Contents
Doklady Mathematics

Vol. 85, No. 2, 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 443, Nos. 1–6, 2012

Volume 85, March–April.

Mathematics

Algebraic Foundations of the Theory of Singularly Perturbed Equations

V. I. Kachalov p. 161  abstract

Asymptotic Study of the Corporate Dynamics of Systems
of Equations Coupled by Delay Control

I. S. Kashchenko p. 163  abstract

Automorphisms of Boolean Algebras Determined by Fixed Points

D. E. Pal’chunov and A. V. Trofimov p. 167  abstract

Local Geometry of Nonregular Weighted Quasimetric Carnot–Carathéodory Spaces

S. V. Selivanova p. 169  abstract

Interpolation in the Asymptotic Integration of Nonoscillatory Differential Equations

S. A. Stepin p. 174  abstract

Investigation of a New Class of Control Systems

A. A. Tolstonogov p. 178  abstract

Nonlinear Stability of Couette, Poiseuille, and Kolmogorov Plane Channel Flows

O. V. Troshkin p. 181  abstract

On the Coincidence of Maximal Stable Bridges in Two Game Problems

V. N. Ushakov, Kh. G. Guseinov, Ya. A. Latushkin, and P. D. Lebedev p. 186  abstract

On the Global Convergence Rate of an Iterative Method for the Navier–Stokes Problem

M. E. Bogovskii p. 191  abstract

Fischer Decomposition for a Class of Inhomogeneous Polynomials

I. N. Elizar’ev and V. V. Napalkov p. 196  abstract

Boundary Homogenization of a Variational Inequality with Nonlinear Restrictions
for the Flux on Small Regions Lying on a Part of the Boundary

M. E. Pérez and T. A. Shaposhnikova p. 198  abstract

Variational Method for Processing Experimental Data

V. V. Ternovskii and M. M. Khapaev p. 204  abstract

The Radon Transform in Infinite-Dimensional Spaces

V. I. Bogachev and M. N. Lukintsova p. 208  abstract

Generalized Solutions of the Smolukhovskii Semilinear System of Equations
and Their Approximations

V. A. Galkin p.212  abstract

Gårding’s Inequality for Higher Order Elliptic Operators with Nonpower Degeneration

S. A. Iskhokov, M. G. Gadoev, and I. A. Yakushev p. 215  abstract

On Basicity of Perturbed System of Exponents in Lebesgue Space
with Variable Summability Factor

T. R. Muradov p. 219  abstract

The Fundamental Principle of Euler for a Class of Partial Differential Equations
with Variable Coefficients

V. V. Napalkov and A. M. Dil’mukhametova p. 222  abstract

Blow-up of Global Sign-Changing Solutions of a Nonlinear Heat Equation

S. I. Pohozaev p. 225  abstract

Continuous Restrictions of Measurable Linear Operators

E. V. Yurova p. 229  abstract

On the Solvability in a Weight Space of a Third-Order Operator-Differential Equation
with Multiple Characteristic

A. R. Aliev and A. L. Elbably p. 233  abstract

Free Nilpotent R-Groups of Class 2

M. G. Amaglobeli and V. N. Remeslennikov p. 236  abstract

Refined Asymptotic Formulas for Eigenvalues and Eigenfunctions of the Dirac System

M. Sh. Burlutskaya, V. P. Kurdyumov, and A. P. Khromov p. 240  abstract

Symplectic Varieties with Invariant Lagrangian Subvarieties

V. S. Zhgoon and D. A. Timashev p. 243  abstract

Colorings of Uniform Hypergraphs with Large Girth

A. B. Kupavskii and D. A. Shabanov p. 247  abstract

Compression Based Homogeneity Testing

M. B. Malyutov p. 251  abstract

On the Unique Solvability of Initial Boundary Value Problems
for the Vlasov–Poisson System of Equations in a Half-Space

A. L. Skubachevskii p. 255  abstract

Exponential Expansions of Solutions to an Ordinary Differential Equation

A. D. Bruno p. 259  abstract

The Matrix Equation X + AX^TB = C: Conditions for Unique Solvability
and a Numerical Algorithm for Its Solution

Khakim D. Ikramov and Yu. O. Vorontsov p. 265  abstract

On the Stability Property in Positional Differential Games

V. N. Ushakov and A. A. Uspenskii p. 268  abstract

On the Accuracy of the Normal Approximation for Sums of Independent Random Variables

I. G. Shevtsova p. 274  abstract

Some Problems of Mathematical Physics in the Whole Euclidean Space

Yu. A. Dubinskii p. 279  abstract

On Affine Reducibility of Combinatorial Polytopes

A. N. Maksimenko p. 283  abstract

New Orders of Torsion Points in Jacobians of Curves of Genus 2
over the Rational Number Field

V. P. Platonov and M. M. Petrunin p. 286  abstract

Generalization of B.M. Levitan and M.G. Gasymov’s Solvability Theorems
to the Case of Indecomposable Boundary Conditions

V. A. Sadovnichii, Ya. T. Sultanaev, and A. M. Akhtyamov p. 289  abstract

On the Accuracy of the Normal Approximation for Sums of Symmetric Independent
Random Variables

I. G. Shevtsova p. 292  abstract

Mathematical Physics

Buffer Phenomenon in Neurodynamics

S. D. Glyzin, A. Yu. Kolesov, and N. Kh. Rozov p. 297  abstract

An Extension of the Hamilton–Jacobi Method

V. V. Kozlov p. 301  abstract

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