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2021, Volume 8, Issue 1  


MATHEMATICS
On some relations which tie exponential and geometrical record random variables
S. M. Anan'evskij, V. B. Nevzorov
3–11
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
12–28
On generalizations of the optimal choice problem
I. V. Belkov
29–36
Monte-Carlo for solving large linear systems of ordinary differential equations
S. M. Ermakov, M. G. Smilovitskiy
37–48
Power series of several variables with condition of logarithmical convexity
A. V. Zheleznyak
49–62
On the conditions for cycles existence in a second-order discrete-time system with sector-nonlinearity
T. E. Zvyagintseva
63–72
Algebraic solution of a problem of optimal project scheduling in project management
N. Ê. Krivulin, S. A. Gubanov
73–87
Coupled vibrations of viscoelastic three-layer composite plates. 2. Numerical experiments
V. M. Ryabov, B. A. Yartsev, L. V. Parshina
88–100
Limit theorems for generalized perimeters of random inscribed polygons. II
E. N. Simarova
101–110
Linear kalman - Bucy filter with vector autoregressive signal and noise
T. M. Tovstik
111–122

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
123–137
Dynamics modeling and scientific development directions of mechanics and applied mathematics
G. V. Alferov, V. S. Korolev, E. N. Polyakhova, K. V. Kholshevnikov
138–149
Influence of unit cell parameters of tetrachiral mechanical metamaterial on its effective properties
L. R. Akhmetshin, I. Yu. Smolin
150–157
Determination of rotational derivatives of a cylinder with a coaxially mounted disk in an air stream
A. N. Ryabinin, D. V. Kaufman
158–166

ASTRONOMY
Trends and variations in the irregularities of the Earth's rotation
V. M. Tissen, Z. M. Malkin
167–178
Is jacobi theorem valid in the singly averaged restricted circular Three-Body-Problem?
K. V. Kholshevnikov
179–184

CHRONICLE
On the anniversary of Andrei Aleksandrovich Lodkin
185–187
In memoriam of Boris Michailovich Makarov
188–190
In memoriam of Valentin Serafimovich Sabaneev
191–192
Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
 
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