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1989, Volume 308, Number 3  


MATHEMATICS
Reductive subalgebras of semisimple real Lie algebras
B. P. Komrakov
521
The Markov moment problem on a minimally possible segment
V. I. Korobov, G. M. Sklyar
525
Exponential integrability of the trigonometric conjugation operator
M. M. Lekishvili
528
A criterion for the solvability of the ill-posed Cauchy problem for elliptic systems
N. N. Tarkhanov
531
Divergence of multiple Fourier series with respect to bases
G. E. Tkebuchava
535
On co-approximation of monotone functions
I. A. Shevchuk
537
The fifth invariant of quadratic forms
M. Szyjewski
542

CYBERNETICS AND THE REGULATION THEORY
Prevention of the above-normal pollution of the environment under condition of growing industrial production
V. L. Alekseenko
546
The problem of optimizing fish catch: forecast uncertainty and the nonlinearity of the dependence of the catch on the fish population
I. I. Vorovich, Yu. A. Dombrovskii, N. I. Obushchenko, F. A. Surkov
548
Recognition of chords by a model of intervallic hearing
A. S. Tanguiane
552

MECHANICS
Synthesis of the control of mechanical systems by the goal potential method
N. V. Dunskaya, E. S. Pyatnitskii
557
A method of solving plane contact problems with friction and adhesion
V. I. Mossakovskii, A. G. Biskup, L. V. Mossakovskaya
561

THEORY OF ELASTICITY
The concepts of a process image and of five-dimensional isotropy of material properties under finite deformations
G. L. Brovko
565
On the problem of the fracture of bimetallic materials with a boundary crack
I. F. Obraztsov, V. D. Kuliev, I. A. Razumovskii, N. E. Farzalibekov
570

GEOPHYSICS
On the simulation of gas hydrate dissociation
È. A. Bondarev, A. M. Maksimov, G. G. Tsypkin
575
Hydromagnetic diagnostics and geoelectrical sounding on the basis of a single observatory
A. V. Guglielmi, M. B. Gokhberg, V. F. Ruban
578
Sea ice deformation as a source of surface air aerosol from the data of the arctic expedition aboard the nuclear icebreaker SIBIR (May–June 1987)
A. P. Nagurnyi
582
On the nature of electric cells in thunder-cloud
V. Yu. Trahtengerts
584

MATHEMATICAL PHYSICS
Asymptotic properties of solutions of a generalized equation of Emden–Fowler type
M. Aripov, D. S. Echmatov
587
Determination of the liquid phase surface shape under fusion welding in different spatial positions
B. M. Berezovskii, I. V. Suzdalev, A. V. Druzhinin
591

PHYSICS
Surface-inhanced Raman scattering and the adsorption properties of some biomolecules
O. A. Aktsipetrov, E. D. Mishina
596
Injection instability in semiconductor structures with $p$$n$ junctions
B. G. Idlis, O. D. Knab, V. D. Frolov
601
Stability criterion for the ultimate strain zone at plastic deformation of metals and alloys
Yu. I. Krasnoshchekov, V. S. Ivanova, S. A. Kunavin
605
Nonstationary self-focusing at the propagation of $\lambda_I=2{,}8\mu$ radiation through damp atmosphere
V. A. Levin, A. A. Sorokin, A. M. Starik
610
 
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