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1984, Volume 278, Number 4  


MATHEMATICS
The generalized principle of localization for an $N$-multiple Fourier integral
A. I. Bastis
777
Ergodic properties of discretizations of dynamic systems
M. L. Blank
779
A homogeneous measure exists on any compactum in $\mathbf{R}^n$
A. L. Volberg, S. V. Konyagin
783
Necessary and sufficient conditions for uniextremality in nonconvex problems of mathematical programming
I. I. Gasanov, A. D. Rikun
786
An architectural matrix of approximate viscosity
Yu. M. Davydov
789
Mixing conditions for random processes with values in Hilbert spaces
I. G. Zhurbenko
793
A boundary value problem or the steady-state Schrödinger equation with a singular potential
V. V. Katrakhov, S. M. Sitnik
797
Strong regularization and some of its applications
Yu. A. Kriksin
800
Non-almost periodicity solutions of S. L. Sobolev's equation
A. A. Lyashenko
803
Weak convergence of functionals of random walks
M. V. Petrova
806
The classical solution of the elliptic Bellman equation
M. V. Safonov
810
The elliptic problems of A. V. Bitsadze and A. A. Samarskii
A. L. Skubachevskii
813
Solvability and application of a Carleman integral equation
L. I. Chibrikova
817
Conditions for unicellularity of weighted shift operators
D. V. Yakubovich
821

CYBERNETICS AND THE REGULATION THEORY
Construction of nonlinear control laws from Lyapunov functions
S. A. Grishin, P. D. Krut'ko, Y. P. Popov
825

FLUID MECHANICS
Stability of Taylor vortices
K. I. Babenko, A. L. Afendikov
828

GEOPHYSICS
Temporal variations of deformations and seismic wave velocities in the earth crust of seismically active regions
L. A. Morozova, M. V. Nevsky
834

ASTRONOMY
Method for spectral classification of faint stars by the length of their ultraviolet spectra
G. A. Gurzadyan
839

MATHEMATICAL PHYSICS
Mathematical simulation of the processes of the surface evaporation under laser radiation
V. I. Mazhukin, G. A. Pestryakova
843
Some exact solutions of the multidimensional nonlinear Euler–Lagrange equation
W. I. Fushchych, N. I. Serov
847

PHYSICS
Nonlinear scattering of $\mathrm{CO}_2$ laser radiation in crystalline powder
G. B. Altshuler, V. S. Ermolaev, A. A. Manenkov, B. A. Raikhman
852
On a possibility of the creation of labile molecule lasers
G. V. Kolbychev, P. D. Kolbycheva
857
Detonation in a relaxing gas
N. M. Kuznetsov, V. A. Kopotev
861
The “ab initio” calculation of the thermodynamic properties of sodium vapor
A. M. Semenov
866

CRYSTALLOGRAPHY
A generalization of the Kolmogorov model for crystallization in a bounded space with an arbitrary region of nucleation
V. Z. Belen'kii
874
 
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