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1976, Volume 231, Number 5  


MATHEMATICS
On the relation of the group $\mathrm{SL}(n,Z)$ with the $n$-dimensional modular group
B. N. Apanasov
1033
On some systems of linear differential equations with a small parameter
Yu. Ya. Belov
1037
On the theory of sufficient conditions for optimality
V. I. Blagodatskikh
1041
The inverse problem of scattering theory for a second-order difference equation on the whole axis
G. Sh. Guseinov
1045
On the behavior of the derivatives of a quasi-conformal mapping near curves of discontinuity of the characteristic
V. A. Danilov
1049
On the local convergence of approximation processes for solving operator equations
B. N. Khoromsky, E. P. Zhidkov
1052
The potential method in boundary problems for random walks on a Markov chain
V. S. Korolyuk, V. M. Shurenkov
1056
Asymptotic behavior of the solutions of a nonlinear differential equation
A. V. Kostin, V. M. Evtukhov
1059
On generalized resolvents and resolvent matrices of positive Hermitian operators
M. G. Krein, I. E. Ovcharenko
1063

MECHANICS
On the mechanism of solid sphere crushing by explosion
V. M. Tsvetkov, I. A. Sizov, N. M. Syrnikov
1067

FLUID MECHANICS
The effect of high-molecular compounds, soluble in blood, on hemodynamics
S. S. Grigoryan, M. V. Kameneva, A. A. Shakhnazarov
1070

THEORY OF ELASTICITY
Certain exact solutions to problems of diffraction of elastic waves at a segment
M. Sh. Israilov
1074

GEOPHYSICS
On two-dimensional solitary Rossby waves
V. D. Larichev, G. M. Reznik
1077
Internal waves and fine structure in the ocean
V. V. Navrotskii
1080
On the role of radiation during the motion of meteorites with very high velocities in the atmosphere
I. V. Nemtchinov, T. I. Orlova, V. V. Svettsov, V. V. Shuvalov
1084

MATHEMATICAL PHYSICS
On one method of numerical realization of the Schwinger variational principle
R. F. Fikhmanas, P. Sh. Fridberg
1088
A study of stability in the three body problem on the basis of a hydrodynamical model of the planets
M. M. Khapaev
1092
On the energy dissipation in combined superconductors in a pulsed magnetic field
V. V. Andrianov, V. P. Baev, V. B. Zenkevich, R. G. Mints, A. L. Rakhmanov
1096

PHYSICS
On radiation effects in the electromagnetic wave field
V. N. Baier, A. I. Mil'shtein
1100
The structure of spectra of energy characteristic loss spectra of reflected electrons of $\mathrm{Gd}$, $\mathrm{Tb}$, $\mathrm{Dy}$, $\mathrm{Ho}$
I. B. Borovskii, E. Ya. Komarov
1103
The effect of laser radiation field on the contour of $\mathrm{H}_2\mathrm{O}$ absorption line broadened under the effect of collisions
V. Y. Zuev, V. P. Lopasov, Yu. N. Ponomarev
1106
On the reactions of vibrationally excited nitrogen molecules in nonequilibrium plasmochemical systems
V. D. Rusanov, A. A. Fridman
1109

CRYSTALLOGRAPHY
Crystal structure of synthetic $\mathrm{Na}$, $\mathrm{Fe}$, $\mathrm{Zn}$-orthophosphate, $\mathrm{Na}_{2-x}\mathrm{Zn}_x\mathrm{Fe}_3[\mathrm{PO}_4]_2(\mathrm{OH})_{2-x}$, ($x=0,1$)
O. V. Yakubovich, M. A. Simonov, N. V. Belov
1119
 
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