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 On equations of minimax type in the theory of elliptic and parabolic equations in the planeN. V. Krylov 3 On systems of convergenceE. M. Nikishin 23 On absolute convergence of Fourier series of almost periodic functions with sparse spectrumE. A. Bredikhina 39 A justification of the averaging method for abstract parabolic equationsI. B. Simonenko 53 The semigroup of reflective subcategoriesM. Sh. Tsalenko 62 Description of the spaces $L_p^r(R^n)$ in terms of singular difference integralsP. I. Lizorkin 79 A contribution to the problem of the structure of an extended neighborhood of a rough equilibrium state of saddle-focus typeL. P. Shilnikov 92 Imbedding theorems and relations between best approximations (moduli of continuity) in different metricsP. L. Ul'yanov 104 On a conjecture of SamuelV. I. Danilov 132 Decomposition of knotsA. B. Sosinskii 145