Contents

Doklady Mathematics


Vol. 100, No. 1, 2019


Mathematics

A Generalization of the Logarithmic Gross–Sobolev Inequality

Sh. M. Nasibov p. 329  abstract

System of Boundary Layer Equations for a Rheologically Complicated Medium: Crocco Variables

R. R. Bulatova, V. N. Samokhin and G. A. Chechkin p. 332  abstract

On Polynomial Solvability of One Quadratic Euclidean Clustering Problem on a Line

A. V. Kel’manov and V. I. Khandeev p. 339  abstract

On the Energy Current for the Harmonic Crystals in the Half-Space

T. V. Dudnikova p. 343  abstract

High Excursions of Bessel Process and Other Processes of Bessel Type

V. I. Piterbarg and I. V. Rodionov p. 346  abstract

On the Kantorovich Problem with a Parameter

V. I. Bogachev and I. I. Malofeev p. 349  abstract

Degenerate Elliptic Equations and Nonuniqueness of Solutions to the Kolmogorov Equation

T. I. Krasovitskii p. 354  abstract

On Singular Spectrum of Finite-Dimensional Perturbations (toward the Aronszajn–Donoghue–Kac Theory)

M. M. Malamud p. 358  abstract

On the Superposition Principle for Fokker–Planck–Kolmogorov Equations

V. I. Bogachev, M. Röckner and S. V. Shaposhnikov p. 363  abstract

Properties of Extrema of Estimates for Middle Derivatives of Odd Order in Sobolev Classes

T. A. Garmanova and I. A. Sheipak p. 367  abstract

Constructive Generalization of Classical Sufficient Second-Order Optimality Conditions

Academician Yu. G. Evtushenko and A. A. Tret’yakov p. 372  abstract

Multidimensional Bilinear Hardy Inequalities

Corresponding Member of the RAS V. D. Stepanov and G. E. Shambilova p. 374  abstract

On Orbits of Action of 5-Dimensional Non-Solvable Lie Algebras in Three-Dimensional Complex Space

A. V. Atanov, I. G. Kossovskiy and A. V. Loboda p. 377  abstract

Finite-Dimensional Mappings Describing the Dynamics of a Logistic Equation with Delay

S. D. Glyzin and S. A. Kashchenko p. 380  abstract

Grothendieck–Serre Duality and Theta-Invariants on Arithmetic Surfaces

D. V. Osipov p. 385  abstract


Mathematical Physics

Multidimensional Tauberian Theorem for Holomorphic Functions of Bounded Argument

Yu. N. Drozhzhinov p. 389  abstract


Computer Science

Asynchronous Threshold Networks with Multisorted Signals

O. P. Kuznetsov p. 392  abstract

Depth Map Reconstruction Based on Features Formed by Descriptor of Stereo Color Pairs

V. F. Kravchenko, V. I. Ponomaryov, RAS Academician V. I. Pustovoit and D. Rosas-Miranda p. 396  abstract


Control Theory

Nonsmooth Variational Problems for Calibration of Accelerometer Units

A. I. Matasov p. 401  abstract