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1987, Volume 292, Number 1  


MATHEMATICS
Isoperimetric relations and conditions for the extension of differentiable functions
S. K. Vodopyanov
11
On the general definition of a matroid and a greedoid
I. M. Gel'fand, V. V. Serganova
15
Summability of expansions in eigenfunctions of selfadjoint operators
V. I. Gorbachuk
20
Stability of a finite-difference analogue of a two-dimensional problem of integral geometry
S. I. Kabanikhin, G. B. Bakanov
25
Interpolation inequalities for Fourier multipliers and their applications
S. V. Kislyakov
29
Decomposition for nonseparable extremal problems
I. S. Litvinchev
33
A new approach to generalized solutions of nonlinear systems
V. P. Maslov
37
Periodic motions of a nonlinearly viscous fluid
P. E. Sobolevskii
41
Invariant difference schemes for equations of gas dynamics
A. S. Shvedov
46

FLUID MECHANICS
Connection between invariants of the Reynolds stress tensor and the scheme of calculation of the fluctuation characteristics of turbulent flow
V. A. Pavlovsky
51

GEOPHYSICS
Pattern recognition of high-seismic zones in the Pyrenees
A. D. Gvishiani, A. I. Gorshkov, V. G. Kosobokov
56

MATHEMATICAL PHYSICS
The computer diagnostics of semiconductor crystals
A. V. Goncharsky, V. V. Stepanov
60
Nonlocal analogues of the nonlinear Boussinesq equation for surface waves over an uneven bottom and their asymptotic solutions
S. Yu. Dobrokhotov
63
On the evolution and stability of soliton-like solutions of perturbed equations of Boussinesq type
K. V. Mal'kov, M. M. Khapaev
68
Gravitational field as two-dimensional geometrodynamics, and dyadic coordinates
R. F. Polishchuk
73

PHYSICS
Magnetogasdynamic effects during the interaction of magnetoplasma compressor erosive plasma flows with a gas
N. V. Ardelyan, A. S. Kamrukov, N. P. Kozlov, K. V. Kosmachevskii, Yu. P. Popov, Yu. S. Protasov, A. A. Samarskii, S. N. Chuvashev
78
“Ball lightning” in the mixture of neutral gases
B. S. Kerner, V. V. Osipov
82
Fractal dimensionality of aggregates formed during the laser-induced evaporation of metals
A. A. Lushnikov, A. V. Pakhomov, G. A. Chernyaeva
86
 
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