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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive

2021, Volume 500


MATHEMATICS
Numerical study of the Zaremba problem
S. D. Algazin
5
On Gaussian transition operators
G. A. Alekseev, K. A. Afonin, V. I. Bogachev
10
Axiomatic definition of small cancellation rings
A. S. Atkarskaya, A. Ya. Kanel-Belov, E. B. Plotkin, E. Rips
16
Periodic ultradiscrete plane transformations
V. A. Bykovskii
23
On some modifications of Arnold's cat map
S. D. Glyzin, A. Yu. Kolesov
26
On the 4-spectrum of first-order properties of random graphs
M. E. Zhukovskii, A. D. Matushkin, Yu. N. Yarovikov
31
Comparison theorems for elliptic inequalities with lower-order derivatives that take into account the geometry of the domain
A. A. Kon'kov
35
Mathematical modeling of 3D dynamic processes near a fracture using the Schoenberg fracture model
I. B. Petrov, P. V. Stognii, N. I. Khokhlov
40
On the periodicity problem for the continued fraction expansion of elements of hyperelliptic fields with fundamental $S$-units of degree at most 11
V. P. Platonov, M. M. Petrunin, Yu. N. Shteinikov
45
Group structures on algebraic varieties
V. L. Popov
52
Self-affine tiling of polyhedra
V. Yu. Protasov, T. I. Zaitseva
55
Correct solvability and exponential stability for solutions of Volterra integro-differential equations
N. A. Rautian
62
Existence and stability of equilibrium solutions of the Vlasov equation with a modified gravitational potential
T. V. Sal'nikova
67
The second boundary value problem for differential-difference equations
A. L. Skubachevskii, N. O. Ivanov
74
New cases of integrability of systems of geodesics and potential and dissipative systems on tangent bundles of finite-dimensional manifolds
M. V. Shamolin
78
Adaptive Gauss–Newton method for solving systems of nonlinear equations
N. E. Yudin
87

INFORMATICS
Application of the multiscale approach to simulation of air sorbent filtration
S. V. Polyakov, T. A. Kudryashova, N. I. Tarasov
92

CONTROL PROCESSES
Sub-Riemannian Engel sphere
Yu. L. Sachkov, A. Yu. Popov
97
Attraction for mechanical systems with friction
I. A. Finogenko
102
Anisotropy-based approach to communication tuning for a time-varying sensor network system
A. V. Yurchenkov, A. Yu. Kustov
107


© Steklov Math. Inst. of RAS, 2026