Dokl. Akad. Nauk SSSR, 1969, Volume 187, Number 1

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1969, Volume 187, Number 1

MATHEMATICS
	On two subclasses of Turing machines which can be reduced to finite automata Yu. Ya. Breitbart, V. A. Kozmidiady	9
	A Morse theory of nonmultiple closed curves A. M. Vinogradov	11
	A certain transfer theorem B. V. Gnedenko, Gussein Fahim	15
	The spectrum of singular integrals on regions with boundary R. Denchev	18
	Solution of certain problems on dyadic bicompacta B. Efimov	21
	Groups of generalized motions N. H. Ibragimov	25
	Generalized solutions of the Cauchy problem in the large for first order nonlinear equations S. N. Kruzhkov	29
	A certain transformation of convex functions and a duality of the $\beta$ and $\delta$ characteristics of a $B$-space V. D. Milman	33
	Metric properties of mappings which leave certain integral functionals bounded I. S. Ovchinnikov	36
	Magnitudes of deviations of meromorphic functions of lower order less than unity V. P. Petrenko	40
	Algebras without nilpotent elements Yu. M. Ryabukhin	43
	Strongly closed mappings V. V. Fedorchuk	47
	Equivalence groups of second order linear differential equations I. D. Cherkasov	50

FLUID MECHANICS
	Long unsteady waves in a rotating basin B. I. Sebekin	53

THEORY OF ELASTICITY
	Energy condition for the growth of cracks in elasticoplastic bodies E. M. Morozov	57
	A version of a plane stressed state with finite elastic deformations G. S. Taras'ev	61
	A symmetry theorem for shallow forms of equilibrium of geometrically nonlinear shallow and nonshallow shells D. I. Shil'krut	64

PHYSICS
	Excitation on non-potential oscillations in the plasma of solids A. A. Ivanov, E. Z. Meilikhov, V. V. Parail, D. A. Frank-Kamenetskii	68
	Contraction of cylindrical gas discharge A. T. Rakhimov, F. R. Ulinich	72
	On Schwarzschild's metric in synchronous frame of reference K. P. Stanyukovich	75

GEOPHYSICS
	Physical process differences in the foci of weak and of strong earthquakes K. V. Pshennikov	85

CRYSTALLOGRAPHY
	The mechanism of avalanchelike crystallization of epsomite È. D. Rogacheva, A. A. Rosenblum, A. V. Belyustin	88