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

2023, Volume 10, Issue 2


TO THE 300TH ANNIVERSARY OF SPSU
Scientific schools of mathematics, mechanics, astronomy of St Petersburg University: on the 300th anniversary of St. Petersburg State University
E. V. Kustova, A. I. Nazarov
185

MATHEMATICS
Stochastical computation methods and experimental designing
S. M. Ermakov, V. B. Melas
187
On the generalized Bessel potential and perfect functional completion
A. L. Dzhabrailov, E. L. Shishkina
200
On uniform consistency of Neyman's type nonparametric tests
M. S. Ermakov, D. Yu. Kapatsa
212
Separation of the roots of the systems of nonlinear equations. Stochastic approach
S. M. Ermakov, S. N. Leora
226
On solution of two-sided vector equation in tropical algebra
N. Krivulin
236
On the asymptotic power of a method for testing hypothesis about equality of distributions
V. B. Melas
249
$L^p$-norm approximation of h$\ddot{o}$lder functions by harmonic functions on some multidimensional compact sets
D. A. Pavlov
259
Fixed point theorem via measure of non-compactness for a new kind of contractions
Y. Touail, A. Jaid, D. El Moutawakil
270

MECHANICS
Modeling of nonequilibrium processes behind a shock wave in a mixture of carbon dioxide and argon
S. A. Batalov, E. V. Kustova
277
Differential resonant MEMS accelerometer: synchronization characteristics of weakly coupled microbeam sensing elements
D. A. Indeitsev, V. S. Igumnova, A. V. Lukin, I. A. Popov, L. V. Shtukin
289
Finite deformations of a bilayer dielectric nonlinear elastic anisotropic tube under an electric field
A. M. Kolesnikov, D. A. Letunova
305
On opto-thermally excited parametric oscillations of microbeam resonators. I
N. F. Morozov, D. A. Indeitsev, A. V. Lukin, I. A. Popov, L. V. Shtukin
315
Natural vibrations of a cylindrical shell with the end cap. II. Analysis of the spectrum
G. A. Nesterchuk, A. L. Smirnov, S. B. Filippov
334
Composite wing vibration coupling control
V. M. Ryabov, B. A. Yartsev
344
Numerical modeling of hydrodynamic accidents: erosion of dams and flooding of territories
S. S. Khrapov
357

CHRONICLE
On the 60th anniversary of Alexandr Il'ich Nazarov
374

CORRIGENDUM
Corrigendum
377


© Steklov Math. Inst. of RAS, 2026