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1991, Volume 319, Number 1  


MATHEMATICS
Limit theorems for random polynomial forms
A. Basalikas
11
An effective iterative method for the solution of Lamé equations for almost incompressible media and of Stokes equations
N. S. Bakhvalov, A. V. Knyazev
13
The Lyusternik–Shnirel'man theory for transversally convex subsets of Hilbert manifolds and its application in optimal control theory
S. A. Vakhrameev
18
On the solvability of a class of functional-differential equations on the semi-axis and some spectral problems
V. V. Vlasov
22
Quasiconvex analysis on semilattices and absolutely defined matrices
V. A. Gurvich, L. O. Libkin
27
Formulation of three-dimensional elliptic boundary value problems for systems
A. Dzhuraev
33
Exactly uniformly correct solvability of the Cauchy problem
V. A. Kostin
38
A sharp estimate for the boundary behavior of functions in the Hardy–Sobolev classes $H^p_\alpha(B^n)$ in the critical case $\alpha p=n$
V. G. Krotov
42
Some singular partial differential equations
L. G. Mikhailov
46
Approximation, on a manifold, of functions of Besov class by entire functions of exponential type
S. M. Nikol'skii
53
A syntactical description of filtering formulas
A. I. Omarov
58
The classical regularized trace formula for eigenvalues of the Laplace-Beltrami operator with potential on the sphere $S^2$
V. A. Sadovnichii, V. V. Dubrovskiy
61
On the theory of time-inhomogeneous evolution equations with impulse actions
A. M. Samoilenko, M. Ilolov
63
Regularity of a boundary point for a quasilinear parabolic equation
I. V. Skrypnik
68
A class of noncentered fifth-order compact difference schemes based on Padé approximations
A. I. Tolstykh
72
A reduction theorem for invariant lattices of type $A_n$
Pham Huu Tiep
78
The problem of closure of the chains of moment equations corresponding to the three-dimensional Navier–Stokes system in the case of large Reynolds numbers
A. V. Fursikov
83

CYBERNETICS AND THE REGULATION THEORY
Some properties of trajectories of dynamical systems
S. M. Dzyuba
88
A method for stabilizing discrete objects with compact uncertainty
S. V. Emel'yanov, P. V. Zhivoglyadov, S. K. Korovin
91
The direct Lyapunov method and the control of dynamical systems on smooth orientable manifolds
G. A. Stepanyantz
98
An extended universe for systems with minimal structures
V. F. Yakovlev
103

MECHANICS
Trapezoidal profiles of a string striking a vibrating wall
V. Krupenin
106
Continual approximation for high-frequency oscillations of a chain, and composite equations
I. F. Obraztsov, I. V. Andrianov, B. V. Nerubailo
111

AERODYNAMICS
Application of the method of “generated splines” for solving equations of turbulent heat and water exchange in plant cover
Yu. A. Pykh, D. A. Levin
113

FLUID MECHANICS
Predominantly-unidirectional motion of gas bubble in vibrating liquid
V. L. Sennitskii
117

GEOPHYSICS
Monotype plane nonlinear seismic waves
V. V. Gur'yanov
120
Laminarization of cores of atmospheric turbulent vortices
D. Sh. Iskanderov, V. N. Nikolaevskii
124
Scattering coefficient of scalar field reflected from rough surface
G. A. Maksimov, S. Z. Dunin, A. L. Gavrilov
129
Regularities of the dynamics of foreshock-aftershock earthquake sequences near the Southern Kuril Islands
A. I. Malyshev, I. N. Tikhonov
134
On the problem of short-term forecast of earthquakes
V. A. Morgunov
138
Algebraic methods in linear problems of gravimetry and magnetometry. Basic ideas
V. N. Strakhov
143

MATHEMATICAL PHYSICS
The Fredholm property of the problem of diffraction by a flat bounded ideally conducting screen
Yu. G. Smirnov
147

PHYSICS
On the mass of particle-like excitations in a fluid
S. T. Belyaev, Yu. K. Krasnov
150
Exact linearized collision integral for plasma
V. B. Bobrov, S. A. Triger
154
Analytic solution of the Hartree equation for the ground state of a helium atom
E. P. Vol'skii
158
Exchange theory of electron pairing in solids
A. V. Kulakov, E. V. Orlenko, A. A. Rumyantsev
161
On the choice of the minimization functional in the partial wave analysis
S. A. Sadovskiĭ
165
 
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