Contents

Doklady Mathematics


Vol. 106, No. 1, 2022


Mathematics

Conservativity Spectra and Joosten–Fernández Model

Academician of the RAS L. D. Beklemishev p. 213  abstract

Dual Formulation of the Lemma on Substitution Homomorphisms

Academician of the RAS R. V. Gamkrelidze and A. V. Ovchinnikov p. 218  abstract

On Numerical Solution of a First Kind Integral Equation with a Weak Singularity in the Kernel on a Closed Surface

Corresponding Member of the RAS S. I. Smagin p. 220  abstract

On the Parallelization of the Particle Method for Hybrid Supercomputers

Academician of the RAS B. N. Chetverushkin, M. B. Markov and R. V. Uskov p. 225  abstract

Mathematical Modeling of Overcoming the COVID-19 Pandemic and Restoring Economic Growth

Academician of the RAS V. A. Sadovnichiy, Foreign Member of the RAS A. A. Akaev, A. I. Zvyagintsev and A. I. Sarygulov p. 230  abstract

Conditions for Dissipativity of an Explicit Finite-Difference Scheme for a Linearized Multidimensional Quasi-Gasdynamic System of Equations

A. A. Zlotnik p. 236  abstract

Many-Dimensional Zaremba Problem for an Inhomogeneous p-Laplace Equation

Yu. A. Alkhutov and A. G. Chechkina p. 243  abstract

On Approximate Summation of Poincaré Series in the Schottky Model

S. Yu. Lyamaev p. 247  abstract

Generalization of the Landau and Becker–Pommerenke Inequalities

O. S. Kudryavtseva and A. P. Solodov p. 251  abstract

Ray Statement of the Acoustic Tomography Problem

Corresponding Member of the RAS V. G. Romanov p. 254  abstract

On the Problem of Describing Elements of Elliptic Fields with a Periodic Expansion into a Continued Fraction over Quadratic Fields

G. V. Fedorov p. 259  abstract

New Problems in the Theory of Transcendental Polyadic Numbers

V. G. Chirskii p. 265  abstract

On Topological Classification of Regular Denjoy Type Homeomorphisms

V. Z. Grines and D. I. Mints p. 268  abstract


Computer Science

Improving the Quality of Tomographic Images of a Medium Using Irradiation with Pulses of Different Duration

I. V. Prokhorov and I. P. Yarovenko p. 272  abstract


Information

Modeling Formation and Removal of Limescale in Water Treatment Systems

N. I. Tarasov, T. A. Kudryashova and S. V. Polyakov p. 279  abstract


Control Processes

Extremum Conditions for Constrained Scalar Control of Two Nonsynchronous Oscillators in the Time-Optimal Control Problem

L. M. Berlin and Corresponding Member of the RAS A. A. Galyaev p. 286  abstract

On Optimal Rotation of a Rigid Body by Applying Internal Forces

G. M. Rozenblat p. 291  abstract

Trajectory of an Observer Tracking Object Motion around Convex Obstacles in ${{\mathbb{R}}^{2}}$ and ${{\mathbb{R}}^{3}}$

Academician of the RAS V. I. Berdyshev p. 298  abstract


Errata

Erratum to: Correct Solvability of Integrodifferential Equations in Spaces of Vector Functions Holomorphic in an Angular Domain

V. V. Vlasov and N. A. Rautian p. 302  abstract

Erratum to: On Numerical Modeling of Fiber Deformation and Destruction under Impact Load

Corresponding Member of the RAS I. B. Petrov, A. V. Vasyukov, K. A. Beklemysheva, E. S. Onuchin and N. A. Tovarnova p. 303  abstract