Contents

Doklady Mathematics

Vol. 99, No. 2, 2019

Mathematics

Peano-Type Curves, Liouville Numbers, and Microscopic Sets

A. N. Agadzhanov p. 117  abstract

Logical Language of Description of Polynomial Computing

Academician of RAS S. S. Goncharov and D. I. Sviridenko p. 121  abstract

Accelerated Primal-Dual Gradient Descent with Linesearch for Convex, Nonconvex, and Nonsmooth Optimization Problems

S. V. Guminov, Yu. E. Nesterov, P. E. Dvurechensky and A. V. Gasnikov p. 125  abstract

2-Factor Newton Method for Solving Constrained Optimization Problems with a Degenerate Kuhn–Tucker System

Academician of the RAS Yu. G. Evtushenko and A. A. Tret’yakov p. 129  abstract

On the Complexity of Reductive Group Actions over Algebraically Nonclosed Field and Strong Stability of the Actions on Flag Varieties

V. S. Zhgoon and F. Knop p. 132  abstract

Classification of One-Dimensional Attractors of Diffeomorphisms of Surfaces by Means of Pseudo-Anosov Homeomorphisms

V. Z. Grines and E. D. Kurenkov p. 137  abstract

Optimal Feedback Control Problem for Bingham Media Motion with Periodic Boundary Conditions

V. G. Zvyagin and M. V. Turbin p. 140  abstract

The Least Distance between Extrema and the Minimum Period of Solutions of Autonomous Vector Differential Equations

A. A. Zevin p. 143  abstract

Area of Graph Surfaces on Carnot Groups with Sub-Lorentzian Structure

M. B. Karmanova p. 145  abstract

Interpolation by Sums of Series of Exponentials and Global Cauchy Problem for Convolution Operators

S. G. Merzlyakov and S. V. Popenov p. 149  abstract

Controllability and Optimal Controllability for Operator Equations of the First Kind in (B)-Spaces: Examples for ODE in ${{\mathbb{R}}^{n}}$

A. I. Prilepko p. 152  abstract

On Rapidly Growing Solutions of a Class of Ordinary Differential Equations

A. A. Kon’kov p. 156  abstract

Homogenization of the Boundary Value Problem for the Poisson Equation with Rapidly Oscillating Nonlinear Boundary Conditions: Space Dimension n ≥ 3, Critical Case

A. V. Podolskiy and T. A. Shaposhnikova p. 160  abstract

On the Independence Numbers of Some Distance Graphs with Vertices in {–1, 0, 1}n*

A. M. Raigorodskii and E. D. Shishunov p. 165  abstract

Degenerate Boundary Conditions on a Geometric Graph

Academician of the RAS V. A. Sadovnichii, Ya. T. Sultanaev and A. M. Akhtyamov p. 167  abstract

Sub-Finsler Structures on the Engel Group

A. A. Ardentov and Yu. L. Sachkov p. 171  abstract

Differential Properties of Semigroups and Estimates of Distances between Stationary Distributions of Diffusions

V. I. Bogachev, A. F. Miftakhov and S. V. Shaposhnikov p. 175  abstract

Analogues of Korn’s Inequality on Heisenberg Groups

D. V. Isangulova p. 181  abstract

On Minimal Surfaces on Two-Step Carnot Groups

M. B. Karmanova p. 185  abstract

Outer Billiard outside a Regular Dodecagon

F. D. Rukhovich p. 189  abstract

Hooley’s Problem on Representations of a Number as the Sum of a Square and a Product

Corresponding Member of the RAS V. A. Bykovskii and A. V. Ustinov p. 195  abstract

On the Uniqueness of a Solution to an Inverse Problem of Scattering by an Inhomogeneous Solid with a Piecewise Hölder Refractive Index in a Special Function Class

Yu. G. Smirnov and A. A. Tsupak p. 201  abstract

On Lindeberg–Feller Limit Theorem

E. L. Presman and Sh. K. Formanov p. 204  abstract

New Approach to Farkas’ Theorem of the Alternative

Academician of the RAS Yu. G. Evtushenko, A. A. Tret’yakov and Academician of the RAS E. E. Tyrtyshnikov p. 208  abstract

On the Bisection Method for Normal Matrices

Khakim D. Ikramov p. 211  abstract

Sufficient Maximality Conditions for Surfaces on Two-Step Sub-Lorentzian Structures

M. B. Karmanova p. 214  abstract

On Infinite-Dimensional Integer Hankel Matrices

Academician of the RAS V. P. Platonov and M. M. Petrunin p. 218  abstract

Mathematical Physics

Vlasov–Poisson–Poisson Equations, Critical Mass, and Kordylewski Clouds

V. V. Vedenyapin, T. V. Salnikova and S. Ya. Stepanov p. 221  abstract

Bifurcations of Liouville Tori in a System of Two Vortices of Positive Intensity in a Bose–Einstein Condensate

P. E. Ryabov p. 225  abstract

Computer Science

Explicit Methods for Integrating Stiff Cauchy Problems

A. A. Belov, Corresponding Member of the RAS N. N. Kalitkin, P. E. Bulatov and E. K. Zholkovskii p. 230  abstract

Classification of Lung Nodules Using CT Images Based on Texture Features and Fractal Dimension Transformation

V. F. Kravchenko, V. I. Ponomaryov, Academician of the RAS V. I. Pustovoit and E. Rendon-Gonzalez p. 235  abstract