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1966, Volume 169, Number 1  


MATHEMATICS
Asymptotic formulae for a certain class of trigonometric sums
A. A. Karatsuba
9
Invariant subspaces of linear operators acting in a space with indefinite metric
G. K. Langer
12
Existence of solutions of a boundary value problem for an ordinary nonlinear differential equation of the $n$th order
A. Ya. Lepin, A. D. Myshkis
16
Interpretation of logical formulas by means of finite problems
Yu. T. Medvedev
20
The method of Skolem for the elimination of positive quantifiers in sequential calculi
G. E. Mints
24
Effectively topological spaces
E. Yu. Nogina
28
Algebraic independence of values of $E$-functions satisfying linear nonhomogeneous differential equations of the third order
V. A. Oleinikov
32
A class of functionals of sample functions of a stationary Gaussian process
Yu. M. Ryzhov
35
Local structure of continuous Markov processes
A. V. Skorokhod
38
Transcendence and algebraic independence of values of $E$-functions satisfying linear nonhomogeneous differential equations of the second order
A. B. Shidlovskii
42
Measures in linear spaces
G. E. Shilov
46
Regularized trace of the difference of two singular Sturm–Liouville operators
V. A. Yavryan
49

CYBERNETICS AND THE REGULATION THEORY
Autonomy in multiply connected systems of automatic control with variable structure
B. N. Petrov, S. V. Emel'yanov, M. B. Gritsenko
52

AERODYNAMICS
Piston motion in a heat-conducting viscous medium
M. P. Mikhailova
55
Solution to a chain of equations in the kinetic theory of gases
V. V. Struminskii
58

MATHEMATICAL PHYSICS
Automodel motion of a relativistic gas in a concomitant coordinate system
V. Ts. Gurovich
62
Asymptotic behaviour of Green's functions in viscous hydrodynamic approximation in the case of statistical mechanics of quantum systems
B. I. Sadovnikov
66

PHYSICS
The structure of dislocations in the crystal lattice and the proliferation mechanism of the dislocations
V. Z. Bengus
70
The use of the free-piston method in measuring pressures of up to 100 kilobars
L. F. Vereshchagin, E. V. Zubova, I. P. Buimova, K. P. Burdina
74
Quasi- line electron spectra of metal-derivatives of tetrabenzoporphyrin and phthalocyanine
A. 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 uranium
P. I. Chalov, K. I. Merkulova, T. V. Tuzova
89

CRYSTALLOGRAPHY
Single crystals of rare earths obtained by Verneuil method
A. A. Popova, V. B. Zotkina
92
 
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