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1985, Volume 281, Number 1  


MATHEMATICS
Asymptotics of the minimax mean-square risk of statistical estimators of a spectral density in the space $L_2$
R. Yu. Bentkus
11
Integration of nonlinear difference equations by the method of the inverse spectral problem
Yu. M. Berezanskii
16
Synthesis of automata from a finite set of experiments
S. A. Bogomolov
20
Asymptotic stability of self-similar solutions of an equation of heat conduction with a nonlinear sink
V. A. Galaktionov, S. P. Kurdyumov, A. A. Samarskii
23
On the theory of differential analyzers of contact discontinuities and shock waves
A. V. Fedorov, V. M. Fomin, N. N. Yanenko
28
The Hilbert–Rohn method and the removal of singular points of real algebraic curves
E. I. Shustin
33

MECHANICS
On the mechanics of composite materials with buckled structures
S. D. Akbarov, A. N. Guz
37
Localization and structure in gas compression in a regime with peaking
M. A. Demidov, A. P. Mikhailov, V. V. Stepanova
41

GEOPHYSICS
A statistical approach to the investigation of sudden autbursts
A. V. Dokukin, D. A. Denisov
47
Light scattering by a transparent sphere in the soft particle approximation
A. Ya. Perel'man
51

MATHEMATICAL PHYSICS
Some properties of a mathematical model for laser heating of metals in the air
T. S. Akhromeeva, F. V. Bunkin, N. A. Kirichenko, S. P. Kurdyumov, G. G. Malinetskii, A. A. Samarskii
55
The effect of laser beam thermal self-focusing
N. D. Ustinov, A. I. Avrov, E. P. Glotov, V. N. Koterov, A. G. Krasnovskii, V. E. Prigarin, A. M. Soroka, N. V. Cheburkin
60

PHYSICS
Rotational-vibrational resonances in the $\mathrm{XeCl}$ molecule electron transition spectra
N. G. Basov, I. S. Gorban', V. A. Danilychev, N. G. Zubrilin, M. P. Chernomorets
64
On the possibility of channeling of $\gamma$-quanta and neutrons
N. K. Zhevago
67
 
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