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 People of Soviet science Andreǐ Nikolaevich Tikhonov (on the occasion of his eightieth birthday)A. V. Bitsadze, N. P. Erugin, V. A. Il'in, A. A. Samarskii 2027 Andreǐ Vasil'evich Bitsadze (on the occasion of his seventieth birthday)A. A. Dorodnitsyn, N. P. Erugin, V. A. Il'in, A. A. Samarskii, A. N. Tikhonov 2032 Ordinary Differential Equations On de la Vallée Poussin's differential inequalityN. V. Azbelev, A. I. Domoshnitskii 2041 On the existence of periodic points in a neighborhood of a homoclinic point of a three-dimensional diffeomorphismE. V. Vasil'eva 2045 Spectral expansion of nonselfadjoint differential operators with periodic coefficientsO. A. Veliev 2052 Necessary and sufficient conditions for being a Riesz basis of root vectors of second-order discontinuous operatorsV. A. Il'in 2059 Uniform boundedness with respect to the parameter of the solutions of singularly perturbed problems for systems of ordinary differential equationsN. C. Sklobovsky, V. A. Tupchiev 2072 Partial Differential Equations Estimation with respect to the order of convergence of function series in the solution of boundary value problems for second-order quasilinear parabolic equationsM. V. Boychuk, K. I. Bogatenko 2081 The Green function of the Dirichlet problem for a second-order $B$-elliptic equationA. Yu. Sazonov 2087 Spectral expansions in the case when the orders of the associated functions exceed the order of the Riesz meansYa. Sh. Salimov 2097 Expansions in eigenfunctions of a singular elliptic operatorA. R. Khalmukhamedov 2107 A mixed problem with an integral condition for some parabolic equationsN. J. Yurchuk 2117 Numerical methods A numerical method for solving a problem on the collision interaction of ultrashort light pulses in the resonance caseV. V. Drits, B. A. Samson, A. R. Khizhnyak 2127 On the rate of convergence of the Rothe–Galerkin method for operator differential equationsA. G. Zarubin 2135 Curvilinear finite elements of the class $C_1$ with singular coordinate functionsV. G. Korneev, K. A. Khusanov 2144 An interpolation method for the numerical solution of the Laplace equationV. A. Medvedev 2157 A computational scheme for an approximation methodYu. M. Rappoport 2162 Short Communications On the uniqueness of the solution of an equation with linear deviation of the argument in spaces with power weightS. M. Aleydarov 2170 Uniqueness of the solution of the generalized Poincaré problem of parabolic equations in noncylindrical domains with a nonsmooth boundaryR. D. Aliev 2171 The Darboux problem for a second-order degenerate loaded integro-differential equationKh. K. Zhemukhov 2174 The behavior of solutions of a mixed boundary value problem for a higher-order elliptic equationE. G. Sitnikova 2176 Convergence of a differential-difference scheme for shallow water equations in Lagrangian coordinatesV. V. Khutsishvili 2178 Investigation of an almost periodic state of a nonlinear controllable systemV. N. Shchennikov 2182 Chronicle Î ñåìèíàðå ïî êà÷åñòâåííîé òåîðèè äèôôåðåíöèàëüíûõ óðàâíåíèé â Ìîñêîâñêîì óíèâåðñèòåòå 2184 Letter to the editor Letter to the editors: “On the Landau equation” [Differentsial'nye Uravneniya 19 (1983), no. 8, 1406–1416; MR0714807]O. E. Buryak 2189