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

2021, Volume 8, Issue 2


IN MEMORIAM OF P. E. TOVSTIK
In memoriam of Pyotr Evgenyevich Tovstik
197
On non-axisymmetric buckling modes of inhomogeneous circular plates
S. M. Bauer, E. B. Voronkova
204
Natural frequencies of an inhomogeneous square thin plate
G. P. Vasiliev, A. L. Smirnov
212
Studying free hight-frequency vibrations of an inhomogeneous nanorod based on the nonlocal theory of elasticity
G. I. Mikhasev
220
Nonlinear dynamics of mode-localized MEMS accelerometer with two electrostatically coupled microbeam sensing elements
N. F. Morozov, D. A. Indeitsev, V. S. Igumnova, A. V. Lukin, I. A. Popov, L. V. Shtukin
233
Buckling of a clamped supported cylindrical shell
G. A. Nesterchuk
247
The inverse problem of stabilization of a spherical pendulum in a given position under oblique vibration.
A. G. Petrov
255
On the correspondence of theoretical models of longitudinal vibrations of a rod with experimental data
A. L. Popov, S. A. Sadovskiy
270
Buckling of the cylindrical shell joint with annular plates under external pressure
S. B. Filippov
282

MATHEMATICS
Different types of stable periodic points of diffeomorphism of a plane with a homoclinic orbit
E. V. Vasil'eva
295
Algebraic bayesian networks: checking backbone connectivity.
A. G. Maksimov, A. L. Tulupyev
305
Dynamics of one continual sociological model
S. Yu. Pilyugin, D. Z. Sabirova
317
On the regions containing all the zeros of polynomials and related analytic functions
N. A. Rather, I. Dar, A. Iqbal
331
Fixed point theorems for new contractions with application in dynamic programming
Y. Touail, D. El Moutawakil
338

MECHANICS
Determination of the transition curve between flow modes during filtering an acid through a chemically active porous medium.
R. A. Plavnik, I. N. Zavialov, A. V. Konyukhov, D. S. Vetoshkin
349

ASTRONOMY
The space of Keplerian orbits and a family of its quotient spaces
K. V. Kholshevnikov, D. V. Milanov, A. S. Shchepalova
359

CHRONICLE
On the 80th anniversary of Leon Aganesovich Petrosyan
370
In memoriam of Viktor Abramovich Zalgaller (1920-2020)
373
In memoriam of Sergey Konstantinovich Matveev (1938-2020)
377
In memoriam of Fedor Fedorovich Rodyukov (1936-2020)
379


© Steklov Math. Inst. of RAS, 2026