Contents

Doklady Mathematics


Vol. 107, No. 1, 2023


Mathematics

Integrability of a Geodesic Flow on the Intersection of Several Confocal Quadrics

G. V. Belozerov p. 1  abstract

Estimates of Alexandrov’s n-Width of a Compact Set for Some Infinitely Differentiable Periodic Functions

V. N. Belykh p. 4  abstract

Solvability of the Initial-Boundary Value Problem for the Kelvin–Voigt Fluid Motion Model with Variable Density

V. G. Zvyagin and M. V. Turbin p. 9  abstract

Bicompact Schemes for Compressible Navier–Stokes Equations

M. D. Bragin p. 12  abstract

Operator Spectrum Transformation in Hartree–Fock and Kohn–Sham Equations

A. A. Danshin and Corresponding Member of the RAS A. A. Kovalishin p. 17  abstract

On the Concentration of Values of j-Chromatic Numbers of Random Hypergraphs

I. O. Denisov and D. A. Shabanov p. 21  abstract

Refinement of Optimal Control Problem for Practical Implementation of Its Solution

A. I. Diveev p. 28  abstract

Weakly Saturated Subgraphs of Random Graphs

O. Kalinichenko, B. Tayfeh-Rezaie and M. Zhukovskii p. 37  abstract

Nonlocal Problems with Generalized Samarskii–Ionkin Condition for Some Classes of Nonstationary Differential Equations

A. I. Kozhanov p. 40  abstract

To Birman–Krein–Vishik Theory

M. Malamud p. 44  abstract

Thermal Explosion As a Resonance of the Combustion Process

E. V. Radkevich, O. A. Vasilieva, M. I. Sidorov and M. E. Stavrovskii p. 49  abstract

An Inverse Problem for Electrodynamic Equations with Nonlinear Conductivity

Academician of the RAS V. G. Romanov p. 53  abstract

Invariant Volume Forms of Geodesic, Potential, and Dissipative Systems on a Tangent Bundle of a Four-Dimensional Manifold

M. V. Shamolin p. 57  abstract

Identification of Nodal Points of an Elastic Inclusion in Elastic Plane

E. I. Shifrin and A. V. Kaptsov p. 64  abstract

A Generalization of the First Beurling–Malliavin Theorem

I. M. Vasilyev p. 69  abstract

Estimation of the Size of Structural Formations in Ultrasound Imaging through Statistical Analysis of the Echo Signal

T. V. Yakovleva, N. S. Kulberg and D. V. Leonov p. 72  abstract


Computer Science

Suppression of Speckle Noise in Medical Images via Segmentation-Grouping of 3D Objects Using Sparse Contourlet Representation

V. F. Kravchenko, Academician of the RAS Yu. V. Guliaev, V. I. Ponomaryov and G. Aranda Bojorges p. 77  abstract

Mathematical Modeling of Melting Tungsten Exposed to Pulsed Laser Beam

Corresponding Member of the RAS G. G. Lazareva, A. S. Arakcheev and V. A. Popov p. 83  abstract