Contents

Doklady Mathematics

Vol. 109, No. 3, 2024

MATHEMATICS

AI Methods in Control of Personalized General Education

Academician of the RAS A. L. Semenov, A. E. Abylkassymova, and T. A. Rudchenko p. 191  abstract

Bernstein–Riemann Interpolation Formula for Arbitrary Continuous Functions on an Interval

A. N. Agadzhanov p. 197  abstract

On Quantitative Assessment of Chirality: Right- and Left-Handed Geometric Objects

Yu. A. Kriksin, and Corresponding Member of the RAS V. F. Tishkin p. 206  abstract

Applying A.G. Postnikov’s Formula in Algebraic Number Fields

Hafez Al-Assad p. 213  abstract

The Vandermonde Matrix in the Commutative Case

A. I. Perov, and I. D. Kostrub p. 216  abstract

Sub-Lorentzian Geometry on the Martinet Distribution

Yu. L. Sachkov p. 221  abstract

Multidimensional Fourier Interpolation and Fast Fourier Transforms

Yu. A. Basalov, N. N. Dobrovolsky, and V. N. Chubarikov p. 224  abstract

Asymptotics for Eigenvalues of Schrödinger Operator with Small Translation and Dirichlet Condition

D. I. Borisov, and D. M. Polyakov p. 227  abstract

Upwind Bicompact Schemes for Hyperbolic Conservation Laws

M. D. Bragin p. 232  abstract

Mathematical Model of Thermocurrents Based on Calculation of Electrical Resistance and Thermopower As an Integral over Electron Energy

Corresponding Member of the RAS G. G. Lazareva, V. A. Popov, V. A. Okishev, and A. V. Burdakov p. 238  abstract

Graph Condensation for Large Factor Models

Academician of the RAS B. N. Chetverushkin, V. A. Sudakov, and Yu. P. Titov p. 246  abstract

Zeros of Conic Functions, Fixed Points, and Coincidences

T. N. Fomenko p. 252  abstract

Mathematical Modeling of Nonstationary Problems Related to Laser Thermochemistry of Methane in the Presence of Catalytic Nanoparticles

E. E. Peskova p. 256  abstract

Representations of Solutions for Volterra Integro-Differential Equations in Hilbert Spaces

N. A. Rautian p. 262  abstract

On Elementary Theory of Completion of Solvable Baumslag–Solitar Group

N. S. Romanovskiy p. 268  abstract

On the Existence and Estimates of Inverse Functions in the Degenerate Case

A. V. Arutyunov, and S. E. Zhukovskiy p. 271  abstract

Stability of Solutions to the Logistic Equation with Delay, Diffusion, and Nonclassical Boundary Conditions

I. S. Kashchenko, S. A. Kashchenko, and I. N. Maslenikov p. 275  abstract

Generalization of Jacobi’s Theorem on the Last Multiplier

E. I. Kugushev, and T. V. Salnikova p. 282  abstract

Construction of an Artificial Neural Network for Solving the Incompressible Navier–Stokes Equations

Academician of the RAS V. B. Betelin, and V. A. Galkin p. 287  abstract

Methods for Tracking an Object Moving in \({{\mathbb{R}}^{3}}\) under Conditions of Its Counteraction

Academician of the RAS V. I. Berdyshev p. 291  abstract

Erratum

Erratum to: On an Extremal Problem for Compactly Supported Positive Definite Functions

A. D. Manov p. 295  abstract