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 Existence of the best possible uniform approximation of a function of several variables by a sum of functions of fewer variablesA. L. Garkavi, V. A. Medvedev, S. Ya. Havinson 3 Averaging principle for dissipative dynamical systems with rapidly oscillating right-hand sidesA. A. Ilyin 15 Topology of domains of possible motions of integrable systemsV. V. Kozlov, V. V. Ten 59 Dimension subgroups of extensions with an Abelian kernelYu. V. Kuz'min 65 Asymptotic behaviour as $t\to \infty$ of the solutions of the generalized Korteweg–de Vries equationP. I. Naumkin, I. A. Shishmarev 71 A problem of Mahler on the zeros of a polynomial and its derivativeÈ. A. Storozhenko 111 Continuous selections of multivalued maps with non-convex non-closed decomposable valuesA. A. Tolstonogov 121 On the de la Vallé-Poussin theorem on the uniqueness of the trigonometric series representing a functionN. N. Kholshchevnikova 143