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 MATHEMATICS On the rate of convergence of the distribution of the maximum of successive sums of independent random variablesT. Arak 11 Generalized integral representations for functions holomorphic in a polycylinderI. I. Bavrin 14 Criteria for weak convergence of nonnegative measures, and $\sigma$-topological spacesA. A. Borovkov, E. A. Pechersky 18 Stability of the solutions to differential equations with a nonlinear potential operator in Hilbert spaceM. A. Veliev, Ya. D. Mamedov 21 Smooth functions on plane setsE. M. Dyn'kin 25 Infinitesimal bending of a surface with a point of flatnessN. V. Efimov, Z. D. Usmanov 28 The averaging principle for parabolic equations with variable principal termV. V. Zhikov 32 On a method for investigating the completeness of systems of analytic functionsI. I. Ibragimov 36 On the first boundary-value problem for higher-order hyperbolic equationsM. Meredov 39 On the distribution of the maximum sum of independent termsV. B. Nevzorov 43 On an analogue of the Froissart decomposition theorems for two complex variablesYu. V. Pedan 46 A complete solution of Hilbert’s fourth problemA. V. Pogorelov 48 A necessary and sufficient condition for the stability of a certain class of difference boundary value problemsS. I. Serdyukova 52 Generalized differential and infinite antagonistic games with dependent player strategiesÈ. R. Smol'yakov 56 MECHANICS On solving liquid film equations and on the appearance of temperature maximum within vitreous body under conditions of strong external radiationA. Z. Apshtein 60 FLUID MECHANICS On convective stability of Bingham fluidG. Z. Gershuni, E. M. Zhukhovitskiy 63 PHYSICS On the theory of spark ignitionV. N. Vilyunov 66 On the improvement of laser radiation divergence on neodymium glass with high energy of radiation in the impulseB. V. Ershov, V. A. Kiselev, Yu. P. Pimenov, V. B. Fyodorov 70 GEOPHYSICS On the determination of polarization transfer function in the spectrophotometering of natural formations on the planet surface from the near-cosmos regionK. Ya. Kondrat'ev, O. I. Smoktiy 77 The use of vacuum ultraviolet radiation for the measurement of humidity pulsationsS. I. Krechmer, E. P. Gaidai 81 On an inequality of magnetic prospectingH. H. Rempel' 84 On the relation between size-distribution of condensation nuclei and large cloud dropsV. I. Smirnov, B. N. Sergeev 87 CRYSTALLOGRAPHY Crystalline structure of synthetic basic $\mathrm{K},\mathrm{Sc}$-germinate, $\mathrm{K}_2\mathrm{Sc}_2[\mathrm{Ge}_2\mathrm{O}_7](\mathrm{OH})_2$Yu. A. Gorbunov, B. A. Maksimov, N. V. Belov 91