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1982, Volume 264, Number 1  


MATHEMATICS
Investigation of solutions of a differential equation not solved for the leading derivative
R. R. Akhmerov, V. A. Novikov
11
Asymptotics of $\omega^2$-statistics
Yu. V. Borovskikh
14
Generalized Kolmogorov complexity and duality in computational theory
M. S. Burgin
19
On the problem of best approximation in a space of vector-valued functions
N. N. Vakhania, S. A. Chobanyan
24
Balls in the Hamming metric space
A. D. Gvishiani, V. A. Gurvich
27
On the normal form of positional games
V. A. Gurvich
30
Perturbation theory in a Banach space
A. G. Eliseev, S. A. Lomov
34
On Tricomi's problem for a system of equations of parabolic-hyperbolic type
N. Yu. Kapustin
38
On the existence of periodic solutions of some systems of differential equations with a small parameter at the derivative
Yu. A. Konyaev
40
Ill-posed mixed problems of heat conduction
S. I. Temirbulatov
45
Univalent functions and the inverse potential problem
V. G. Cherednichenko
48

AERODYNAMICS
Peculiarities of the relaxation of highly excited molecules, and associated nonequilibrium effects in gas dynamics
N. K. Makashev
52

FLUID MECHANICS
The drag of a plate upon the distributed injection of a polymer solution into a turbulent boundary layer
V. A. Aleksin, A. G. Mikhailu, V. N. Pilipenko
56
Nonlinear waves in processes of two-phase three-component filtration
P. G. Bedrikovetskii, Ya. E. Dorfman
60
Equations of fluid filtration in a creeping porous medium under critical conditions
N. I. Gaidukov
66

GEOPHYSICS
The method and results of seismic sounding of the Tien Shan and Pamirs lithosphere
A. V. Nikolaev, I. A. Sanina
69

MATHEMATICAL PHYSICS
Diffraction at a half-plane of internal waves described by the Klein–Gordon equation
S. A. Gabov
73

PHYSICS
Experimental study and numerical simulation of turbulent mixing in one-dimensional flows
V. A. Andronov, S. M. Bakhrakh, E. E. Meshkov, V. V. Nikiforov, A. V. Pevnitskii, A. I. Tolshmyakov
76
Resonance CARS of organic dye solutions
A. Yu. Bekkiev, A. A. Devyatov, V. V. Fadeev
82
Nonlinear problem of the strong electromagnetic wave diffraction on an open cylinder with plasma
A. G. Boev, V. P. Shestopalov
86
Luminescence parameters in germanium dioxide-doped silica
A. N. Gur'yanov, D. D. Gusovskiĭ, E. M. Dianov, V. M. Mashinsky, V. B. Neustruev, V. F. Khopin
90
Generation of stimulated $\mathrm{Nd}^{3+}$ ion radiation in trigonal centric crystal of $\mathrm{La}_3\mathrm{Ga}_5\mathrm{SiO}_{14}$
A. A. Kaminskii, S. È. Sarkisov, B. V. Mill', G. G. Khodzhabagyan
93
 
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