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1980, Volume 253, Number 6  


MATHEMATICS
A method of computing higher symmetries of nonlinear evolution equations, and nonlocal symmetries
A. M. Vinogradov, I. S. Krasil'shchik
1289
Ground states in a periodic field. Magnetic Bloch functions and vector bundles
B. A. Dubrovin, S. P. Novikov
1293
On interpolation in a class of families of Banach spaces
L. V. Koledov, V. V. Naumov
1298
A differential game for the positional functional
A. N. Krasovskii
1303
The comparison principle and averaging in systems with fast and slow motions
A. A. Martynyuk
1307
Existence and nonexistence theorems for a class of equations of variable type
V. A. Novikov
1311
On $R$-identity of second-order elliptic and parabolic operators
A. A. Novruzov, I. T. Mamedov
1314
A covering map criterion in domains of normed spaces
R. S. Sadyrkhanov
1318
On the Montessus de Ballore theorem for nonlinear Padé approximations of orthogonal expansions and Faber series
S. P. Suetin
1322

AERODYNAMICS
Free interaction and stability of the boundary layer in an incompressible fluid
V. I. Zhuk, O. S. Ryzhov
1326

FLUID MECHANICS
Shock-wave amplification in a liquid with gas bubbles
V. G. Gasenko, V. E. Nakoryakov, I. R. Shreiber
1330
On the thermoconvective instability of horizontal flows
G. F. Putin
1333

THEORY OF ELASTICITY
Breaking load for a region weakened by a hole in the shape of a lune
N. F. Morozov
1336

GEOPHYSICS
Determination of spatial parameters of reflecting surfaces in the three-dimensional seismic
A. S. Alekseev, Yu. A. Burmakov
1339
A laser interferometer for measurement of the Earth crust strains
V. A. Aleshin, M. N. Dubrov, A. P. Yakovlev
1343
Vertical seismic profiling at the stage of exploring and exploitation of deposits
E. I. Galperin
1347
On the thermodynamic stability of material
M. A. Grinfel'd
1349
CLosed modeling of atmospheric aerosol optical characteristics
K. Ya. Kondrat'ev, N. I. Moskalenko, V. F. Terzi
1354
On the mathematical model of gradual destruction of rocks and their transformation into porous loose media
P. F. Korotkov
1357
Secondary convection and the nature of increased thermal flow in marginal seas of the Pacific Ocean western part
L. A. Savostin, L. I. Lobkovsky
1361

PHYSICS
Phase transition in a system with parametrically excited spin waves
A. S. Bakay, G. G. Sergeeva
1365
On the theory of cholesterol mesophase in the solution of chiral macromolecules
A. Y. Grosberg
1370
 
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