelia, A. A. Babaev, A. I. Botashev 2050 Theory and applications of the generalized Lyapunov direct method for abstract dynamical systems (a survey of the current state of the geometric direction in Lyapunov)A. A. Shestakov 2069 Ordinary Differential Equations The basis property of Riesz means of spectral decompositions corresponding to an $n$th-order ordinary nonselfadjoint differential operatorV. A. Il'in, V. V. Tikhomirov 2098 A minimax control problemN. N. Krasovskii 2126 Baire classes of functions and Lyapunov exponents. XV. M. Millionshchikov 2132 An expansion formula for a spectral problem with boundary conditions containing derivatives of higher order than the equationM. L. Rasulov 2149 The Sturm-Liouville problem with regular singular points. IM. V. Fedoryuk 2166 Partial Differential Equations Periodic solutions of equations of elliptic type with small parametersA. B. Vasil'eva 2174 Boundary value problems for third-order equations with multiple characteristics in finite and infinite domainsT. D. Dzhuraev, S. Abdinazarov 2178 Short Communications The comparison method in a problem on the continuous dependence on the parameterA. A. Martynyuk 2188 Application of explicit asymmetric difference approximations for the solution of the Burgers equationV. K. Saul'ev 2190