Contents

Doklady Mathematics

Vol. 99, No. 3, 2019

Mathematics

Classification of Stably Reflective Hyperbolic $null$-Lattices of Rank 4

N. V. Bogachev p. 241  abstract

Homogenization Limit for the Diffusion Equation in a Domain Perforated along (n – 1)-Dimensional Manifold with Dynamic Conditions on the Boundary of the Perforations: Critical Case

M. N. Zubova and T. A. Shaposhnikova p. 245  abstract

Perron Stability and Its Study at the First Approximation

I. N. Sergeev p. 252  abstract

Some Properties of Ultrafilters of Widely Understood Measurable Spaces

Corresponding Member of the RAS A. G. Chentsov p. 255  abstract

High-Accuracy Calculation of Eigenvalues of the Laplacian in an Ellipse (with Neumann Boundary Condition)

S. D. Algazin p. 260  abstract

Exponential MR-Groups: Faithful R-Completion

M. G. Amaglobeli p. 263  abstract

Reducing the Degree of Integrals of Hamiltonian Systems by Using Billiards

V. V. Vedyushkina and Academician of RAS A. T. Fomenko p. 266  abstract

Zero–One Laws for Sentences with k Variables

M. E. Zhukovskii and A. S. Razafimahatratra p. 270  abstract

Solvability of a Problem for the Equations of the Dynamics of One-Temperature Mixtures of Heat-Conducting Viscous Compressible Fluids

A. E. Mamontov and D. A. Prokudin p. 273  abstract

On S-Units for Linear Valuations and the Periodicity of Continued Fractions of Generalized Type in Hyperelliptic Fields

Academician of the RAS V. P. Platonov and G. V. Fedorov p. 277  abstract

Graphs of Nonsmooth Contact Mappings on Carnot Groups with Sub-Lorentzian Structure

M. B. Karmanova p. 282  abstract

Complexity of Discrete Seifert Foliations over a Graph

Young Soo Kwon, A. D. Mednykh and I. A. Mednykh p. 286  abstract

Bilinear Weighted Inequalities with Volterra Integral Operators

Corresponding Member of the RAS V. D. Stepanov and G. E. Shambilova p. 290  abstract

Sensitivity of Functionals of Variational Data Assimilation Problems

V. P. Shutyaev and F.-X. Le Dimet p. 295  abstract

Optimal Feedback Control for Leray and Navier–Stokes Alpha Models

A. V. Zvyagin p. 299  abstract

Operator Cosine Functions and Boundary Value Problems

V. A. Kostin, D. V. Kostin and A. V. Kostin p. 303  abstract

Hydrodynamic Instabilities and Nonequilibrium Phase Transitions

E. V. Radkevich, E. A. Lukashev and O. A. Vasil’eva p. 308  abstract

Randomized Hamiltonian Mechanics

Yu. N. Orlov, V. Zh. Sakbaev and O. G. Smolyanov p. 313  abstract

The l-Problem of Moments for One-Dimensional Integro-Differential Equations with Erdélyi–Kober Operators

S. S. Postnov p. 317  abstract

Mathematical Physics

Functional Separable Solutions of Two Classes of Nonlinear Mathematical Physics Equations

A. D. Polyanin and A. I. Zhurov p. 321  abstract

Control Theory

Influence of the Size of a Controllable Device on Time-Optimal Rotation Generated by a Moving Internal Mass

A. M. Shmatkov p. 325  abstract