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1982, Volume 262, Number 5  


MATHEMATICS
The Hardy classes $H^p$ for $p<1$ and semi-inner functions in the ball
A. B. Aleksandrov
1033
On the existence of associated functions of a second-order operator
S. K. Bloshanskaya
1036
On a method of numerical solution on the first boundary-value problem in the plane for quasilinear elliptic equations
P. N. Vabishchevich, L. M. Degtyarev, V. V. Drozdov
1040
The first initial-boundary value problem for a hyperbolic equation with boundary function in $L_2$
V. M. Govorov
1044
$L_q$-estimates of functions in weighted spaces normed with the help of a given set of mixed derivatives
A. D. Dzhabrailov, R. Sh. Mamedov
1048
A truncated difference scheme for a linear singularly perturbed boundary-value problem
K. V. Emel'yanov
1052
Extension of the symmetry of evolution equations
O. V. Kaptsov
1056
On factoring mappings of products of topological spaces
B. S. Klebanov
1059
On a singular integral operator with a nonunivalent shift without wandering arcs
Yu. D. Latushkin
1064
On choosing a regularization parameter by means of the quasi-optimality and ratio criteria for ill-posed linear algebra problems with a perturbed operator
A. S. Leonov
1069
Sets of $1$-invariance and $1$-invariant subspaces (smooth functions)
N. G. Makarov
1072
Vector algorithms in the Monte-Carlo method for solving systems of second-order elliptic equations and Lame's equation
K. K. Sabelfeld
1076
A problem with initial values for generalized analytic functions depending on time (generalizations of the Cauchy–Kowalewski and Holmgren theorems)
V. Tuchke
1081

THEORY OF ELASTICITY
Toroidal shells. Stability and catastrophes
I. F. Obraztsov, A. S. Vol'mir
1086

GEOPHYSICS
Rossby wave soliton excitation by the internal gravitational waves
Z. L. Kobaladze, A. D. Pataraya, A. G. Hantadze
1089
Modeling of optical characteristics of stratospheric aerosol
K. Ya. Kondrat'ev, N. I. Moskalenko, V. F. Terzi
1092
Solution of direct gravimetric and magnetometric problems for homogeneous polyhedrons
V. N. Strakhov, M. I. Lapina
1095

MATHEMATICAL PHYSICS
On an approach to the solution of the Schrödinger equation
B. V. Alekseev, A. I. Abakumov
1100
Inverse periodic problem for the discrete approximation of the Schrödinger nonlinear equation
N. N. Bogolyubov (Jr.), A. K. Prikarpatskii
1103
On the calculation of dipole fields in conducting layered media
V. V. V'yurkov, Yu. A. Dreizin
1108
Comparison theorems for a class of pseudodifferential equations and their applications
R. V. Goldshtejn, E. I. Shifrin
1113

PHYSICS
Two-dimensional, weakly supercritical structures in the sublimation laser waves
S. I. Anisimov, S. M. Golberg, B. A. Malomed, M. I. Tribelsky
1117
Knocking-out of particles under electron and neutrino scattering by nuclei and the neutral weak currents
A. I. Akhiezer, M. P. Rekalo
1120
Polarization effects in diffraction radiation generator – free electron lasers
A. A. Vertii, V. P. Shestopalov
1124
Estimation of valine molecular structure effect on the tritium $\beta$-spectrum and the determination of neutrino mass
I. G. Kaplan, V. N. Smutnyi, G. V. Smelov
1127
On the non-diffusion mechanism of the magnetic field penetration into a conductor
A. S. Kingsep, L. I. Rudakov, K. V. Chukbar
1131
Temperature of the transition of equilibrium- and metastable lead-based solid solutions to the superconducting state
E. M. Savitskii, Yu. V. Efimov, E. A. Myasnikova
1135
Fine structure of absorption lines in crystals of $\mathrm{ZnP}_2$ of monoclinic modification
N. N. Syrbu, I. G. Stamov, S. I. Radautsan
1138

CRYSTALLOGRAPHY
Geometric theory of grain triple joints
V. N. Pereverzentsev, M. Yu. Shcherban, E. A. Soldatov, N. V. Belov
1143
 
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