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1984, Volume 278, Number 1  


MATHEMATICS
A group of symmetries in an optimization problem
A. P. Abramov
11
Toeplitz determinants with symbols from the Fisher–Hartwig class
A. Böttcher, B. Silbermann
13
Hypercomplex systems with compact and discrete basis
L. I. Vainerman
16
Two-parameter fields of diffusion type
I. I. Gikhman
20
Sufficient conditions for a minimum for nonlinear programming problems
Yu. G. Evtushenko, V. A. Purtov
24
Nonlinear operator-differential equations and their applications
L. I. Kuchmins'kaya
27
An interior a priori estimate for solutions of second-order degenerate elliptic equations
I. T. Mamedov, A. A. Novruzov
30
Higher-order hyperspaces
M. M. Maryanovich
34
Averaging and $G$-convergence of nonlinear elliptic operators of divergence type
A. A. Pankov
37
On the theory of normal solvability of nonlinear equations
K. N. Soltanov
42
Equivalent contractions
V. A. Khatskevich, Yu. L. Shmul'yan, V. S. Shulman
47
Uncountable powers of the line and of natural numbers, and $n$-soft mappings
A. Ch. Chigogidze
50
A problem of Fox
I. A. Yunus
53

FLUID MECHANICS
Motion with “frozen-in” isobars: trochoidal waves and the isobaric Rayleigh–Taylor mode
N. A. Inogamov
57
Influence of the anisotropic properties of a fluid on wall turbulence
V. N. Pilipenko, G. V. Kireiko
61
Hydrodynamics of disperse and gas-liquid flows
V. V. Struminskii, O. B. Gus'kov, Yu. N. Kul'bitskii
65

GEOPHYSICS
Multiple scattering of a plane wave on the rough surface with a near-surface waveguide
B. I. Klyachin
69
On the possibility of control of the efficiency of underhand or overhand mining of a coal bed based on the investigation of stress wave propagation in it
Yu. F. Kovalenko, R. L. Salganik, L. I. Shleifman, V. S. Yamshchikov
72
Boundary velocities of longitudinal seismic waves and the lateral heterogeneities of the ocean upper mantle
N. Ya. Kunin, N. V. Goncharova, G. I. Semenova, S. V. Usenko, E. R. Sheikh-Zade, Yu. G. Zorina
76

MATHEMATICAL PHYSICS
Static soliton solutions of Einstein–Maxwell equations
A. T. Il'ichev
82

PHYSICS
Investigation of the current density dependence in cathode spot on cathode plasma parameters
M. P. Zektser, V. I. Rahovskii
86
Description of temporal evolutions of the donor excited state population in rare-earth pentaphosphate crystals at quenching jump mechanism
A. V. Krutikov, V. A. Smirnov, I. A. Shcherbakov
89

CRYSTALLOGRAPHY
Determination of support fragments of a structure by the $S$-filtration method
N. M. Andrushevskii, N. P. Zhidkov, B. M. Shchedrin, T. I. Malinovskii
101
Synthesis of cesium and cobalt double polyphosphates and the crystal structure of $\mathrm{Cs}_2\mathrm{Co}(\mathrm{PO}_3)_4$
V. A. Efremov, V. V. Ilyukhin, A. V. Lavrov, A. M. Turchaninov
103
The crystal structure of shahovite $\mathrm{Hg}_4\mathrm{SbO}_6$
N. A. Pal'chik, M. Yu. Antipin, V. I. Vasil'ev, K. A. Potekhin, Yu. T. Struchkov
108
Power Cepstrum as a sharpening function of the Patterson map
M. V. Sergeeva, E. N. Kurkutova
112

Correction: “The inclusion principle for standard systems”
A. A. Martynyuk
 
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