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1966, Volume 171, Number 5  


MATHEMATICS
Approximation of functions of the $W_p^\alpha$-classes by piece-wise-polynomial functions
M. Sh. Birman, M. Z. Solomyak
1015
Relaxation method for finding a common point of convex sets and its application to optimization problems
L. M. Brègman
1019
Approximation of a function by rational fractions
A. G. Vitushkin
1023
Differentiation and quasi-linear operators in the space of functions whose generalized derivatives are measures
A. I. Vol'pert
1027
On some differential topological invariants of multiply connected domains
V. Golo
1030
Correctness of the Cauchy problem and the analyticity of solutions of the evolution equation
S. G. Krein
1033
Classification of no-oscillation cases for equation $\ddot{x}+p(t)\dot{x}+q(t)x=0$ where $q (t)$ is of constant sign
A. Yu. Levin
1037
Saddle-points of functionals of uniform approximation
S. V. Smirnov, M. K. Potapov
1041
Some problems in the theory of vector invariants
D. Khadzhiev
1045
Word equations without coefficients
Yu. I. Khmelevskii
1047

ASTRONOMY
Distribution of the surface brightness in the head of a comet when the dispersion of the initial velocities is allowed
D. O. Mokhnach
1050

MATHEMATICAL PHYSICS
Difference method for the solution of coefficient boundary value problems
B. M. Budak, A. D. Iskenderov
1054
Expansion of the direct product of representations of the discrete unitary series $D_\lambda^+$ of the Lorentz group $\mathscr{L}_3$
S. S. Sannikov
1058

PHYSICS
Absorption of microradiowaves in the air by water varour dimers
A. A. Viktorova, S. A. Zhevakin
1061
Statistical distribution in media disturbed by alien particles
Yu. V. Gurikov
1065
Absorption and dispersion of light in the formation of molecular excitons
A. S. Davydov, E. N. Myasnikov
1069
Equations for Green's function in Coulomb systems with collisions
V. N. Mel'nikov
1072
Quasilinear theory of two-beam instability
A. V. Shut'ko
1076

GEOPHYSICS
The dynamic effect of atmospheric pressure perturbation on sea currents
S. S. Lappo
1088

CRYSTALLOGRAPHY
The structural mechanism of the electrooptical and thermooptical effects in ferroelectric crystals of the triglycine-sulphate type
N. R. Ivanov, L. A. Shuvalov, L. D. Kislovskii
1092
 
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