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1985, Volume 282, Number 4  


MATHEMATICS
Conditions for the localization of multiple trigonometric Fourier series
R. R. Ashurov
777
Kelvin capillary waves and diffraction by a half plane
S. A. Gabov, A. G. Sveshnikov
780
Transportation polyhedra with a maximum number of $k$-faces
A. P. Krachkovskii, M. K. Kravtsov, V. A. Emelichev
784
Schottky groups and three-dimensional conformal manifolds with trivial automorphism groups
L. D. Potyagailo
789
A method for decomposition of the solution of equations and boundary value problems
G. I. Pshenichnov
792
Integral representations and boundary value problems for a class of systems of higher-order differential equations
N. Radjabov, A. Rasulov
795
Integral representation of functions in a Banach space
A. V. Uglanov
800
On the theory of Tikhonov-Lavrent'ev regularization methods
R. A. Shafiev
804

FLUID MECHANICS
Equations of axially symmetric cavity dynamics in an ideal compressible fluid
L. I. Slepyan
809
The motion of a melting body between two elastic half-spaces
G. G. Chernii
813

THEORY OF ELASTICITY
Waves in a hereditarily elastic Timoshenko beam with singular memory
Yu. V. Suvorova, A. A. Lokshin
819

GEOPHYSICS
Loops of one-dimensional cross sections of time fields of reflected waves in three-dimensional media
È. A. Blyas
824
Uniqueness conditions for the solution of a one-dimensional inverse kinematic problem
V. S. Geiko
827
Complicated regimes in a low-order advection model
G. M. Zhikharev
832

MATHEMATICAL PHYSICS
Connection between the Boltzmann equation and the equations of fluid dynamics
N. B. Maslova
837
Lagrangian analysis of invariant third-order equations of motion in relativistic classical particle mechanics
R. Ya. Matsyuk
841
Investigation of the solution of a nonlinear equation of gravitation theory
E. I. Moiseev, V. A. Sadovnichii
845

PHYSICS
Laser properties of $\alpha$-$\mathrm{Al}_2\mathrm{O}_3\cdot\mathrm{Ti}^{3+}$ single crystals
Kh. S. Bagdasarov, Yu. I. Krasilov, N. T. Kuznetsov, I. I. Kuratev, A. V. Potemkin, A. V. Shestakov, G. M. Zverev, O. G. Siyuchenko, V. A. Zhitnyuk
848
Particle pair production by a photon moving along the axes or the planes in a single crystal
V. N. Baier, V. M. Katkov, V. M. Strakhovenko
851
Current density in the cathode spot of a vacuum arc and the gradients of electron temperature and density
I. I. Beilis, M. P. Zektser, V. I. Rahovskii
854
Investigation of thermonuclear laser plasma in targets with inverted corona
A. V. Bessarab, G. V. Dolgoleva, A. I. Zaretskii, G. A. Kirillov, G. G. Kochemasov, V. M. Murugov, G. F. Nasyrov, V. G. Rogachev, Yu. A. Romanov, A. V. Senik, S. A. Sukharev
857
Angular dependence of the optical surface damage threshold for transparent dielectrics
A. A. Golubtsov, N. F. Pilipetskiĭ, A. N. Sudarkin, A. N. Chudinov, V. V. Shkunov
861
Structure of the stationary zone and the relaxation instability of a detonation wave in heterogeneous media
V. A. Kopotev, N. M. Kuznetsov
865
On the theory of ion scattering and energy losses in matter
V. S. Remizovich, M. I. Ryazanov, V. V. Frolov
870
On the theory of Coulomb excitation of atoms by fast multiply charged ions
G. L. Yudin
874

CRYSTALLOGRAPHY
Crystal structure of $\mathrm{Ba}_{12}(\mathrm{SiO}_3)_6(\mathrm{CO}_3)_5\mathrm{Cl}_2$
A. M. Il'inets, Yu. A. Malinovskii
890
The crystal and molecular structure of (isothiocyanato) [$\mathrm{S}$-methyl-$\mathrm{N}^1$, $\mathrm{N}^4$-bis(salicylidene)isothiosemicabazidato] (pyridine) iron $(\mathrm{III})$ – an axialy nonequivalent iron $(\mathrm{III})$ complex with a tetradentate ligand of unclosed contour
Yu. A. Simonov, M. A. Yampol'skaya, S. G. Shova, V. K. Belsky, N. V. Gerbeleu
895
 
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