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1989, Volume 307, Number 1  


MATHEMATICS
Nonlinear boundary value problems and the existence of stationary states of heating control systems
S. A. Brykalov
11
The Christoffel–Schwarz formula for polyhedral surfaces
I. M. Grudskii
15
Probabilistic inference in prediction systems
E. Ya. Dantsin, V. Ya. Kreinovich
17
Eigenvalues of some classes of integral operators
R. Ya. Doktorskii
21
Spectral synthesis for the multiple differentiation operator
I. F. Krasichkov-Ternovskii, A. B. Shishkin
24
Uniform approximations and zeros in short intervals of the derivatives of the Hardy function
A. A. Lavrik
28
On the Whitehead groups and the Kneser–Tits conjecture for spinor groups
A. P. Monastyrnyi, V. I. Yanchevskii
31
Solvability of the Stefan contact problem
E. V. Radkevich
36
Irreducible representations of the algebra of functions on the quantum group $\mathrm{SU}(n)$ and Schubert cells
Ya. S. Soibel'man
41
On the structure of the domain of degeneration of a system of quasilinear parabolic equations
N. V. Khusnutdinova
45
Generalized braid groups and local $r$-matrix systems
I. V. Cherednik
49

CYBERNETICS AND THE REGULATION THEORY
Two-level method of optimal adaptive control of discrete-continuous production processes of a perishable multiproduct mix
V. V. Kafarov, L. G. Koshelev, V. P. Meshalkin
54
Absolute (with respect to nonlinearity and delay) stability in the mean square of stochastic differential-difference systems of automatic control
D. G. Korenevskij
58

MECHANICS
Penetration of a slender body with a star-shaped cross-section into an elastic half-space
N. A. Ostapenko
62

GEOPHYSICS
Method and software realization of seismic phenomena automatic detection and localization by single three-component station in real time
O. K. Kedrov, A. I. Nemytov, N. N. Kalinina, O. P. Villemson
67
A new type of creeping waves propagating around rough sphere
Yu. P. Lysanov, Yu. Yu. Popov
73
On the three stages of the Earth's tectonic evolution
O. G. Sorokhtin, S. A. Ushakov
77

MATHEMATICAL PHYSICS
Diffraction of $H$-polarized electromagnetic waves by a cylinder with a metallic covering
V. V. Panasyuk, M. P. Savruk, Z. T. Nazarchuk, A. Ya. Teterko
84
Large-scale heat transfer between ocean and atmosphere during annual cycle
A. E. Roshdestvensky, S. S. Lappo
88

PHYSICS
Control of millimeter- and submillimeter wave radiation via its interaction with semiconductor plasma
A. D. Antonyuk, A. G. Dyachenko, R. I. Ekzhanov, N. V. Karlov, I. N. Sisakyan, V. A. Skorik, A. B. Shvartsburg, A.V. Shepelev
92
Quadratic scattering of electron on monophoton states
V. B. Braginskii, S. P. Vyatchanin
96
On a possible mechanism of cold nuclear fusion
P. I. Golubnichiĭ, V. A. Kurakin, A. D. Filonenko, V. A. Tsarev, A. A. Tsarik
99
Microplasma instability in alternating electric field
A. M. Namayunas, Yu. K. Pozhela, A. V. Tamashyavichyus
102

CRYSTALLOGRAPHY
Crystal structure of a new natural sodium titanosilicate
E. V. Sokolova, R. K. Rastsvetaeva, V. I. Andrianov, Yu. K. Egorov-Tismenko, Yu. P. Menshikov
114
 
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