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 Dokl. Akad. Nauk: Year: Volume: Issue: Page: Find

 MATHEMATICS Asymptotic formulae for a certain class of trigonometric sumsA. A. Karatsuba 9 Invariant subspaces of linear operators acting in a space with indefinite metricG. K. Langer 12 Existence of solutions of a boundary value problem for an ordinary nonlinear differential equation of the $n$th orderA. Ya. Lepin, A. D. Myshkis 16 Interpretation of logical formulas by means of finite problemsYu. T. Medvedev 20 The method of Skolem for the elimination of positive quantifiers in sequential calculiG. E. Mints 24 Effectively topological spacesE. Yu. Nogina 28 Algebraic independence of values of $E$-functions satisfying linear nonhomogeneous differential equations of the third orderV. A. Oleinikov 32 A class of functionals of sample functions of a stationary Gaussian processYu. M. Ryzhov 35 Local structure of continuous Markov processesA. V. Skorokhod 38 Transcendence and algebraic independence of values of $E$-functions satisfying linear nonhomogeneous differential equations of the second orderA. B. Shidlovskii 42 Measures in linear spacesG. E. Shilov 46 Regularized trace of the difference of two singular Sturm–Liouville operatorsV. A. Yavryan 49 CYBERNETICS AND THE REGULATION THEORY Autonomy in multiply connected systems of automatic control with variable structureB. N. Petrov, S. V. Emel'yanov, M. B. Gritsenko 52 AERODYNAMICS Piston motion in a heat-conducting viscous mediumM. P. Mikhailova 55 Solution to a chain of equations in the kinetic theory of gasesV. V. Struminskii 58 MATHEMATICAL PHYSICS Automodel motion of a relativistic gas in a concomitant coordinate systemV. Ts. Gurovich 62 Asymptotic behaviour of Green's functions in viscous hydrodynamic approximation in the case of statistical mechanics of quantum systemsB. I. Sadovnikov 66 PHYSICS The structure of dislocations in the crystal lattice and the proliferation mechanism of the dislocationsV. Z. Bengus 70 The use of the free-piston method in measuring pressures of up to 100 kilobarsL. F. Vereshchagin, E. V. Zubova, I. P. Buimova, K. P. Burdina 74 Quasi- line electron spectra of metal-derivatives of tetrabenzoporphyrin and phthalocyanineA. N. Sevchenko, K. N. Solov'ev, A. T. Gradyushko, S. F. Shkirman 77 GEOPHYSICS The absolute age of the Aralian Sea, figured out from unbalanced uraniumP. I. Chalov, K. I. Merkulova, T. V. Tuzova 89 CRYSTALLOGRAPHY Single crystals of rare earths obtained by Verneuil methodA. A. Popova, V. B. Zotkina 92