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1980, Volume 254, Number 5  


MATHEMATICS
Coefficients of functions of the class $S$
A. K. Bakhtin
1033
On estimating the rate of convergence of difference schemes in eigenvalue problems for convex domains
S. A. Voitsekhovskii, V. L. Makarov
1035
On the spectral theory of scalar operators in Banach spaces
Vu Kuok Fong
1038
On the first exit time of a multidimensional random walk from expanding sets
M. U. Gafurov
1042
On a criterion for the equality $D_A=D_{A^*}$ for dissipative operators
G. M. Gubreev, A. I. Kovalenko
1044
Some classes of differentiable functions
A. S. Dzhafarov
1047
On the convergence of the residual in the finite element method
A. V. Dzhishkariani
1052
On a boundary value problem with shift for a system of differential equations of elliptic-hyperbolic type
A. A. Karelin
1055
The method of parameter functionalization in the problem of bifurcation points
V. S. Kozyakin, M. A. Krasnosel'skii
1061
The majorant method for infinite systems of integral equations
R. A. Kordzadze
1065
An application of the Steiner point for investigating a class of sublinear operators
Yu. E. Linke
1069
Metric approximations and necessary optimality conditions for general classes of nonsmooth extremal problems
B. Mordukhovich
1072
On singular operators with a non-Carleman shift and their symbols
A. G. Myasnikov, L. I. Sazonov
1076
Difference potentials and projections
V. S. Ryaben'kii, A. Ya. Belyankov
1080
On fractional integrals and derivatives of a class of generalized functions
K. Skurnik
1085

CYBERNETICS AND THE REGULATION THEORY
On construction of a class of automatic regulation adaptive systems with possible failures
B. N. Petrov, Yu. M. Gusev, V. A. Semeran
1088

FLUID MECHANICS
The method of discrete vortices in hydrodynamics problems with fluid boundaries
V. I. Babkin, S. M. Belotserkovskii, V. V. Gulyaev, N. M. Molyakov
1092

THEORY OF ELASTICITY
A generalized theory of hardening
Yu. I. Kadashevich, V. V. Novozhilov
1096

GEOPHYSICS
Long-term geomagnetic variations before the Alai earthquake of 1978
L. S. Bezuglaya, Yu. P. Skovorodkin
1099
On the energy of wave emitted during the explosion with different initial pressure
P. F. Korotkov, B. M. Prosvirnina
1101
A direct problem of the salt diapir modeling
V. P. Myasnikov, V. L. Novikov, Yu. V. Sazonov
1105

PHYSICS
Nonlinear skin-effect in dense plasma
V. K. Ablekov, Yu. N. Babaev, A. M. Frolov
1108
Fundamental luminescence of ionic crystals under nanosecond irradiation by dense electron beams
D. I. Vaisburd, B. N. Semin
1112
Square and projection of bispin as conserved quantities for particles described by the Dirac equation
V. A. Dzhrbashyan
1116

CRYSTALLOGRAPHY
Synthesis and crystal structure of double molybdate, $\mathrm{K}_2\mathrm{Cu}_3(\mathrm{MoO}_4)_4$
L. A. Glinskaya, R. F. Klevtsova, V. G. Kim, P. V. Klevtsov
1122
Space groups of $(p')$-symmetry (Pawley) and theirs application to the derivation of five-dimensional crystallographic groups of symmetry
A. F. Palistrant
1126
Special positions in Fedorov groups
E. V. Chuprunov, T. N. Tarkhova, A. L. Talis, N. V. Belov
1131
 
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