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JOURNALS // Chebyshevskii Sbornik // Archive

2024, Volume 25, Issue 5


Ill-posedness of the Tricomi problem for a multidimensional mixed hyperbolic-parabolic equation
S. A. Aldashev
5
$\sigma_{\Omega}$-foliated Fitting classes of multioperator $T$-groups and its satellites
E. N. Bazhanova
16
On the degree conjugacy of words in groups with small reduction
V. N. Bezverkhnii, N. B. Bezverhnaya
32
On the property of antinormality of two-born subgroups of a free group
N. B. Bezverhnaya
45
On the zeros of mean-periodic functions with respect to the Bessel convolution
Vit. V. Volchkov, G. V. Krasnoschekikh
57
On the theory of two-dimensional singular integral operators and its applications to boundary value problems for elliptic systems of equations
G. Jangibekov, G. M. Koziev
74
Periodic control of biocommunity and circle homeomorphisms
A. N. Kirillov
90
On the group of form classes of large degree
S. A. Meshaik
113
Numerical method for solving Fredholm and Volterra integral equations using artificial neural networks
T. D. Nguyen, I. Z. Akhmetov, A. F. Galimyanov
126
On rational approximations of a singular integral on a segment by Abel — Poisson sums
P. G. Potseiko
140
Complete classification of two classes of two-dimensional PI-algebras over any basic field
I. Rakhimov, H. Jamil, R. N. Mohd~Nasir
164
The best joint approximation of some classes of functions in the Bergman space $B_{2}$
Kh. M. Khuromonov
183
On some analogue of the Gelfond problem for Zeckendorf representations
A. V. Shutov
195
Variational problems in the works of academician O. I. Somov. Brachistochrone and tautochrone
A. O. Yulina
216

BRIEF MESSAGE
Topological foundations of three-dimensional symmetry breaking dynamics for both Abelian and non-abelian Higgs models
E. Almukhur, A. Adaileh, T. Sasa, A. Al-Nana
228
On covering sets of a special type by geometric progressions with a certain restrictions
R. M. Ashrapov, P. S. Dergach
237
On the dimension of the Lie group of automorphisms of a paracontact metric manifold
V. I. Pan'zhenskii, O. P. Surina
244
On question about semi-modularity of lattice of subgroups of finite groups
I. A. Tsybin, G. N. Titov
254

HISTORY OF MATHEMATICS AND APPLICATIONS
Size effects of micropolar medium in problem on the cylindrical body torsion
A. V. Romanov
262
Pafnuty Lvovich Chebyshev – academician of the Imperial St. Petersburg Academy of Sciences (to the 300-th anniversary of the Russian Academy of Sciences and St. Petersburg State University)
G. V. Pavilaynen, A. A. Tikhonov, M. P. Yushkov
277
The effect of initial stresses on main characteristics of elastic waves in anisotropic media
M. Yu. Sokolova, D. V. Khristich, D. V. Pravednikov
292


© Steklov Math. Inst. of RAS, 2026