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JOURNALS // Doklady Akademii Nauk // Archive

1989, Volume 304, Number 2


MATHEMATICS
Equilateral triangulations of Riemann surfaces, and curves over algebraic number fields
V. A. Voevodsky, G. B. Shabat
265
The necessity of Kovalevskaya conditions, and their generalizations
Yu. A. Dubinskii
268
Solutions of matrix polynomials of one-sided equations
P. S. Kazimirskii, V. P. Shchedrik
271
Algebras of singular integral operators with discrete groups of shifts in the spaces $L_p$
Yu. I. Karlovich
274
On the mean value formula for eigenfunctions and associated functions of the Schrödinger operator
A. S. Makin
280
On a nonlinear Schrödinger equation with a dissipative term
Sh. M. Nasibov
285
The oscillation property of the operator $D(D^2+1^2)\cdots (D^2+n^2)$ and its applications
Nguyen Thi Thien Hoa
289
The maximum principle in a nonsmooth minimax problem of optimal control
M. S. Nikol'skii
294
Optimal projection estimates for a regression function of unknown smoothness
B. T. Polyak, A. B. Tsybakov
297
Manifolds of solutions of a class of evolution and dynamic equations
G. A. Sviridyuk
301
The ray transform of symmetric tensor fields
V. A. Sharafutdinov
305

CYBERNETICS AND THE REGULATION THEORY
Control problems and inverse problems
Yu. E. Anikonov, B. A. Bubnov
309

FLUID MECHANICS
On the problem of the oscillations of a free boundary of an ideal rotating fluid with a change in the angular velocity
A. Fraguela Collar
313

GEOPHYSICS
On the study of the dynamic properties of cracked bodies
V. A. Babeshko
318

MATHEMATICAL PHYSICS
Approximate solution of the Ambartsumyan functional equation
R. H. Aminov, B. G. Gabdulkhaev
322
The translation-invariant interaction of a quantum particle with a Fermi gas
A. Sh. Domnenkov, V. A. Malyshev
326
Post-Galileian equilibrium Bogolyubov chains
Yu. N. Orlov, I. P. Pavlotsky
329
New systems and conservation laws of equations for elastic waves
W. I. Fushchych, A. G. Nikitin
333

PHYSICS
Radiation of accelerated electrons in oriented crystals of great thickness
V. A. Bazylev, V. V. Goloviznin
336
Brownian rotation motion of polar macromolecules in solutions
N. V. Brilliantov, A. I. Kvyatchevich, Yu. M. Petrusevich, O. P. Revokatov
340
A $R$-function method in the problems of identification of the scattering object shape parameters from the date of remote radiosensing
V. F. Kravchenko, V. L. Rvachev, Yu. V. Shkvarko
345

CRYSTALLOGRAPHY
Film and interface structure of $\mathrm{GaAs}$- and $\mathrm{InAs}$-based multilayered systems
A. K. Gutakovskii, Yu. O. Kanter, V. Yu. Karasev, N. A. Kiselev, S. M. Pintus, S. V. Rubanov, S. I. Stenin, A. A. Fedorov
355


© Steklov Math. Inst. of RAS, 2026