Contents
Doklady Mathematics


Vol. 85, No. 1, 2012

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

Translated from Doklady Akademii Nauk, Volume 442, Nos. 1–6, 2012


Volume 85, January–February.

Mathematics

Extensions of Strongly Regular Graphs with Eigenvalue 2

N. D. Zyulyarkina and A. A. Makhnev p. 1  abstract

Unitary Congruence of Mutually Transposed Matrices

Kh. D. Ikramov p. 5  abstract

Basis Properties of the System of Eigenfunctions in the Sturm–Liouville Problem
with a Spectral Parameter in the Boundary Conditions

N. B. Kerimov and R. G. Poladov p. 8  abstract

The Pontryagin Maximum Principle: Statement and Proof

G. G. Magaril-Il’yaev p. 14  abstract

Eigenvalue Asymptotics for Almost Flat Compact Hypersurfaces

D. I. Borisov and P. Freitas p. 18  abstract

Elementary Proof of Constructive Versions of the Tangent Direction Theorem
and the Implicit Function Theorem

Yu. G. Evtushenko and A. A. Tret’yakov p. 23  abstract

Formula of Regularized Traces

P. B. Zatitskiy, A. I. Nazarov, and D. M. Stolyarov p. 29  abstract

Asymptotic Behavior of the Solution of a Small-Parameter Equation in a Domain
with a Conical Point on the Boundary

E. F. Lelikova p. 33  abstract

Several Inequalities for Moments of Sums and Differences of Independent Random Variables

N. G. Ushakov p. 40  abstract

Nontrivial Invariant Measures and Statistics for Exclusion Type Processes

M. L. Blank p. 42  abstract

A Class of Hypergraphs and Vertices of Cut Polytope Relaxations

V. A. Bondarenko and A. V. Nikolaev p. 46  abstract

On Half Conformally Flat Four-Dimensional Lie Algebras

O. P. Gladunova, E. D. Rodionov, and V. V. Slavskii p. 48  abstract

On the Properties of Solutions of Nonlinear Elliptic Inequalities Containing Terms
with Lower Order Derivatives

A. A. Kon’kov p. 51  abstract

Periodic Groups with Given Properties of Finite Subgroups

D. V. Lytkina p. 55  abstract

Spectral Analysis of a Fourth-Order Differential Pencil on the Whole Real Line

S. S. Mirzoev, E. G. Orudzhev, and A. R. Aliev p. 57  abstract

Spherical Mean Theorems for Solutions of the Helmholtz Equation

O. A. Ochakovskaya p. 60  abstract

Oscillations of the Process Described by the Telegraph Equation for a System Consisting
of Two Segments with Different Densities and Elasticities

I. N. Smirnov p. 63  abstract

Solvability of Boundary Value Problems with Continuous Feedback

S. A. Brykalov p. 68  abstract

High-Order Accurate Collocations and Least Squares Method
for Solving the Navier–Stokes Equations

V. I. Isaev and V. P. Shapeev p. 71  abstract

Wavelet Bases on Adele Rings

A. V. Kosyak, A. Yu. Khrennikov, and V. M. Shelkovich p. 75  abstract

Mixed Problems for the Equation of Longitudinal Vibrations of a Heterogeneous Rod
with a Free or Fixed Right End Consisting of Two Segments
with Different Densities and Elasticities

A. A. Kuleshov p. 80  abstract

Generalized Limits and Representations of Attraction Sets in Problems
with Constraints of Asymptotic Character

A. G. Chentsov p. 83  abstract

Expansions of Solutions to the Fifth Painlevé Equation near Its Nonsingular Point

A. D. Bruno and A. V. Parusnikova p. 87  abstract

Optimization and Balancing of Open, Closed, and Mixed Multiclass Queueing Networks

A. I. Gerasimov p. 93  abstract

Mixed Problems for the Equation of Longitudinal Vibrations of a Heterogeneous Rod
and for the Equation of Transverse Vibrations of a Heterogeneous String Consisting
of Two Segments with Different Densities and Elasticities

A. A. Kuleshov p. 98  abstract

Operator of Positive Closure

S. S. Marchenkov p. 102  abstract

Integral Inequalities for Algebraic and Trigonometric Polynomials

V. V. Arestov and P. Yu. Glazyrina p. 104  abstract

Classification of Linear Actions of Algebraic Groups on Spaces of Homogeneous Forms

P. V. Bibikov and V. V. Lychagin p. 109  abstract

Law of Large Numbers in an Epidemic Model

M. E. Zhukovskii p. 113  abstract

On Commutator Subgroups of Artin Groups

S. Yu. Orevkov p. 117  abstract

On the Area of a Polygonal Linkage

G. Yu. Panina and G. N. Khimshiashvili p. 120  abstract

Pseudonormal Form and Finite-Smooth Equivalence of Real Autonomous Systems
with Two Purely Imaginary Eigenvalues

V. S. Samovol p. 122  abstract


Mathematical Physics

Generic Singularities in Solutions of the Shallow Water Equations

B. I. Suleimanov p. 125  abstract

Cooperative Dynamics of Strongly Coupled Distributed Systems

I. S. Kashchenko and S. A. Kashchenko p. 129  abstract


Computer Science

Methods for Determination of Multiple Reference Sets in the DEA Models

V. E. Krivonozhko, F. R. Førsund, and A. V. Lychev p. 134  abstract

Inverse Ls-Stable Runge–Kutta Schemes

N. N. Kalitkin and I. P. Poshivaylo p. 139  abstract

Measurement of Returns to Scale Using a Non-Radial DEA Model

V. E. Krivonozhko, F. R. Førsund, A. V. Rozhnov, and A. V. Lychev p. 144  abstract


Control Theory

New Periodic Solutions of Nonautonomous Systems of Nonlinear Differential Equations
with Derivatives Multiplied by a Small Parameter and Their Stability

M. E. Mazurov p. 149  abstract

Tracking Problem: Differentiation of the Visibility Function

V. I. Berdyshev p. 153  abstract

Missing Notions of Equilibria for General Game Theory

E. R. Smol’yakov p. 156  abstract


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