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1969, Volume 189, Number 5  


MATHEMATICS
Direct sums of division algebras
V. A. Andrunakievich, Yu. M. Ryabukhin
927
A certain decomposition of a linear operator
M. A. Gol'dman
930
A certain class of semigroups
P. P. Zabreiko, A. V. Zafievskii
934
Exponential decay of the solution of the wave equation outside an almost star-shaped region
V. Ya. Ivrii
938
Asymptotics of the solution of a problem with initial jump for nonlinear systems of differential equations with a small parameter multiplying the highest derivative
K. A. Kasymov
941
New integral transforms
M. L. Rasulov, I. S. Zeinalov
945
Asymptotic behavior of the time of attainment for sums of random values controlled by a regular semi-Markov process
D. S. Sil'vestrov
949
A method of solution of a special form of integer linear programming problems
V. A. Trubin
952
Cubature formulae with assignment of the derivatives in the periodic case
T. I. Khaitov
955
The distribution of the eigenvalues of the operator of a selfadjoint elliptic boundary value problem in an unbounded domain
S. D. Shmulevich
959

CYBERNETICS AND THE REGULATION THEORY
Application of the principle of the maximum to the calculation of optimum equations of discrete systems
R. Gabasov, F. M. Kirillova
963

MECHANICS
A new solution of the differential equations of motion of a body with a fixed point under Kowalewska's conditions
E. I. Kharlamova, P. V. Kharlamov
967

MATHEMATICAL PHYSICS
Two-sided variation estimates for polarizability coefficients in the theory of diffraction at small apertures
R. F. Fikhmanas, P. Sh. Fridberg
969

PHYSICS
The ultrasound influence on the formation of tracks of high-energy particles, as investigated in a liquid hydrogen bubble chamber
V. A. Akulichev, L. R. Gavrilov, V. G. Grebinnik, V. A. Zhukov, G. Libman, A. P. Manych, Yu. I. Rudin, L. D. Rozenberg, G. I. Selivanov
973
Recombination radiation in semiconductors in the presence of pinch-effect under conditions of strong degeneration and electron and hole gases
V. V. Vladimirov
976
On the problem of possible existence of superheavy elements in nature
V. M. Vdovenko, È. V. Sobotovich
980
Stationary movement of a beam of charged particles, taking into account its own space charge
B. I. Volkov, A. G. Sveshnikov, N. N. Semashko
984
Octupole states of even-even nuclei in the region of $150\le A\le176$
L. A. Malov, V. G. Solov'ev, S. I. Fedotov
987
The destruction of colour centres in $\mathrm{NaCl}$-monocrystals in the shock compression process
O. B. Yakusheva, V. V. Yakushev, A. N. Dremin
991

CRYSTALLOGRAPHY
Crystalline structure of kurnakovite $\mathrm{Mg}_2\mathrm{B}_6\mathrm{O}_{11}\cdot15\mathrm{H}_2\mathrm{O}=2\mathrm{Mg}[\mathrm{B}_3\mathrm{O}_3(\mathrm{OH})_5\cdot5\mathrm{H}_2\mathrm{O}$
Z. P. Razmanova, I. M. Rumanova, N. V. Belov
1003
 
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