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1982, Volume 267, Number 5  


MATHEMATICS
On the decomposition of matrices over certain universal algebras
G. V. Babikov
1033
Increasing asymptotic solutions of the Korteweg–de Vries equation and its higher analogues
I. N. Bondareva, M. A. Shubin
1035
On a property of the limit distributions for the maximum and minimum terms of a variational series
B. V. Gnedenko, L. Senusi-Bereksi
1039
On the Stanley conjecture and the classification of finite groups whose algebra of invariants is a complete intersection
N. L. Gordeev
1040
Weakly predictable random fields
A. A. Gushchin
1043
On the behavior in the neighborhood of a boundary point of the solutions of degenerate second order parabolic equations for the Zaremba problem
A. I. Ibragimov, A. A. Novruzov
1046
Boolean-valued analysis of duality of extended modules
A. G. Kusraev
1049
On computation of the defect of an asymptotically efficient test in the case of Markov observations
V. K. Malinovskii
1053
On some characteristics of algorithms for minimizing Boolean functions
Nguyen Kim Anh
1058
On boundary and initial values in $\mathcal{L}_p$, $p>1$, of solutions of second order parabolic equations
I. M. Petrushko
1063
On general theory of almost everywhere polyharmonic functions
B. K. Pchelin
1066

CYBERNETICS AND THE REGULATION THEORY
Graph-analytic method for testing the stability of a continuous system with a single monotone nonlinearity in the case of the nonapplicability of A. A. Voronov
A. V. Lipatov
1069

MECHANICS
Generalized solutions of the dynamical theory of plasticity and thermoplasticityGeneralized solutions of the dynamical theory of plasticity and thermoplasticity
B. A. Druyanov
1073

GEOPHYSICS
Natural frequencies and seismograms of the torsional oscillations of the Earth
Yu. A. Adamchik
1076
“Non-ray” effects in the theory of seismic wave propagation
A. S. Alekseev, B. G. Mikhailenko
1079
Space IR spectrometry and the problem of atmosphere pollution
M. N. Markov
1084

MATHEMATICAL PHYSICS
Kinetic equation for a spontaneously dissociating gas
V. K. Ablekov, Yu. N. Babaev, A. M. Frolov
1089
Conditions for local gauge and relativistic invariance of universal first-order nonlinear equations in the theory of fundamental interactions
A. A. Babich, V. I. Kuvshinov, F. I. Fedorov
1093
The method of spherical harmonics for the transfer equation
V. Yu. Plyashkevich
1098

PHYSICS
Nonlinear dynamics of resistive domains in nonhomogeneous superconductors
A. V. Gurevich, R. G. Mints
1103
Cascade laser generation of $\mathrm{Er}^{3+}$ ions in crystals of $\mathrm{YAlO}_3$ according to the scheme $^4S_{3/2}\to^4I_{9/2}\rightsquigarrow^4I_{11/2}\to^4I_{13/2}$
A. A. Kaminskii
1106
Vavilov–Cherenkov radiation as a source of photoradiation processes in the electron tracks
I. G. Kaplan, N. V. Polyanskii
1110

CRYSTALLOGRAPHY
Theorem of revolutions in the space of quaternions
V. I. Burdina
1122
Crystal structure of barium chlorоsilicate
A. M. Il'inets, V. V. Ilyukhin, N. V. Belov, N. N. Nevsky
1125
Structural investigation of the complex compound $[\mathrm{Cr}(\mathrm{OCN}_2\mathrm{H}_4)_6] [\mathrm{Co}(\mathrm{DH})_2(\mathrm{NO}_2)_2]_2\cdot0{,}5\mathrm{J}_3^-\cdot0{,}5\mathrm{X}^-\cdot n\mathrm{H}_2\mathrm{O}$
V. G. Rau, V. I. Bondar', V. V. Ilyukhin, Yu. T. Struchkov, N. V. Belov
1128

Поправки к статье “Зависимость числа решений однородной задачи Римана от контура и модуля коэффициента” (ДАН, т. 264, № 6, 1982 г.)
E. A. Danilov
Поправки к статье “Обобщенные приближенно келеровы многообразия постоянной голоморфной конформной кривизны” (ДАН, т. 265, № 2, 1982 г.)
V. F. Kirichenko
 
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