Contents

Doklady Mathematics

Vol. 98, No. 1, 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 the Parameters of the Singular Part of the Horn—Sergeichuk Regularizing Decomposition

Kh. D. Ikramov p. 301  abstract

Clustering Coefficient of a Spatial Preferential Attachment Model

L. N. Iskhakov, M. S. Mironov, L. A. Prokhorenkova, B. Kamiński and P. Prałat p. 304  abstract

Programmed Iteration Method in Differential Games with a Functional Target Set

Corresponding Member of the RAS A. G. Chentsov p. 308  abstract

Optimal Disturbances of Bistable Time-Delay Systems Modeling Virus Infections

G. A. Bocharov, Yu. M. Nechepurenko, M. Yu. Khristichenko and D. S. Grebennikov p. 313  abstract

Spectral Decomposition Formulas for Zeta Functions of Imaginary Quadratic Fields of Class Number One

Corresponding Member of the RAS V. A. Bykovskii p. 317  abstract

The Distribution of the Rational Points on the Unit Circle

M. A. Korolev and A. V. Ustinov p. 321  abstract

On Quadrature Formulas

V. N. Chubarikov p. 325  abstract

Strict Embeddings of Rearrangement Invariant Spaces

S. V. Astashkin and E. M. Semenov p. 327  abstract

Stable Cohomology of Spaces of Non-Resultant Systems of Homogeneous Polynomials in ℝn

Academician of the RAS V. A. Vassiliev p. 330  abstract

Outer Billiards outside a Regular Octagon: Periodicity of Almost All Orbits and Existence of an Aperiodic Orbit

F. D. Rukhovich p. 334  abstract

On the Uniqueness of the Solution of the Inverse Sturm–Liouville Problem with Nonseparated Boundary Conditions on a Geometric Graph

Academician of the RAS V. A. Sadovnichy, Ya. T. Sultanaev and A. M. Akhtyamov p. 338  abstract

Polynomial Computability of Fields of Algebraic Numbers

P. E. Alaev and V. L. Selivanov p. 341  abstract

Fejér Sums for Periodic Measures and the von Neumann Ergodic Theorem

A. G. Kachurovskii and I. V. Podvigin p. 344  abstract

Numerical Schemes without Saturation for Periodic Functions

A. G. Petrov p. 348  abstract

General Embedding Theorem

M. D. Ramazanov p. 353  abstract

Integer Sequences Somos-4

Corresponding Member of the RAS V. A. Bykovskii and M. D. Monina p. 357  abstract

Graphs of Lipschitz Mappings on Two-Step Sub-Lorentzian Structures with Multidimensional Time

M. B. Karmanova p. 360  abstract

Generating Functions in the Knapsack Problem

V. K. Leontiev and E. N. Gordeev p. 364  abstract

On Spectral Asymptotics for a Family of Finite-Dimensional Perturbations of Operators of Trace Class

Yu. P. Petrova p. 367  abstract

On New Arithmetic Properties of Determinants of Hankel Matrices

Academician of the RAS V. P. Platonov and M. M. Petrunin p. 370  abstract

Spaces Associated with Weighted Sobolev Spaces on the Real Line

D. V. Prokhorov, Corresponding Member of the RAS V. D. Stepanov and E. P. Ushakova p. 373  abstract

On Equilibrium Concyclic Configurations

G. K. Giorgadze and G. N. Khimshiashvili p. 377  abstract

On Two-Dimensional Polynomially Integrable Billiards on Surfaces of Constant Curvature

A. A. Glutsyuk p. 382  abstract

Convergence of Eigenfunction Expansions of a Differential Operator with Integral Boundary Conditions

I. S. Lomov p. 386  abstract

On the Closeness of Solutions of Unperturbed and Hyperbolized Heat Equations with Discontinuous Initial Data

Corresponding Member of the RAS T. E. Moiseev, E. E. Myshetskaya and Corresponding Member of the RAS V. F. Tishkin p. 391  abstract

Modeling of Galactic Wind Formation from Supernovae Using High-Performance Computations

Academician of the RAS B. N. Chetverushkin, A. K. Nikolaeva and A. V. Saveliev p. 396  abstract

Mathematical Physics

Modeling of Ultrasonic Waves in Fractured Rails with an Explicit Approach

A. V. Favorskaya, S. V. Kabisov and Corresponding Member of the RAS I. B. Petrov p. 401  abstract