Contents
Doklady Mathematics


Vol. 81, No. 2, 2010

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 431, Nos. 1–6, 2010


Volume 81, March–April.

Mathematics

Unitary Congruence Classes of 2-by-2 Complex Matrices

Kh. D. Ikramov p. 171  abstract

Upper Bounds on the Number of Limit Cycles in Generalized Liénard Equations of Odd Type

G. A. Kolyutsky p. 176  abstract

Sharpened Upper Bounds for the Absolute Constant in the Berry–Esseen Inequality
for Mixed Poisson Random Sums

V. Yu. Korolev and I. G. Shevtsova p. 180  abstract

A Representation of Solutions to a Three-Dimensional Nonmodel
Singular Partial Differential Equation

L. G. Mikhailov and A. Mukhsinov p. 183  abstract

On the Blow-up of Sign-Changing Solutions to Semilinear Parabolic Equations

S. I. Pohozaev p. 185  abstract

Inverse Scattering Problem for a Discrete Sturm–Liouville Operator on the Entire Line

Ag. Kh. Khanmamedov p. 188  abstract

On the Convergence of Biorthogonal Series Related to Odd-Order Differential Operators
with Nonsmooth Coefficients

S. V. Afonin and I. S. Lomov p. 190  abstract

Generalization of the Poisson–Jensen Formula

I. I. Bavrin p. 193  abstract

Trajectory Attractor for a System of Two Reaction-Diffusion Equations
with Diffusion Coefficient (t) 0+ as t +

M. I. Vishik and V. V. Chepyzhov p. 196  abstract

On Logarithmic Derivatives of Zeta Functions in Families of Global Fields

A. I. Zykin and P. Lebacque p. 201  abstract

Noncommutative Jordan Superalgebras of Degree n2

A. P. Pozhidaev and I. P. Shestakov p. 204  abstract

Hamiltonian Feynman Integrals for Equations with the Vladimirov Operator

O. G. Smolyanov and N. N. Shamarov p. 209  abstract

On Singular Numbers of a Generalized Stieltjes Transformation

E. P. Ushakova p. 214  abstract

Recognizability of the Finite Simple Groups by Spectrum and Order

A. V. Vasil’ev, M. A. Grechkoseeva, and V. D. Mazurov p. 216  abstract

Metric Theory of Functional Solutions of the Cauchy Problem
for a System of Conservation Laws

V. A. Galkin p.219  abstract

On Graphs in Which the Neighborhoods of Vertices
Are Pseudogeometric Graphs for pGs–2(s, t)

A. K. Gutnova and A. A. Makhnev p. 222  abstract

Parabolic Lemmas on Compensated Compactness and Their Applications

V. V. Zhikov and S. E. Pastukhova p. 227  abstract

Jacobians among Abelian Threefolds: A Formula of Klein and a Question of Serre

A. I. Zykin, G. Lachaud, and C. Ritzenthaler p. 233  abstract

Synthesis of Two-Dimensional Quadratic Systems with a Limit Cycle Satisfying
Prescribed Initial Conditions

G. A. Leonov p. 236  abstract

The Inverse Diffraction Problem for Acoustic Equations

V. G. Romanov p. 238  abstract

The Unknown Boundary Problem for Singular Integral Equations

D. S. Anikonov p. 241  abstract

Matrix Quasi-Elliptic Operators in frame0n

G. V. Demidenko p. 244  abstract

Four Limit Cycles in Quadratic Two-Dimensional Systems
with a Perturbed First-Order Weak Focus

G. A. Leonov p. 248  abstract

On Graphs in Which Each -Subgraph Is a Pentagon

A. A. Makhnev and D. V. Paduchikh p. 251  abstract

Completeness of a System of Elementary Solutions to a Class
of Operator-Differential Equations on a Finite Interval

S. S. Mirzoev and R. Z. Gumbataliev p. 255  abstract

Nonlocal Elliptic Operators for Compact Lie Groups

A. Yu. Savin and B. Yu. Sternin p. 258  abstract

Nonsmooth Differential Calculus

S. N. Samborskii p. 262  abstract

Lack of Maximal Asymptotics for Linear Differential Equations in Banach Spaces

G. M. Sklyar p. 265  abstract

On Strongly Regular Graphs with Eigenvalue 2 and Their Extensions

V. V. Kabanov, A. A. Makhnev, and D. V. Paduchikh p. 268  abstract

Integral Functionals with p(x)- and p(x, u)-Growth

M. A. Sychev p. 272  abstract

Vector Integrals: The Fubini and Prokhorov Theorems

A. V. Uglanov p. 274  abstract

Small Deviation Theorem for Division Codes

V. P. Filimonov p. 278  abstract

Selection Principles for Maps of Several Variables

V. V. Chistyakov and Yu. V. Tretyachenko p. 282  abstract

Lower Bounds in the Combinatorial Problem of Erdös and Lovász

D. A. Shabanov p. 286  abstract

Parameters of Semilinear Higman Graphs

I. N. Belousov and A. A. Makhnev p.289  abstract

Asymptotics of Kolmogorov’s -Entropy for Some Classes
of Infinitely Differentiable Periodic Functions (Babenko’s Problem)

V. N. Belykh p. 293  abstract

Left-Invariant Riemannian Metrics on Four-Dimensional Unimodular Lie Groups
with Zero-Divergence Weyl Tensor

O. P. Gladunova and V. V. Slavskii p. 298  abstract

Simple Linear-Algebraic Justification of Specht’s Theorem

Kh. D. Ikramov p. 301  abstract

On Zeros of Hecke L-Functions and Their Linear Combinations on the Critical Line

I. S. Rezvyakova p. 303  abstract

Bounded Algebraic Systems and Universal Functions

A. N. Khisamiev p. 309  abstract


Mathematical Physics

Quasi-Gasdynamic System of Equations with General Equations of State

A. A. Zlotnik p. 312  abstract


Computer Science

Method “MASKA” for Group Expert Classification of Multi-Attribute Objects

A. B. Petrovsky p. 317  abstract


Control Theory

Asymptotically Suboptimal Robust Control of a Discrete-Time Plant
under Unknown Weights of Perturbations

V. F. Sokolov p. 322  abstract

Localization of Invariant Compact Sets of Discrete Systems

A. N. Kanatnikov, S. K. Korovin, and A. P. Krishchenko p. 326  abstract

Admissible Feedback Control Design for the System frame1 = f (x, u)
with an x-Discontinuous Right-Hand Side

V. I. Korobov and E. V. Korotyaeva p. 329  abstract

A New Method for Finding the Weight Index in WV Schemes

V. S. Levchenkov p.332  abstract


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