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1997, Volume 354, Number 5  


MATHEMATICS
$GG$-functions of several variables and their connection with general hypergeometric functions
I. M. Gel'fand, M. I. Graev
583
Superinduction: a new method for proving general mathematical statements by means of a computer
A. A. Zenkin
587
On the smoothness of solutions of systems describing the flow of generalized Newtonian fluids and the estimation of the dimensions of their attractors
O. A. Ladyzhenskaya, G. A. Seregin
590
Reconstruction of objects from the minimum number of distorted patterns
V. I. Levenshtein
593
Semiconical sets, semi-homogeneous functions, and a new duality scheme in convex analysis
V. L. Levin
597

MATHEMATICAL PHYSICS
Hugoniot–Maslov chains for trajectories of point vortex singularities of shallow water equations, and the Hill equation
S. Yu. Dobrokhotov
600
The matrix Dirac equation
N. G. Marchuk
604
Global regularity of unsteady flows with piecewise-continuous vorticity
A. B. Morgulis
607

PHYSICS
Role of molecular and conductive mechanisms of heat transfer in propagation of heterogeneous combustion wave
S. G. Vadchenko, A. Yu. Gordopolov, A. S. Mukasyan
610
Experimental evidence of excessive mechanical noises existence
A. M. Dykhne, A. B. Manukin, V. A. Gurashvili, V. P. Matyunin, Yu. G. Kristev
613
On mechanism of forming high frequent wings of the depolarized component of the molecular scattering light in liquids
P. Kh. Khabibullaev, Sh. Otazhonov, A. A. Aivazova, B. Eshchonov
617

MECHANICS
The problem of dislocations in an elastic ring
Yu. A. Ustinov
619
Vibration dynamics of systems with constraints
V. I. Yudovich
622

GEOPHYSICS
Connection between space distribution of earthquake epicenters and movement of lithosphere blocks
I. A. Vorob'eva, A. A. Soloviev
672
Computer modeling of mantle flows with discontinuous density and viscosity across moving boundaries
B. M. Naimark
676
On magnetic field gradient separation into main and anomaly parts
Yu. P. Tsvetkov, N. M. Rotanova, T. N. Bondar
679
 
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