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. 16, 2012
Volume 85, JanuaryFebruary.
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 SturmLiouville 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-Ilyaev 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. Tretyakov 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. Konkov 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 NavierStokes 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 RungeKutta 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. Smolyakov p. 156 abstract
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