Contents
Doklady Mathematics

Vol. 80, No. 1, 2009

English language translation of the journal is available from Pleiades Publishing, Ltd.
Distributed worldwide by Springer. Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 427, Nos. 1–6, 2009

Volume 80, July–August.

Mathematics

On the Expressibility of the Generalized Induction Principle by a Stratified Semantic System

A. A. Vladimirov p. 453  abstract

On a Semilinear Degenerate Elliptic Boundary Value Problem
for Pseudodifferential Equations

Yu. V. Egorov, Nguyen Minh Chuong, and Dang Anh Tuan p. 456  abstract

Recursive Decomposition of Multidimensional Tensors

I. V. Oseledets and E. E. Tyrtyshnikov p. 460  abstract

Deformation of a Breather-Type Solution after Adding a Lower Order Term
with a Complex Coefficient

S. I. Serdyukova p. 463  abstract

On the Waring–Goldbach Problem

V. N. Chubarikov p. 470  abstract

Generalized Rule for the Addition of Entropies for Underdetermined Data

L. A. Sholomov p. 474  abstract

Asymptotics of the Optimal Cost Functional in a Linear Optimal Control Problem

A. R. Danilin and Yu. V. Parysheva p. 478  abstract

On a Semilinear Boundary Value Problem
for Degenerate Parabolic Pseudodifferential Equations

Yu. V. Egorov, Nguyen Minh Chuong, and Dang Anh Tuan p. 482  abstract

On the Computational Aspects of the Theory of Joint Spectral Radius

V. S. Kozyakin p. 487  abstract

On the Existence of Boundary Values of Solutions to an Elliptic Equation in a Strip

V. P. Mikhailov p. 492  abstract

A New Tensor Decomposition

I. V. Oseledets p. 495  abstract

A Game Problem with Approximate Observation of Constraints

A. G. Chentsov and Yu. V. Shapar’ p. 497  abstract

On Quasisymmetric Structure Parameterization of Attractors
of Special Graph-Directed Function Systems

V. V. Aseev p. 503  abstract

D’Alembert Mappings for a Class of Symmetric Domains

Akram Kh. Begmatov and Z. Kh. Ochilov p. 506  abstract

Maps Preserving Zeros of Matrix Polynomials

A. Guterman and B. Kuzma p. 508  abstract

On the Solvability of the Navier–Stokes Equations for a Compressible Non-Newtonian Fluid

V. V. Zhikov and S. E. Pastukhova p. 511  abstract

On the Properties of Systems of Root Functions of a Second-Order Discontinuous Operator

V. M. Kurbanov and E. D. Ibadov p. 516  abstract

Surgery and Index Formulas on Stratified Manifolds

A. Yu. Savin and B. Yu. Sternin p. 521  abstract

Differential Relations in the Inverse Problem of Determining a Metric from a Hodograph

M. V. Neshchadim p. 525  abstract

The Uniqueness of a Solution to a Volterra-Type Integral Problem in the Plane

Akbar Kh. Begmatov p. 528  abstract

On the Problem of Mean Periodic Continuation

V. V. Volchkov and Vit. V. Volchkov p. 531  abstract

Theorems of the Hoffman–Wielandt Type for the Coneigenvalues of Complex Matrices

Kh. D. Ikramov and Yu. R. Nesterenko p. 536  abstract

Bifurcation, Symmetry, and Cosymmetry in Differential Equations Unresolved
with Respect to the Derivative with Variational Branching Equations

I. V. Konopleva and B. V. Loginov p. 541  abstract

Lower Bounds for the Independence Numbers of Some Distance Graphs
with Vertices in {–1, 0, 1}ⁿ

V. K. Lyubimov and A. M. Raigorodskii p. 547  abstract

Regularized Traces of Singular Differential Operators

V. A. Sadovnichii, A. S. Pechentsov, and A. I. Kozko p. 550  abstract

Stability of Coincidence Points and Set-Valued Covering Maps in Metric Spaces

A. V. Arutyunov p. 555  abstract

Hardy Inequalities with Exceptional Parameter Values and Applications

Yu. A. Dubinskii p. 558  abstract

Sharpening an A Priori Estimate of the Solution of a Well-Known Problem
for a Parabolic-Hyperbolic Equation

E. I. Moiseev and N. Yu. Kapustin p. 563  abstract

A Boundary Value Problem for a Third-Order Equation of Mixed Type

K. B. Sabitov p. 565  abstract

An Asymptotic of a Solution to the Boundary Value Problem for a Nonclassical
Quasilinear Equation Degenerating into a Hyperbolic Equation

Ya. Sh. Salimov and M. M. Sabzaliev p. 569  abstract

Differentials of the Adams Spectral Sequence and the Kervaire Invariant

V. A. Smirnov p. 573  abstract

Effective Normalization of a Nonsingular in Codimension One Algebraic Variety

A. L. Chistov p. 577  abstract

Solutions of Ordinary Differential Equations Asymptotically Approaching Polynomials
in the Reciprocal of an Independent Variable

S. A. Belyaev p. 581  abstract

A Local Approximation Theorem on Carnot Manifolds under Minimal Smoothness Conditions

S. K. Vodop’yanov and M. V. Karmanova p. 585  abstract

The Duality Principle and the Uniqueness Problem for Some Classes of Parabolic Equations
with Unknown Coefficients

N. L. Gol’dman p. 590  abstract

Reachable Sets to Singularly Perturbed Linear Systems

E. V. Goncharova and A. I. Ovseevich p. 595  abstract

Solvability of Some Spatially Nonlocal Boundary Value Problems
for Second-Order Linear Hyperbolic Equations

A. I. Kozhanov p. 599  abstract

Comparison Principle for a Set of Equations with a Robust Causal Operator

A. A. Martynyuk p. 602  abstract

On a Nonlinear Schrödinger–Hartree Evolution Equation in the Critical Case

Sh. M. Nasibov p. 606  abstract

Classification of Elements of Clifford Algebras According to Quaternionic Types

D. S. Shirokov p. 610  abstract

Mathematical Physics

A D’Alembert-Type Formula for Longitudinal Oscillations of an Infinite Rod Consisting
of Two Segments with Different Densities and Elasticities

V. A. Il’in p. 613  abstract

Two-Frequency Autowave Processes in the Discrete Ginzburg–Landau Equation

A. Yu. Kolesov and N. Kh. Rozov p. 616  abstract

Variational Nature of Nonlinear Chaplygin Equations and Their Analogues

A. I. Rylov p. 621  abstract

A d’Alembert-Type Formula for Transverse Oscillations of an Infinite Rod Consisting
of Two Segments with Different Densities

V. A. Il’in p. 624  abstract

Computer Science

A Model of Optimal Migration of Locally Informed Beings

M. G. Sadovskii, M. Yu. Senashova, and P. A. Brychev p. 627  abstract

Human Memory and Thinking, Figurative and Symbolic. A Conceptual Model Representation

Yu. A. Belov and Z. L. Rabinovich p. 630  abstract

Control Theory

Analysis and Synthesis of Controlled Delay Lines for Fast Digital Devices

G. A. Leonov p. 633  abstract

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