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 MATHEMATICS Remarks on an approximate method of solution of boundary value problemsM. A. Aleksidze 9 On the Gleason parts for algebras of analytic functions and measures orthogonal to these algebrasR. È. Val'skii 12 On Zolotarev stability of functionalsE. V. Voronovskaya 15 Degenerating elliptic equations of second order in arbitrary smooth regionsV. P. Glushko 18 On a nonlinear boundary value problemA. I. Guseinov, M. A. Abduragimov 22 Classes of uniqueness of solution of the Cauchy problem for linear equations with rapidly growing coefficientsYa. I. Zhitomirskii 26 Approximation of periodic functions by linear methods of summation of Fourier seriesV. V. Zhuk 30 Inductive and projective limits of commutative topological groupsJ. V. Karkliņš 34 Rates of convergence of coordinate relaxation for a quadratic functionalYu. I. Lyubich 37 Prenuclear mappings in scales of Banach and Hilbert spacesYu. I. Petunin 40 Best mean approximation by polynomials of functions having a real singular pointR. A. Raitsin 44 Mixed derivatives of functions summable with a weightS. V. Uspenskii 47 Groups with complemented subgroupsV. S. Charin 50 Constructive sets with equality and their mappingsV. A. Shurygin 54 AERODYNAMICS Some two-dimensional self-similar flows of a polytropic gas with variable entropyA. F. Sidorov 58 THEORY OF ELASTICITY The stress-strain relation in nonlinear viscous elasticityB. E. Pobedrya 62 PHYSICS Autorupture of generation in a ruby laserV. L. Broude, V. I. Kravchenko, P. P. Pogoretskii, E. N. Sal'kova, M. S. Soskin 64 The energy spectrum of electron emission by a single $\mathrm{KCl}$ crystal bombarded by helium ionsA. I. Kondrashov, N. N. Petrov 67 Investigation of the hyperacoustic properties of liquids by means of helium-neon laserL. V. Lanshina, Yu. G. Khoroshev, M. I. Shakhparonov 70 Superhigh frequency Raman scattering by ion-sound oscillations of organic plasmaD. D. Ryutov 73 CRYSTALLOGRAPHY Crystal structures of trivalent cobalt ammines(III) with intrasphericthiocyanategroup $[\mathrm{Co}(\mathrm{NH}_3)_5\mathrm{NCS}]\mathrm{X}_2$ ($\mathrm{X}=\mathrm{NO}_3,\mathrm{Cl},\mathrm{NCS}$)I. D. Samus', N. V. Belov 83