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1969, Volume 185, Number 1  


MATHEMATICS
The existence of invariant tori in the neighborhodd of a state of equilbrium of a system of differential equations
Yu. N. Bibikov
9
Stabilization of a solution of the heat equation
Yu. N. Drozhzhinov
13
A game-theoretic version of an optimal stopping problem
E. B. Dynkin
16
Infinite spectra of topological spaces and their limit spaces
V. Zaitsev
20
Two methods of finding equilibrium points of concave $n$-person games
S. I. Zukhovitskii, R. A. Polyak, M. E. Primak
24
On the solution of Cauchy iteration problems in basis series
M. B. Kapilevich
28
Some syntactic theorems on Ju. T. Medvedev's calculus of finite problems
L. A. Levin
32
Continuity of metric projection and some geometric properties of the unit sphere in a Banach space
E. V. Oshman
34
The algorithms which are connected with predicates and with Boolean functions
N. V. Petri
37
An exterior inverse problem of volume potential of variable density for a body which is close to a given one
A. I. Prilepko
40
The asymptotics of the prediction error in the multi-dimensional case
V. N. Solev
43
On the Tauberian theorem of M. V. Keldys
M. A. Subkhankulov, F. I. An
47
Gauss and Cauchy measures and $\varepsilon$-entropy
V. N. Sudakov
51
Mappings which do not lower the dimension
V. V. Fedorchuk
54

CYBERNETICS AND THE REGULATION THEORY
Functional equivalence of automata with a final state
A. A. Letichevskii
58

MATHEMATICAL PHYSICS
The discrete and continuous spectra of the radial Dirac equation
L. A. Sakhnovich
61

PHYSICS
Conformally plane gravitational fields generated by dustlike matter
V. I. Vashchuk
65
Excitation of vibrations and the disintegration of biatomic molecules when they collide with atoms in a high-temperature gas
B. V. Kuksenko, S. A. Losev
69
Configurational representation of nucleonic interaction in a superfluid nucleus model
V. Rybarska
73
Durability of solids as dependent on temperature
R. L. Salganik
76

GEOPHYSICS
Transient processes in a convective system model
S. V. Pshenay-Severin
87
 
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