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

2020, Volume 494


MATHEMATICS
Uniqueness of solutions to initial boundary value problems for parabolic systems in plane bounded domains with nonsmooth lateral boundaries
E. A. Baderko, M. F. Cherepova
5
Combined multidimensional bicompact scheme with higher order accuracy in domains of influence of nonstationary shock waves
M. D. Bragin, B. V. Rogov
9
Three-dimensional analogues of the Heath-Brown and Selberg identities
V. A. Bykovskii, A. V. Ustinov
14
Two-stage method for solving systems of nonlinear equations and its applications to the inverse atmospheric sounding problem
V. V. Vasin, G. G. Skorik
17
Composition operators on weighted Sobolev spaces and the theory of $\mathscr{Q}_p$-homeomorphisms
S. K. Vodopyanov
21
An almost exact linear algorithm for transformation of chain-cycle graphs with optimization of the sum of operation costs
K. Yu. Gorbunov, V. A. Lyubetskii
26
On the chromatic numbers of random hypergraphs
Yu. A. Demidovich, D. A. Shabanov
30
On the convergence of probabilities of first-order sentences for recursive random graph models
M. E. Zhukovskii, Yu. Malyshkin
35
Numerical solution of scalar diffraction problems in integral statements on spectra of integral operators
A. A. Kashirin, S. I. Smagin
38
Kirchhoff index for circulant graphs and its asymptotics
A. D. Mednykh, I. A. Mednykh
43
Representations of $\zeta(2n+1)$ and related numbers in the form of definite integrals and rapidly convergent series
K. M. Mirzoev, T. A. Safonova
48
Absence of global periodic solutions for a Schrödinger-type nonlinear evolution equation
Sh. M. Nasibov
53
On alternating quasipositive links
S. Yu. Orevkov
56
Bilinear weighted inequalities with two-dimensional operators
V. D. Stepanov, G. È. Shambilova
60
Adaptive mesh refinement simulations of gas dynamic flows on hybrid meshes
S. A. Sukov
64
Arithmetic properties of Euler-type series with a Liouvillian polyadic parameter
V. G. Chirskii
68

INFORMATICS
3D filtering of images corrupted by additive-multiplicative noise
V. F. Kravchenko, V. I. Ponomarev, V. I. Pustovoĭt, A. Palacios-Enriquez
71
Double potential method for modeling the internal flow of a viscous incompressible liquid
S. V. Polyakov, T. A. Kudryashova, N. I. Tarasov
76

CONTROL PROCESSES
Forecasting a cyclical downturn (recession) in the US economy using a mathematical model of Hyman Minsky's theory of financial instability
A. A. Akaev, V. A. Sadovnichii
80
Explicit solutions for a series of optimization problems with 2-dimensional control via convex trigonometry
A. A. Ardentov, L. V. Lokutsievskiy, Yu. L. Sachkov
86
Deviation of an object with a striking device from a visibility area of an observer in $\mathbb{R}^3$
V. I. Berdyshev
93
An approach to the stabilization problem of a parametrically uncertain linear nonstationary system
A. V. Il'in, P. A. Krylov, A. S. Fursov
97
New cases of homogeneous integrable systems with dissipation on tangent bundles of two-dimensional manifolds
M. V. Shamolin
105


© Steklov Math. Inst. of RAS, 2025