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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
185–186

MATHEMATICS
Stochastical computation methods and experimental designing
S. M. Ermakov, V. B. Melas
187–199
On the generalized Bessel potential and perfect functional completion
A. L. Dzhabrailov, E. L. Shishkina
200–211
On uniform consistency of Neyman's type nonparametric tests
M. S. Ermakov, D. Yu. Kapatsa
212–225
Separation of the roots of the systems of nonlinear equations. Stochastic approach
S. M. Ermakov, S. N. Leora
226–235
On solution of two-sided vector equation in tropical algebra
N. Krivulin
236–248
On the asymptotic power of a method for testing hypothesis about equality of distributions
V. B. Melas
249–258
$L^p$-norm approximation of h$\ddot{o}$lder functions by harmonic functions on some multidimensional compact sets
D. A. Pavlov
259–269
Fixed point theorem via measure of non-compactness for a new kind of contractions
Y. Touail, A. Jaid, D. El Moutawakil
270–276

MECHANICS
Modeling of nonequilibrium processes behind a shock wave in a mixture of carbon dioxide and argon
S. A. Batalov, E. V. Kustova
277–288
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
289–304
Finite deformations of a bilayer dielectric nonlinear elastic anisotropic tube under an electric field
A. M. Kolesnikov, D. A. Letunova
305–314
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
315–333
Natural vibrations of a cylindrical shell with the end cap. II. Analysis of the spectrum
G. A. Nesterchuk, A. L. Smirnov, S. B. Filippov
334–343
Composite wing vibration coupling control
V. M. Ryabov, B. A. Yartsev
344–356
Numerical modeling of hydrodynamic accidents: erosion of dams and flooding of territories
S. S. Khrapov
357–373

CHRONICLE
On the 60th anniversary of Alexandr Il'ich Nazarov
374–376

CORRIGENDUM
Corrigendum
377
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