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1986, Volume 286, Number 6  


MATHEMATICS
A class of lacunary orthonormal systems
T. O. Balykbaev
1289
Some integral equations of the first kind
A. V. Bitsadze
1292
Topological isotopies of algebraic curves
A. I. Degtyarev
1295
Linearization of certain nonlinear evolution equations with the linear part having a continuous spectrum
M. Yu. Denisov
1299
Multiplicity of eigenvalues of the Neumann problem
N. S. Nadirashvili
1303
Numbers representable by the sum of two squares
V. A. Plaksin
1305
Spectral multiplicity of analytic Toeplitz operators
B. M. Solomyak
1308
Quasiconformal mappings of order $p$
G. S. Shefel'
1312
An extension of a control problem and a theorem on the existence of optimal control in processes described by nonlinear elliptic equations
M. A. Yagubov
1316

MECHANICS
Correlation of the relaxation and energy characteristics of glassy polymer fracture at high loading rates
A. S. Eremenko, S. A. Novikov, V. A. Sinitsyn
1320

FLUID MECHANICS
Dispersion equation for a plane capillary-gravity wave at the free surface of a viscous incompressible liquid
P. N. Antonyuk
1324
Phenomenological derivation of the equations for percolation of a compressible fluid in a nondeformable porous medium
V. N. Belonenko, A. I. Gritsenko, O. Yu. Dinariev, A. B. Mosolov
1328
Nonlinear waves at the surface of a liquid layer with a constant vorticity
V. I. Shrira
1332

THEORY OF ELASTICITY
Tensioning and twisting of spiral longitudinal systems
È. A. Shakhnazaryan
1337

ASTRONOMY
On the size distribution of asteroids and planet satellites
V. A. Bronshten
1341

GEOPHYSICS
The structure of Galerkin approximation for Reyleigh–Benard convection
A. B. Glukhovsky
1344
Investigation of trace element content in sea aerosols and surface microlayer of sea water
V. D. Korzh
1348
Tidal anomalies and heat flow in Western and Central Europe
P. Melkhior, A. M. Sadovskii
1351
Paleomagnetism and Pre-Gondwanian continental drift
A. S. Monin, L. P. Zonenshain, A. M. Gorodnitskii, V. G. Kaz'min, M. V. Kononov, E. A. Nazarova
1355

MATHEMATICAL PHYSICS
Rigorous solution of a diffraction problem
L. A. Vainshtein, V. I. Wolman
1360
Stationary Whitham waves and their dispersion relation
A. A. Zaitsev
1364
Stability of the solution of one-dimensional inverse problems of elasticity
V. G. Yakhno
1369

PHYSICS
Structural phase transitions in weakly charged polyelectrolyte solutions
V. Yu. Boryu, I. Ya. Erukhimovich
1373
Optical theorem for scattering in the presence of an interphase
A. V. Vinogradov, N. N. Zorev
1377
Exact Hamiltonian for a quantum nonlinear oscillator with linear decay of arbitrary value
S. P. Vyatchanin
1379
On the theory of $\mathbf{H}$-odd linear dichroism of exciton – magnon transitions in antiferrodielectrics
V. M. Loktev
1382
Autocorrelation function of the surface roughness for the one-dimensional model of thin film
V. I. Trofimov, V. Z. Belen'kii
1386
 
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