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JOURNALS // Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy // Archive

2021, Volume 8, Issue 1


MATHEMATICS
On some relations which tie exponential and geometrical record random variables
S. M. Anan'evskij, V. B. Nevzorov
3
Generalized normal forms of the systems of ordinary differential equations with a quasi-homogeneous polynomial $(\alpha x_1^2+x_2, x_1 x_2)$ in the unperturbed part
V. V. Basov, A. V. Zefirov
12
On generalizations of the optimal choice problem
I. V. Belkov
29
Monte-Carlo for solving large linear systems of ordinary differential equations
S. M. Ermakov, M. G. Smilovitskiy
37
Power series of several variables with condition of logarithmical convexity
A. V. Zheleznyak
49
On the conditions for cycles existence in a second-order discrete-time system with sector-nonlinearity
T. E. Zvyagintseva
63
Algebraic solution of a problem of optimal project scheduling in project management
N. Ê. Krivulin, S. A. Gubanov
73
Coupled vibrations of viscoelastic three-layer composite plates. 2. Numerical experiments
V. M. Ryabov, B. A. Yartsev, L. V. Parshina
88
Limit theorems for generalized perimeters of random inscribed polygons. II
E. N. Simarova
101
Linear kalman - Bucy filter with vector autoregressive signal and noise
T. M. Tovstik
111

MECHANICS
Averaging technique in the problem of satellite attitude stabilization in indirect position in the orbital reference frame with the use of Lorentz torque
A. Yu. Aleksandrov, N. R. Andriyanova, A. A. Tikhonov
123
Dynamics modeling and scientific development directions of mechanics and applied mathematics
G. V. Alferov, V. S. Korolev, E. N. Polyakhova, K. V. Kholshevnikov
138
Influence of unit cell parameters of tetrachiral mechanical metamaterial on its effective properties
L. R. Akhmetshin, I. Yu. Smolin
150
Determination of rotational derivatives of a cylinder with a coaxially mounted disk in an air stream
A. N. Ryabinin, D. V. Kaufman
158

ASTRONOMY
Trends and variations in the irregularities of the Earth's rotation
V. M. Tissen, Z. M. Malkin
167
Is jacobi theorem valid in the singly averaged restricted circular Three-Body-Problem?
K. V. Kholshevnikov
179

CHRONICLE
On the anniversary of Andrei Aleksandrovich Lodkin
185
In memoriam of Boris Michailovich Makarov
188
In memoriam of Valentin Serafimovich Sabaneev
191


© Steklov Math. Inst. of RAS, 2026