Contents

Doklady Mathematics

Vol. 105, No. 2, 2022

Mathematics

On the Existence of B-Root Subgroups on Affine Spherical Varieties

R. S. Avdeev and V. S. Zhgoon p. 51  abstract

Taylor-Type Formulas for Arbitrary Continuous Functions on Intervals and Their Application in Control Problems for Distributed Systems

A. N. Agadzhanov p. 56  abstract

On the Word Fragment Length for Unambiguous Reconstruction of a Periodic Word from a Complete Multiset of Fragments of Fixed Length

V. A. Alekseev and Yu. G. Smetanin p. 61  abstract

Description of Coordinate Groups of Irreducible Algebraic Sets over Free 2-Nilpotent Groups

M. G. Amaglobeli, A. G. Miasnikov and V. N. Remeslennikov p. 68  abstract

Uniqueness of Solutions of Initial-Boundary Value Problems for Parabolic Systems with Dini-Continuous Coefficients in Domains on the Plane

E. A. Baderko and S. I. Sakharov p. 71  abstract

On Coverings of Tori with Cubes

I. I. Bogdanov, O. R. Grigoryan and M. E. Zhukovskii p. 75  abstract

On the Behavior of Solutions of the Prandtl System for a Ladyzhenskaya Viscous MHD Medium in the Flow through a Confuser

R. R. Bulatova p. 78  abstract

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

V. V. Vlasov and N. A. Rautian p. 84  abstract

Behavior of Binomial Distribution near Its Median

N. A. Volkov, D. I. Dmitriev and M. E. Zhukovskii p. 89  abstract

Markov Approximations of the Evolution of Quantum Systems

J. Gough, Yu. N. Orlov, V. Zh. Sakbaev and O. G. Smolyanov p. 92  abstract

On Tests to Distinguish Distribution Tails Invariant with Respect to the Scale Parameter

E. O. Kantonistova and I. V. Rodionov p. 97  abstract

On the Stefan Problem for a System of Magnetohydrodynamic Boundary Layer Equations with Injection of a Medium Governed by the Ladyzhenskaya Rheological Law

A. M. Kisatov p. 102  abstract

Boundary Problems for Parabolic Equations with Degenerate Boundary Condition of the Third Kind

A. I. Kozhanov, A. N. Artyushin and V. V. Shubin p. 106  abstract

Classical Solutions of the First Boundary Value Problem for Parabolic Systems on the Plane

A. N. Konenkov p. 109  abstract

On Convergent Series Expansions for Solutions of Nonlinear Ordinary Differential Equations

V. S. Samovol p. 112  abstract

Singular Integral Operators with a Generalized Cauchy Kernel

A. P. Soldatov p. 117  abstract

On Periodic Solutions of Quasilinear Parabolic Equations with Boundary Conditions of Bitsadze–Samarskii Type

O. V. Solonukha p. 123  abstract

Weakly Singular Steklov Condition in the Multidimensional Case

A. G. Chechkina p. 127  abstract

Computer Science

Implicit Iterative Schemes Based on Augmented Linear Systems

A. I. Zhdanov p. 131  abstract