Contents

Doklady Mathematics

Vol. 98, No. 2, 2018

A simultaneous English language translation of this journal is available from Pleiades Publishing, Ltd.
Distributed worldwide by Springer. Doklady Mathematics ISSN 1064-5624.

Mathematics

On Pronormal Subgroups in Finite Simple Groups

A. S. Kondrat’ev, N. V. Maslova and D. O. Revin p. 405  abstract

The Basis Property of the System of Root Functions of the Oblique Derivative Problem

A. B. Kostin and V. B. Sherstyukov p. 409  abstract

Compressible Finite Groups of Birational Automorphisms

Corresponding Member of the RAS V. L. Popov p. 413  abstract

On Kolmogorov’s ε-Entropy for a Compact Set of Infinitely Differentiable Aperiodic Functions (Babenko’s Problem)

V. N. Belykh p. 416  abstract

On Correctness Conditions for Algebra of Recognition Algorithms with μ-Operators over Pattern Problems with Binary Data

A. E. Dyusembaev and M. V. Grishko p. 421  abstract

Frequency Tests for the Existence and Stability of Bounded Solutions to Differential Equations of Higher Order

A. I. Perov and I. D. Kostrub p. 425  abstract

On the Periodicity of Continued Fractions in Hyperelliptic Fields over Quadratic Constant Field

Academician of the RAS V. P. Platonov, V. S. Zhgoon and G. V. Fedorov p. 430  abstract

A Mesh Free Stochastic Algorithm for Solving Diffusion–Convection–Reaction Equations on Complicated Domains

K. K. Sabelfeld p. 435  abstract

Numerical Characteristics of the Genetic Code for the Possibility of Overlapping Genes

N. N. Kozlov, E. I. Kugushev and Academician of the RAS T. M. Eneev p. 439  abstract

Superfast Iterative Solvers for Linear Matrix Equations

Academician of the RAS E. A. Mikrin, N. E. Zubov, D. E. Efanov and V. N. Ryabchenko p. 444  abstract

Optimization of Randomized Monte Carlo Algorithms for Solving Problems with Random Parameters

Corresponding Member of the RAS G. A. Mikhailov p. 448  abstract

Convergence to Stationary Measures in Nonlinear Fokker–Planck–Kolmogorov Equations

V. I. Bogachev, M. Röckner and S. V. Shaposhnikov p. 452  abstract

On Conditions for L2-Dissipativity of Linearized Explicit QGD Finite-Difference Schemes for One-Dimensional Gas Dynamics Equations

A. A. Zlotnik and T. A. Lomonosov p. 458  abstract

Fejér Sums and Fourier Coefficients of Periodic Measures

A. G. Kachurovskii and I. V. Podvigin p. 464  abstract

An Infinite Family of Curves of Genus 2 over the Field of Rational Numbers Whose Jacobian Varieties Contain Rational Points of Order 28

Academician of the RAS V. P. Platonov and G. V. Fedorov p. 468  abstract

Heterogeneous Computing in Resource-Intensive CFD Simulations

S. A. Soukov and A. V. Gorobets p. 472  abstract

On Non-Uniqueness of Probability Solutions to the Two-Dimensional Stationary Fokker–Planck–Kolmogorov Equation

V. I. Bogachev, T. I. Krasovitskii and S. V. Shaposhnikov p. 475  abstract

The Tricomi Problem for a Functional-Differential Mixed-Composite Equation

A. N. Zarubin p. 480  abstract

Green’s Function of Ordinary Differential Operators and an Integral Representation of Sums of Certain Power Series

K. A. Mirzoev and T. A. Safonova p. 486  abstract

Nonasymptotic Estimates for the Closeness of Gaussian Measures on Balls

A. A. Naumov, V. G. Spokoiny, Yu. E. Tavyrikov and V. V. Ulyanov p. 490  abstract

Variance Reduction in Monte Carlo Estimators via Empirical Variance Minimization

D. V. Belomestny, L. S. Iosipoi and N. K. Zhivotovskiy p. 494  abstract

On Sobolev Classes Containing Solutions to Fokker–Planck–Kolmogorov Equations

V. I. Bogachev, S. N. Popova and S. V. Shaposhnikov p. 498  abstract

Well-Posedness and Spectral Analysis of Volterra Integro-Differential Equations with Singular Kernels

V. V. Vlasov and N. A. Rautian p. 502  abstract

Monotone Finite-Difference Scheme Preserving High Accuracy in Regions of Shock Influence

N. A. Zyuzina, O. A. Kovyrkina and V. V. Ostapenko p. 506  abstract

Confidence Sets for Spectral Projectors of Covariance Matrices

A. A. Naumov, V. G. Spokoiny and V. V. Ulyanov p. 511  abstract

On the Chromatic Numbers of Some Distance Graphs

A. M. Raigorodskii and T. V. Trukhan p. 515  abstract

Mathematical Physics

Efficient Parallel Algorithm for Calculating Electric Currents in a Toroidal Plasma

F. S. Zaitsev and F. A. Anikeev p. 518  abstract

Dynamics of a Delay Logistic Equation with Diffusion and Coefficients Rapidly Oscillating in Space Variable

S. A. Kashchenko p. 522  abstract

Computer Science

Mathematical Models for Calculating the Development Dynamics in the Era of Digital Economy

Foreign Member of the RAS A. A. Akaev and Academician of the RAS V. A. Sadovnichii p. 526  abstract

Control Theory

Control of a Rigid Body Carrying an Oscillator under Incomplete Information

I. M. Ananievski p. 532  abstract

Holistic Theory of Economic Equilibrium: Modified Cassel–Wald Model

V. K. Gorbunov p. 537  abstract