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1970, Volume 190, Number 3  


MATHEMATICS
On sufficient conditions for the univalence of the solutions of inverse boundary value problems
F. G. Avkhadiev
495
Infinite irreducible systems of group identities
S. I. Adian
499
Mappings of families of sets
A. D. Aleksandrov
502
The stability of periodic motions in the transcendental case of two pure imaginary characteristic exponents
Yu. N. Bibikov
506
The triangular representation of operators that are close to unitary ones and the multiplicative expansion of their characteristic functions
V. M. Brodskii
510
The smoothness of weak solutions for a certain elliptic equation that degenerates on the boundary
V. N. Vragov
514
Sums of characters with prime numbers
A. A. Karatsuba
517
Certain reduction theorems for higher order logic
S. R. Kogalovskii
519
On the structure of differential games
N. N. Krasovskii, A. I. Subbotin
523
Certain questions of “global” regularization
G. I. Marchuk, S. A. Atanbaev
527
A certain integral equation of the theory of generalized analytic functions in the singular case
L. G. Mikhailov
531
On computing the rotation of finite-dimensional vector fields
È. Muhamadiev
535
On some quantitative characteristics of algorithmic languages
N. P. Ter-Zakharyan
538
The convergence of a sequence of linear continuous mappings of analytic spaces
K. M. Fishman
541

FLUID MECHANICS
Reflected one-dimensional rarefaction wave in the constant gravity field
K. Dzhusupov, K. P. Stanyukovich
545

THEORY OF ELASTICITY
A complete system of solutions in the theory of shallow shells
È. I. Grigolyuk, L. A. Fil'shtinskii
549

ASTRONOMY
Investigation of the composition of Venus atmosphere at automatic space probes “Venus-5” and “Venus-6”
A. P. Vinogradov, Yu. A. Surkov, B. M. Andreichikov
552

PHYSICS
Pinch effect in semiconductors under conditions of highly degenerated electron-hole plasma
I. I. Boiko
555
Thermooptical characteristics of neodymium-activated glasses
I. M. Buzhnitskiĭ, E. M. Dianov, S. K. Mamonov, L. M. Mikhailova, A. M. Prokhorov
558
Determination of electron affinity of antimony and bismuth atoms by the surface ionization method applicable to the elements with complex vapour composition
È. Ya. Zandberg, V. I. Paleev
562
A method of solving Cauchy problem for linearized Boltzmann equation and computation of space-time correlation functions
A. D. Khon'kin
565

CRYSTALLOGRAPHY
X-Ray method for determination of the spacing between heavy atoms in macromolecules in solution, and its application for the investigation of gramicidin $\mathrm{C}$ derivatives
B. K. Vaĭnshteĭn, N. I. Sosfenov, L. A. Feigin
574
 
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