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 MATHEMATICS On two subclasses of Turing machines which can be reduced to finite automataYu. Ya. Breitbart, V. A. Kozmidiady 9 A Morse theory of nonmultiple closed curvesA. M. Vinogradov 11 A certain transfer theoremB. V. Gnedenko, Gussein Fahim 15 The spectrum of singular integrals on regions with boundaryR. Denchev 18 Solution of certain problems on dyadic bicompactaB. Efimov 21 Groups of generalized motionsN. H. Ibragimov 25 Generalized solutions of the Cauchy problem in the large for first order nonlinear equationsS. N. Kruzhkov 29 A certain transformation of convex functions and a duality of the $\beta$ and $\delta$ characteristics of a $B$-spaceV. D. Milman 33 Metric properties of mappings which leave certain integral functionals boundedI. S. Ovchinnikov 36 Magnitudes of deviations of meromorphic functions of lower order less than unityV. P. Petrenko 40 Algebras without nilpotent elementsYu. M. Ryabukhin 43 Strongly closed mappingsV. V. Fedorchuk 47 Equivalence groups of second order linear differential equationsI. D. Cherkasov 50 FLUID MECHANICS Long unsteady waves in a rotating basinB. I. Sebekin 53 THEORY OF ELASTICITY Energy condition for the growth of cracks in elasticoplastic bodiesE. M. Morozov 57 A version of a plane stressed state with finite elastic deformationsG. S. Taras'ev 61 A symmetry theorem for shallow forms of equilibrium of geometrically nonlinear shallow and nonshallow shellsD. I. Shil'krut 64 PHYSICS Excitation on non-potential oscillations in the plasma of solidsA. A. Ivanov, E. Z. Meilikhov, V. V. Parail, D. A. Frank-Kamenetskii 68 Contraction of cylindrical gas dischargeA. T. Rakhimov, F. R. Ulinich 72 On Schwarzschild's metric in synchronous frame of referenceK. P. Stanyukovich 75 GEOPHYSICS Physical process differences in the foci of weak and of strong earthquakesK. V. Pshennikov 85 CRYSTALLOGRAPHY The mechanism of avalanchelike crystallization of epsomiteÈ. D. Rogacheva, A. A. Rosenblum, A. V. Belyustin 88