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1978, Volume 240, Number 5  


MATHEMATICS
Quasi-linear functionals and a test for checking distribution types
Yu. N. Blagoveshchenskii
1017
Selberg's trace formula and non-euclidean vibrations of an infinite membrane
A. B. Venkov
1021
On the representation of analytic functions by Laguerre series
P. K. Rusev
1025
On the investigation of stability in systems of ordinary differential equations with almost-periodic coefficients
M. M. Khapaev, O. V. Anashkin
1028
On the question of defining the density of a body from a given potential
V. G. Cherednichenko
1032
The Wiman–Valiron method for entire functions given by Dirichlet series
M. N. Sheremeta
1036

AERODYNAMICS
Unsteady hypersonic gas flow past a thin finite-span wing
V. I. Bogatko, A. A. Grib, G. A. Kolton
1040
On a property of the linearized boundary layer equations with self- induced pressure
V. I. Zhuk, O. S. Ryzhov
1042
On the nonstationary boundary layer with self-induced pressure near a vibrating wall in a supersonic flow
E. D. Terent'ev
1046

FLUID MECHANICS
Three-dimensional flow of a viscous fluid with a free surface
I. M. Vasenin, A. P. Nefedov, O. B. Sidonskii
1050
Convection energy of a viscous fluid
G. S. Golitsyn
1054
The functional smoothing method in turbulence problems
M. A. Goldshtik, V. N. Shtern
1058

GEOPHYSICS
A method of theoretical seismogram calculation for the complex-constructed models of media
A. S. Alekseev, B. G. Mikhailenko
1062
On the fine thermal structure of the ocean surface layer
A. V. Solov'ev, N. V. Vershinskii
1066
The effect of astenosphere inhomogeneity on the convection in the mantle and on the isostasy of lithosphere
È. È. Fotiadi, A. V. Ladynin, S. A. Tychkov
1070
On the seismic anisotropy of the earth crust and upper mantle under the oceans
E. M. Chesnokov, M. Baumbakh
1074

MATHEMATICAL PHYSICS
The Liouville quantum equation for a nonclosed system
V. F. Los'
1078

PHYSICS
Stochastic instability of nonlinear quantum oscillator
G. P. Berman, G. M. Zaslavsky
1082
Diffusion of resonance particles in ambipolar plasma traps
D. D. Ryutov, G. V. Stupakov
1086

CRYSTALLOGRAPHY
Crystal structure of synthetic cadmium ortho-$3$-borate, $\mathrm{Cd}_4(\mathrm{BO}_3)_2(\mathrm{OH})_2$
E. V. Kazanskaya, Yu. K. Egorov-Tismenko, M. A. Simonov
1100
Features of the structure of natural polycrystalline diamonds
Yu. A. Klyuev, V. I. Nepsha, N. I. Epishina, V. I. Smirnov, S. P. Plotnikova, B. I. Prokopchuk, F. Kaminsky
1104
Effect of excess silicon on the formation of $\alpha$-$\mathrm{Si}_3\mathrm{N}_4$ in the ionic implantation of nitrogen
P. V. Pavlov
1108
 
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