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 Averaging in systems of ordinary differential equationsV. M. Volosov 3 Scientific notes and problems Some applications of the general theory of bi-orthogonal systems to the study of symmetrizable operatorsB. E. Veits 127 On some properties of unconditional convergence basesB. E. Veits 135 On the analytic capacity of linear setsL. D. Ivanov 143 A boundary-value problem with a condition at infinity for a second-order ordinary differential equationYu. A. Klokov 145 On generating operators of semi-groupsV. G. Maz'ya, P. E. Sobolevskii 151 Some remarks on completions of partially ordered setsV. V. Pashenkov 155 The $\varepsilon$-entropy of certain classes of periodic functionsV. M. Tikhomirov 163 Mathematical Events in the USSR Aleksandr Danilovich Aleksandrov (photo) Aleksandr Danilovich Aleksandrov (on his fiftieth birthday)N. V. Efimov, V. A. Zalgaller, A. V. Pogorelov 171 Vladimir Ivanovich Smirnov (photo) Vladimir Ivanovich Smirnov (on his seventy-fifth birthday)M. I. Radovskii 185 The 4th All-Union Conference on General Algebra 191 The First All-Union Conference on GeometryN. I. Kovantsov 231 Reviews and Bibliography New books on mathematics 247