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2024, Volume 11, Issue 2  


TO THE 300TH ANNIVERSARY OF SPSU
Review of the research on the qualitative theory of differential equations at St. Petersburg University. I. Stable periodic points of diffeomorphisms with homoclinic points, systems with weakly hyperbolic invariant sets
N. A. Begun, E. V. Vasil'eva, T. E. Zvyagintseva, Yu. A. Il'in
211–227
Astronomical researches at the mathematical faculty of the St. Petersburg University. I
M. S. Prokopjeva, H. A. Krayani, V. B. Il'in
228–258
Rigid body dynamics from the Euler equations to the spacecraft attitude control in the works of scientists from Saint Petersburg State University. Part 2
A. A. Tikhonov
259–302

MATHEMATICS
Solution of the local boundary problem for nonlinear stationary system with account of the computer systems verification
A. N. Kvitko, N. N. Litvinov
303–315
Determination of breakpoints and the magnitude of the jump of the original according to its Laplace image
A. V. Lebedeva, V. M. Ryabov
316–323
Extremal problems of Turán-type involving the location of all zeros of a class of rational functions
M. Yu. Mir, Sh. L. Wali, W. M. Shah
324–331

MECHANICS
Regression models for calculating state-to-state coefficients of the rate of vibrational energy exchanges
A. A. Isakov, V. I. Gorikhovskii, M. Yu. Melnik
332–346
Integrability by quadratures of the problem of rolling motion of a heavy homogeneous ball on a surface of revolution of the second order
A. S. Kuleshov, A. A. Shishkov
347–353
Gyroscopically coupled in-plane and transverse vibrations of an annular free-clamped microplate
N. F. Morozov, A. V. Lukin, I. A. Popov
354–370
Dynamics of a double pendulum with viscous friction in the joints. I. Mathematical model of motion and construction of the regime diagram
A. S. Smirnov, I. A. Kravchinskiy
371–384

ASTRONOMY
On the approximation of the field of attraction of a rigid body by the field of attraction of four material points of the same mass
A. A. Burov, E. A. Nikonova, V. I. Nikonov
385–394

CHRONICLE
In memoriam of Lev Meerovich Bregman (1941–2023)
395–396
Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
 
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