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

2020, Volume 492


MATHEMATICS
On some properties of superreflexive Besov spaces
A. N. Agadzhanov
5
On stability of continuous extensions of mappings with respect to Nemytskii operator
A. V. Arutyunov, S. E. Zhukovskiy
11
Bicompact finite-difference scheme for Maxwell’s equations in layered media
A. A. Belov, Zh. O. Dombrovskaya
15
Methods for estimating the global maximum point and the integral of a continuous function on a compact set
B. S. Darkhovsky
20
Pólya–Schur inequality and the Green energy of a discrete charge
V. N. Dubinin
24
On stationary nonequilibrium measures for wave equations
T. V. Dudnikova
27
On $L^2$-dissipativity of a linearized explicit finite-difference scheme with quasi-gasdynamic regularization for the barotropic gas dynamics system of equations
A. A. Zlotnik, T. A. Lomonosov
31
Space-likeness of classes of level surfaces on Carnot groups and their metric properties
M. B. Karmanova
38
Accuracy of MUSCL-type schemes in shock wave calculations
O. A. Kovyrkina, V. V. Ostapenko
43
Regular boundary value problems for the Dirac operator
A. S. Makin
49
Antipodal Krein graphs and distance-regular graphs close to them
A. A. Makhnev
54
Rings of integers in number fields and root lattices
V. L. Popov, Yu. G. Zarhin
58
Maps with prescribed Boardman singularities
A. D. Ryabichev
62
Schrödinger quantization of infinite-dimensional Hamiltonian systems with a nonquadratic Hamiltonian function
O. G. Smolyanov, N. N. Shamarov
65
Schur complement and continuous spectrum in a kinetic plasma model
S. A. Stepin
70
Bounded gaps between primes of special form
A. V. Shubin
75

INFORMATICS
Combined monotone bicompact scheme of higher order accuracy in domains of influence of nonstationary shock waves
M. D. Bragin, B. V. Rogov
79
Accelerated gradient sliding for minimizing a sum of functions
D. M. Dvinskikh, S. S. Omelchenko, A. V. Gasnikov, A. I. Turin
85
Asymptotics of the number of threshold functions and the singularity probability of random $\{\pm1\}$-matrices
A. A. Irmatov
89
Problem of acoustic diagnostics of a damaged zone
I. B. Petrov, V. I. Golubev, A. V. Shevchenko
92
On the existence of a global solution of a hyperbolic problem
O. S. Rozanova, E. V. Chizhonkov
97
On some factorizations of semi-metric cones and quality estimates of heuristic metrics in data analysis problems
K. V. Rudakov
101

CONTROL PROCESSES
Minimax-maximin relations for the problem of vector-valued criteria optimization
Yu. A. Komarov, A. B. Kurzhanskii
104
Periodic time-optimal controls on two-step free-nilpotent Lie groups
Yu. L. Sachkov
108


© Steklov Math. Inst. of RAS, 2025