Contents

Doklady Mathematics


Vol. 97, 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

Asymptotic of the Solution of the Contact Problem for a Thin Elastic Plate and a Viscoelastic Layer

G. P. Panasenko and A. E. Elbert p. 109  abstract

A Two-Stage Method for Constructing Linear Regressions Using Optimal Convex Combinations

O. V. Senko, A. A. Dokukin, N. N. Kiselyova and N. Yu. Khomutov p. 113  abstract

To the Spectral Theory of One-Dimensional Matrix Dirac Operators with Point Matrix Interactions

V. S. Budyka, M. M. Malamud and A. Posilicano p. 115  abstract

Metric Properties of Level Surfaces of Hölder Mappings Defined on Two-Step Carnot Groups

M. B. Karmanova p. 122  abstract

On the Generic Rank of Matrices Composed of Kronecker Products

D. A. Stefonishin p. 125  abstract

p-Subgroups in Automorphism Groups of Real del Pezzo Surfaces

E. A. Yasinsky p. 129  abstract

Thermodynamics and Optimal Control of Porous Media Flows in Oil Field Development

A. V. Akhmetzyanov, A. G. Kushner and V. V. Lychagin p. 131  abstract

Completeness of Some Commutative Subalgebras Associated with Nijenhuis Operators on Lie Algebras

A. Yu. Konyaev p. 137  abstract

On the Mean Number of Particles of a Branching Random Walk on ${{\mathbb{Z}}^{d}}$ with Periodic Sources of Branching

M. V. Platonova and K. S. Ryadovkin p. 140  abstract

Certain Reductions of Hitchin Systems of Rank 2 and Genera 2 and 3

O. K. Sheinman p. 144  abstract

Asymptotics and Arithmetical Properties of Complexity for Circulant Graphs

A. D. Mednykh and I. A. Mednykh p. 147  abstract

Low Dimension Models of Continuously Variable Transmission Dynamics

S. G. Orlov p. 152  abstract

On the Relationship between the Dimension of the Lebesgue–Stieltjes Measure and the Rate of Approximation of a Function by Step Functions

Yu. V. Tikhonov p. 157  abstract

On the Stability of a Periodic Hamiltonian System with One Degree of Freedom in a Transcendental Case

B. S. Bardin p. 161  abstract

On the Existence of a Nearly Optimal Skeleton Approximation of a Matrix in the Frobenius Norm

N. L. Zamarashkin and A. I. Osinsky p. 164  abstract

On Singular Points of Equations of Mechanics

A. P. Ivanov p. 167  abstract

Conditions of Spectrum Localization for Operators not Close to Self-Adjoint Operators

Kh. K. Ishkin p. 170  abstract

Modeling Nondegenerate Bifurcations of Closures of Solutions for Integrable Systems with Two Degrees of Freedom by Integrable Topological Billiards

V. V. Vedyushkina, Academician of the RAS A. T. Fomenko and I. S. Kharcheva p. 174  abstract

Analogue of Maslov’s Canonical Operator for Localized Functions and Its Applications to the Description of Rapidly Decaying Asymptotic Solutions of Hyperbolic Equations and Systems

Corresponding Members of the RAS V. E. Nazaikinskii and A. I. Shafarevich p. 177  abstract

Inverse Problem for a Differential Operator with Nonseparated Boundary Conditions

Academician of the RAS V. A. Sadovnichii, Ya. T. Sultanaev and A. M. Akhtyamov p. 181  abstract


Mathematical Physics

On the Estimation of Seismic Resistance of Modern Composite Oil Pipeline Elements

K. A. Beklemysheva, A. V. Vasyukov, V. I. Golubev and Academician of the RAS Yu. I. Zhuravlev p. 184  abstract

Features of the Spectral Density of a Spin System

Corresponding Member of the RAS B. V. Kryzhanovsky p. 188  abstract


Control Theory

Integral Solution of Linear Multi-Term Matrix Equation and Its Spectral Decompositions

A. B. Iskakov p. 193  abstract


Erratum

Erratum to: “Eigenvalue Dynamics of a $\mathcal{P}\mathcal{T}$-Symmetric Sturm–Liouville Operator and Criteria for Similarity to a Self-Adjoint or a Normal Operator” [Doklady Mathematics 96, 607 (2017)]

S. N. Tumanov and A. A. Shkalikov p. 197  abstract