Contents

Doklady Mathematics


Vol. 106, No. 3, 2022


Mathematics

Functions of Pairs of Unbounded Noncommuting Self-Adjoint Operators under Perturbation

A. B. Aleksandrov and V. V. Peller p. 407  abstract

Integro-Differential Equation with a Sum-Difference Kernels and Power Nonlinearity

S. N. Askhabov p. 412  abstract

Integral Estimates of Derivatives of Rational Functions in Hölder Domains

A. D. Baranov and I. R. Kayumov p. 416  abstract

On Fixed Points of Continuous Mappings Associated with Construction of Artificial Neural Networks

Academician of the RAS V. B. Betelin and V. A. Galkin p. 423  abstract

On Kantorovich Problems with a Parameter

V. I. Bogachev and S. N. Popova p. 426  abstract

OntoMathPRO: An Ontology of Mathematical Knowledge

A. M. Elizarov, A. V. Kirillovich, E. K. Lipachev and O. A. Nevzorova p. 429  abstract

On Procedures for Testing the Equivalence of Distribution Tails

E. O. Kantonistova and I. V. Rodionov p. 436  abstract

A High-Accuracy Algorithm for Solving Problems of Electrostatics in a Nonhomogeneous Spatially Periodic Dielectric Medium

Yu. A. Kriksin and Corresponding Member of the RAS V. F. Tishkin p. 440  abstract

Stability Analysis of the Solution to a System of Nonlinear Integral Equations Arising in a Logistic Dynamics Model

M. V. Nikolaev, A. A. Nikitin and U. Dieckmann p. 445  abstract

Numerical Modeling of Acoustic Processes in Gradient Media Using the Grid-Characteristic Method

Corresponding Member of the RAS I. B. Petrov, V. I. Golubev, Yu. S. Ankipovich and A. V. Favorskaya p. 449  abstract

Bruhat Numbers of a Strong Morse Function

P. E. Pushkar and M. S. Temkin p. 454  abstract

Computational Complexity of Theories of a Binary Predicate with a Small Number of Variables

M. Rybakov p. 458  abstract

Sub-Riemannian Cartan Sphere

Yu. L. Sachkov p. 462  abstract

Mathematical Modeling of the Consumer Loan Market in Russia under Sanctions

N. V. Trusov and Academician of the RAS A. A. Shananin p. 467  abstract

Construction of Effective Randomized Projective Estimates for Solutions of Integral Equations Based on Legendre Polynomials

Corresponding Member of the RAS G. A. Mikhailov, A. S. Korda and S. V. Rogasinsky p. 475  abstract

Invariant Volume Forms of Variable Dissipation Systems with Three Degrees of Freedom

M. V. Shamolin p. 479  abstract


Errata

Erratum to: On Ramsey Numbers for Arbitrary Sequences of Graphs

V. S. Karas and A. M. Raigorodskii p. 485  abstract

Erratum to: On Thermal Boundary Layer in a Viscous Non-Newtonian Medium

M. A. Kisatov, V. N. Samokhin and G. A. Chechkin p. 486  abstract

Erratum to: The Software System LingvoDoc and the Possibilities It Offers for Documentation and Analysis of Ob-Ugric Languages

Yu. V. Normanskaja, O. D. Borisenko, I. B. Beloborodov and Academician of RAS A. I. Avetisyan p. 487  abstract

Erratum to: Ray Statement of the Acoustic Tomography Problem

Corresponding Member of the RAS V. G. Romanov p. 488  abstract