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1985, Volume 284, Number 1  


MATHEMATICS
Some properties of the solutions of the first boundary value problem for parabolic equations with discontinuous coefficients
Yu. A. Alkhutov, I. T. Mamedov
11
Arithmetic conditions for solvability of nonlinear systems of Diophantine equations
G. I. Arkhipov, V. N. Chubarikov
16
Multidimensional inverse problems of spectral analysis
A. L. Bukhgeim
21
A relationship between algorithmic problems and entropy characteristics of groups
R. I. Grigorchuk
24
Equations that are related to the Korteweg-de Vries equation
V. G. Drinfeld, V. V. Sokolov
29
Conjugate functions of several variables and multiple conjugate trigonometric series
L. V. Zhizhiashvili
34
Estimates for percolation thresholds for lattices in $R^n$
M. V. Men'shikov
36
Phenomenological and group symmetries in the geometry of two sets (theory of physical structures)
G. G. Mikhailichenko
39
Stabilization of solutions of a perturbed wave equation
L. A. Muravei
43
Conservatism of finite-difference schemes
V. V. Ostapenko
47
On the asymptotics of the spectrum of a transport operator in the plane-parallel case
M. Otelbaev
51
Estimation of the spectral function corresponding to an expansion in a multiple system of exponentials
Ya. Sh. Salimov
53
Inverse spectral problems for systems of equations
L. A. Sakhnovich
57
Szegő limit theorems in the case of a matrix locally sectorial symbol
I. M. Spitkovsky
61

CYBERNETICS AND THE REGULATION THEORY
Stability and approximation of generalized attainability sets
A. V. Lotov
66

FLUID MECHANICS
On a macroscopic method of entropy determination for non equilibrium states
A. G. Kulikovskii, M. È. Èglit
70

GEOPHYSICS
A new method for solving boundary value problems of continuum mechanics and mathematical physics for nonclassical domains
V. A. Babeshko
73
On the dynamics of change in composition of Koshabulak structure underground waters in the period of preparation of the Gazli earthquake of Mars 19, 1984
G. I. Voitov, M. B. Gokhberg, I. G. Kissin, Ya. A. Khodzhakuliev, S. Sh. Sheberdyev, K. B. Berdyev, V. Ya. Serdyukov
77
Effective thermoelastic moduli of two-phase composites with ellipsoidal inclusions
M. A. Grinfel'd, S. L. Langman
81
On the earthquake frequency-magnitude variations with depth
V. A. Kalinin, M. V. Rodkin
87
Relief of the upper mantle surface and main features of the Earth Northern Hemisphere crust
N. Ya. Kunin, N. V. Goncharova, S. V. Usenko
89
An inverse problem for forced harmonic oscillations of Rayleigh type
V. M. Markushevich
94
Integrated study of environment with radiophyskal methods
V. P. Shestopalov, A. I. Kalmykov, V. A. Komyak, A. S. Kurekin, A. P. Pichugin, A. S. Gavrilenko, A. P. Evdokimov, L. V. Elenskii, V. B. Efimov, V. I. Zeldis, V. V. Igolkin, S. S. Kavelin, Yu. A. Kuleshov, V. Yu. Levantovskii, A. S. Levda, Yu. G. Spiridonov, P. M. Torchun, A. B. Fetisov, V. N. Tsymbal, S. A. Shilo, S. E. Yatsevich
98

MATHEMATICAL PHYSICS
Representation of a three-dimensional vector field by scalar potentials
Ya. B. Zel'dovich, A. A. Ruzmaikin, D. D. Sokoloff
103
Scattering of many particles in an external electric field
E. L. Korotyaev
107
The Darboux transformation for a discrete analogue of Silin–Tikhonchuk equations
S. B. Leble, M. A. Sall'
110

PHYSICS
Stability of two-dimensional solitary waves of the Kadomtsev–Petviashvili equation
S. K. Zhdanov
115

CRYSTALLOGRAPHY
Crystal structure of $\mathrm{Ba}_3\mathrm{WO}_5\mathrm{Cl}_2$
V. I. Spitsyn, V. L. Balashov, A. L. Harlanov, L. N. Lukova, L. M. Kovba
125
Structure of ternary molybdate, $\mathrm{LiMgIn}(\mathrm{MoO}_4)_3$
Z. I. Khazheeva, M. V. Mohosoev, N. N. Smirnyagina, N. M. Kozhevnikova, F. P. Alekseev, V. I. Simonov
128
Crystal structure of $1$-[$1$-($2$-oxaperhydroazepino)ethyl] silatrane
V. E. Shklover, Yu. È. Ovchinnikov, Yu. T. Struchkov, V. M. Kopylov, T. G. Kovyazina, M. G. Voronkov
131
 
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