Contents

Doklady Mathematics


Vol. 103, No. 1, 2021


Mathematics

Force Evolutionary Billiards and Billiard Equivalence of the Euler and Lagrange Cases

V. V. Vedyushkina and Academician of the RAS A. T. Fomenko p. 1  abstract

On Oscillation Properties of Self-Adjoint Boundary Value Problems of Fourth Order

A. A. Vladimirov and Corresponding Member of the RAS A. A. Shkalikov p. 5  abstract

Spectral Analysis and Solvability of Volterra Integro-Differential Equations

V. V. Vlasov and N. A. Rautian p. 10  abstract

Continuous Mean Periodic Extension of Functions from an Interval

V. V. Volchkov and Vit. V. Volchkov p. 14  abstract

Asymptotics of Eigenvalues in the Orr–Sommerfeld Problem for Low Velocities of Unperturbed Flow

D. V. Georgievskii p. 19  abstract

On the Existence and Structure of Universal Functions

M. G. Grigoryan p. 23  abstract

Application of a Numerical-Asymptotic Approach to the Problem of Restoring the Parameters of a Local Stationary Source of Anthropogenic Pollution

M. A. Davydova, Corresponding Member of RAS N. F. Elansky, S. A. Zakharova and O. V. Postylyakov p. 26  abstract

On Stabilization of the Poisson Integral and Tikhonov–Stieltjes Means: Two-Sided Estimate

V. N. Denisov p. 32  abstract

Analogues of Classical Goodness-of-Fit Tests for Distribution Tails

E. O. Kantonistova and I. V. Rodionov p. 35  abstract

Linear System of Differential Equations with a Quadratic Invariant as the Schrödinger Equation

Academician of the RAS V. V. Kozlov p. 39  abstract

Problem of Determining the Anisotropic Conductivity in Electrodynamic Equations

Corresponding Member of the RAS V. G. Romanov p. 44  abstract

Equiconvergence of Spectral Decompositions for Sturm–Liouville Operators with a Distributional Potential in Scales of Spaces

A. M. Savchuk and I. V. Sadovnichaya p. 47  abstract

Uniqueness and Existence Theorems for Solving Problems of Scattering Electromagnetic Waves by Anisotropic Bodies

A. B. Samokhin and Yu. G. Smirnov p. 50  abstract

Isometries on Noncommutative Symmetric Spaces

F. A. Sukochev and J. Huang p. 54  abstract


Control Theory

On Global Solvability of Nonlinear Equations with Parameters

A. V. Arutyunov and S. E. Zhukovskiy p. 57  abstract

Sub-Riemannian (2, 3, 5, 6)-Structures

Yu. L. Sachkov and E. F. Sachkova p. 61  abstract


Errata

Erratum to: Zero Preservation for a Family of Multivalued Functionals, and Applications to the Theory of Fixed Points and Coincidences

T. N. Fomenko and Yu. N. Zakharyan p. 66  abstract

Erratum to: Abductive Reasoning in Explanation Problems of an Observed Effect

Academician of the RAS S. N. Vassilyev p. 67  abstract