Contents
Doklady Mathematics

Vol. 72, No. 2, 2005

English language translation of the journal is available from Pleiades Publishing, Inc.
Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 404, Nos. 1–6, 2005

Volume 72, September–October.

Mathematics

Fiber Bundles of Manifolds of Negative Curvature with Almost Nilpotent Fundamental Groups

B. N. Apanasov p. 659  abstract

Construction of Nonclassical Multistep Schemes for Linear ODEs

M. V. Bulatov p. 662  abstract

On the Interior Smoothness of Solutions to Second-Order Elliptic Equations

A. K. Gushchin p. 665  abstract

Model Boundary Value Problems for the Heat Equation in Zygmund Spaces

A. N. Konenkov p. 669  abstract

Lacuna-Based Nonreflecting Artificial Boundary Conditions for Computing Solutions
to Maxwell’s Equations over Long Times

V. S. Ryaben’kii and V. I. Turchaninov p. 672  abstract

Equations with a Large Parameter and Nonclassical Behavior of Their Solutions

V. Ya. Yakubov p. 676  abstract

C₀-Semigroups of Operators Generated by Systems of Pseudodifferential Operators
in Weighted L_p Spaces

K. Kh. Boimatov, I. E. Egorov, and M. G. Gadoev p. 680  abstract

Weighted L^p-Inequalities for Sharp-Maximal Functions

V. G. Krotov p. 684  abstract

Decomposition and Attractors of Discrete Dynamic Systems Associated
with Self-Mappings

Yu. N. Pavlovskii p. 687  abstract

Stability Estimate in the Problem of Extending the Solution to the Wave Equation
from a Timelike Cylindrical Surface

V. G. Romanov p. 690  abstract

On the Relative Efficiency of Different Systems for Classical
and Nonclassical Propositional Logics

A. A. Chubaryan p. 694  abstract

Diagnosis of Singularities of Exact Solutions by Calculation on Embedded Grids

E. A. Al’shina, N. N. Kalitkin, and P. V. Koryakin p. 697  abstract

Spectral Asymptotics for Elliptic Systems of Differential Operators
with Piecewise Continuous Coefficients and for Elliptic Problems
with Indefinite Weight

K. Kh. Boimatov p. 702  abstract

Uniqueness Boundary Theorems in the Carleman Classes and the Dirichlet Problem

V. V. Napalkov, K. V. Trunov, and R. S. Yulmukhametov p. 705  abstract

Features of Elements in Finite Groups

N. D. Podufalov and V. M. Fomichev p. 708  abstract

Behavior of the Function R₁(x) and Its Mean Value

A. A. Karatsuba p. 712  abstract

Entropy Solutions to a Second-Order Forward–Backward Parabolic Equation

I. V. Kuznetsov p. 716  abstract

On the Principle of Increasing Complexity in Portfolio Formation on the Stock Exchange

V. P. Maslov p. 718  abstract

Singular Characteristics in the Boundary Conditions of the Hamilton–Jacobi Equation

A. A. Melikyan p. 723  abstract

Elements of Nonsequential Asymptotic Analysis: Ultrasolutions
in Abstract Attainability Problems

A. G. Chentsov p. 728  abstract

Quasi-Widths for Some Classes of Differentiable Periodic Functions of Two Variables

M. Sh. Shabozov and M. Akobirshoev p. 732  abstract

Coefficient Identification Problems for Semilinear Parabolic Equations

Yu. Ya. Belov and I. V. Frolenkov p. 737  abstract

Smoothing of Nontimelike Lipschitz Surfaces with Given Boundaries
in the Minkowski Space

E. G. Grigor’eva p. 740  abstract

Boundary Value Problems with Integral Conditions
for Multidimensional Hyperbolic Equations

A. I. Kozhanov and L. S. Pul’kina p. 743  abstract

Dynamics of the Wigner and Weyl Functions for Open Quantum Systems
with Quadratic Hamiltonians

I. Kupsch and O. G. Smolyanov p. 747  abstract

A Vector-Valued Littlewood–Paley Theorem for Arbitrary Intervals and Its Applications

D. Potapov and F. Sukochev p. 752  abstract

On Homogeneous Pontryagin Surfaces

V. V. Fedorchuk p. 755  abstract

Homogeneous Differential Operators and Riesz Potentials
on the Space of Rectangular Matrices

S. P. Khekalo p. 758  abstract

New Multiplicative Inequalities and Estimates for the L₁-Norms
of Trigonometric Series and Polynomials

S. V. Bochkarev p. 762  abstract

The Large Deviations Law in Number Theory, Computable Functions
of Several Arguments, and Decoding

V. P. Maslov p. 766  abstract

On the Completeness of the System of Eigenfunctions of the Gellerstedt Problem
for a Degenerating Equation of Mixed Type

E. I. Moiseev and M. Moghimi p. 771  abstract

Approximation of Differentiable Functions by Algebraic Polynomials

M. K. Potapov p. 775  abstract

Construction of Entropy Characteristics Based on Replicator Equations
with Nonsymmetric Interaction Matrices

Yu. A. Pykh p. 780  abstract

The WKB Method and Dichotomy for Ordinary Differential Equations

S. A. Stepin p. 783  abstract

Mathematical Physics

Blowup of Solutions to a Class of Sobolev-Type Quasilinear
Dissipative Wave Equations with Sources

M. O. Korpusov and A. G. Sveshnikov p. 787  abstract

Linear and Nonlinear Analogues of the Schrödinger Equation
in the Contextual Approach to Quantum Mechanics

A. Yu. Khrennikov p. 791  abstract

On a Model of the Quantum Key Distribution

I. V. Volovich and A. S. Trushechkin p. 795  abstract

New Classes of Exact Solutions to General Nonlinear Heat (Diffusion) Equations

A. D. Polyanin and E. A. Vyaz’mina p. 798  abstract

Resonance between One-Particle (Bogolyubov) and Two-Particle Series
for a Superfluid in a Capillary

V. P. Maslov p. 802  abstract

Computer Science

Logarithmically Convergent Relaxation Computation

A. A. Boltnev, N. N. Kalitkin, and O. A. Kacher p. 806  abstract

Estimation of the Efficiency of Evolution Algorithms

V. G. Red’ko and Yu. R. Tsoi p. 810  abstract

Control Theory

Minimal Functional Observers

S. K. Korovin, I. S. Medvedev, and V. V. Fomichev p. 814  abstract

Synthesis of Stabilizing Regulators in the Tracking Problem

A. V. Proskurnikov and V. A. Yakubovich p. 819  abstract

Solution Representations and Relative Controllability
of Linear Differential Algebraic Systems with Several Delays

V. M. Marchenko and O. N. Poddubnaya p. 824  abstract

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