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1983, Volume 270, Number 5  


MATHEMATICS
Normal forms of Hamiltonian operators in field theory
A. M. Astashov
1033
An analogue of the first boundary value problem for an elliptic equation of order $2m$ with power degeneration on the boundary
B. L. Baĭdel'dinov
1038
On accessory coefficients in the Schwarz equation
A. B. Venkov
1042
On the implicativity of the lattice of truth-table degrees of algorithmic problems
M. I. Kanovitch
1046
Theorems on the solvability of nonlinear equations of the second kind and some applications
G. M. Magomedov, Kh. B. Khanikalov
1051
Uniform optimization of Monte Carlo weight methods. A minimax approach
G. A. Mikhailov
1054
Existence of a generalized solution of the Cauchy problem for a system of two quasilinear hyperbolic equations without convexity conditions
G. N. Pazin, V. A. Tupchiev
1058
Closed-form solvable boundary value problems of Riemann type for polyanalytic functions
K. M. Rasulov
1061
On minimum error probability in discriminant analysis
V. I. Serdobol'skii
1066
On linear equations with normal coefficients
V. S. Shulman
1070

CYBERNETICS AND THE REGULATION THEORY
Bayes estimates of vector quantities under conditions of small statistics
V. I. Sobolev
1074

MECHANICS
The theory of vibrations of composite materials with very small-scale bends in the structure
A. N. Guz
1078

FLUID MECHANICS
Exact solutions of a problem with free boundary for the Stokes system
L. K. Antonovskii
1082
Hydrodynamic formulation of geochemical problems with the movement of ground water having a free surface
E. S. Dzektser, N. P. Kuranov
1085
Parametric resonance in a stratified liquid in a container undergoing vertical vibrations
S. Ya. Sekerzh-Zen'kovich
1089

MATHEMATICAL PHYSICS
Modified likelihood function in the problem of the source angular coordinate determination using an antenna array
V. A. Varyuhin, V. I. Pokrovskii, V. F. Sakhno
1092
The Landau–Lifshits equation and integrable systems of classical mechanics
A. P. Veselov
1094
Nonscattering media
M. L. Gerver, N. S. Nadirashvili
1097
Inverse problems for linear radiative transfer in a plane medium
A. Ya. Kazakov
1100

PHYSICS
On the spontaneous onset of irregular or pulsing structures at the stratification of uniform state of the nonequilibrium systems
B. S. Kerner, V. V. Osipov
1104
Formation of plasma flows in a high-current diodes
V. D. Korolev, V. P. Smirnov, M. V. Tulupov, V. Ya. Tsarfin, A. S. Chernenko
1109

CRYSTALLOGRAPHY
Crystal structure of $\mathrm{Li},\mathrm{Fe}$-metaphosphate $\mathrm{LiFeP}_3\mathrm{O}_9$
E. A. Genkina, B. A. Maksimov, Yu. K. Kabalov, O. K. Melnikov
1113
Physicochemical investigation of synthetic malachite
I. V. Timokhina, V. S. Balitskii, A. A. Shaposhnikov, T. M. Bublikova, V. S. Kovalenko, G. L. Akhmetova, A. B. Dubovskii, T. G. Andreeva, T. V. Shironina
1117
 
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