Contents

Contents

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 Eng./Russ.

Mathematics

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

B. N. Apanasov 659 7 Construction of Nonclassical Multistep Schemes for Linear ODEs

M.V.Bulatov 662 11 On the Interior Smoothness of Solutions to Second-Order Elliptic Equations

A. K. Gushchin 665 14 Model Boundary Value Problems for the Heat Equation in Zygmund Spaces

A.N.Konenkov 669 18 Lacuna-Based Nonreflecting Artificial Boundary Conditions for Computing Solutions

to Maxwell's Equations over Long Times

V. S. Ryaben'kii and V. I. Turchaninov 672 21 Equations with a Large Parameter and Nonclassical Behavior of Their Solutions

V. Ya. Yakubov 676 25 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 680 151 Weighted -Inequalities for Sharp-Maximal Functions

V.G. Krotov 684 155 Decomposition and Attractors of Discrete Dynamic Systems Associated

with Self-Mappings

Yu. N. Pavlovskii 687 159 Stability Estimate in the Problem of Extending the Solution to the Wave Equation

from a Timelike Cylindrical Surface

V G. Romanov 690 162 On the Relative Efficiency of Different Systems for Classical

and Nonclassical Propositional Logics

A. A. Chubaryan 694 166 Diagnosis of Singularities of Exact Solutions by Calculation on Embedded Grids

E. A. Al'shina, N. N. Kalitkin, and P. V. Koryakin 697 295 Spectral Asymptotics for Elliptic Systems of Differential Operators

with Piecewise Continuous Coefficients and for Elliptic Problems with Indefinite Weight

K. Kh. Boimatov 702 300 Uniqueness Boundary Theorems in the Carleman Classes and the Dirichlet Problem

V. V. Napalkov, K. V. Trunov, and R. S. Yulmukhametov 705 304 Features of Elements in Finite Groups

N. D. Podufalov and V. M. Fomichev 708 308 Behavior of the Function R¹(x) and Its Mean Value

A. A. Karatsuba 712 439

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

I. V. Kuznetsov 716 443 On the Principle of Increasing Complexity in Portfolio Formation on the Stock Exchange

V.P. Maslov 718 446 Singular Characteristics in the Boundary Conditions of the Hamilton-Jacobi Equation

A. A. Melikyan 723 451 Elements of Nonsequential Asymptotic Analysis: Ultrasolutions

in Abstract Attainability Problems

A. G. Chentsov 728 456 Quasi-Widths for Some Classes of Differentiable Periodic Functions of Two Variables

M. Sh. Shabozov and M. Akobirshoev 732 460 Coefficient Identification Problems for Semilinear Parabolic Equations

Yu. Ya. Belov and I. V. Frolenkov 737 583 Smoothing of Nontimelike Lipschitz Surfaces with Given Boundaries

in the Minkowski Space

E. G. Grigor'eva . 740 586 Boundary Value Problems with Integral Conditions

for Multidimensional Hyperbolic Equations

A. I. Kozhanov and L. S. Pul'kina 743 589 Dynamics of the Wigner and Weyl Functions for Open Quantum Systems

with Quadratic Hamiltonians

I. Kupsch and O. G. Smolyanov 747 593 A Vector-Valued Littlewood-Paley Theorem for Arbitrary Intervals and Its Applications

D. Potapov and F Sukochev . 752 598 On Homogeneous Pontryagin Surfaces

V. V. Fedorchuk 755 601 Homogeneous Differential Operators and Riesz Potentials

on the Space of Rectangular Matrices

S. P. Khekalo 758 604 New Multiplicative Inequalities and Estimates for the L^rNorms

of Trigonometric Series and Polynomials

S. V. Bochkarev 762 727 The Large Deviations Law in Number Theory, Computable Functions

of Several Arguments, and Decoding

V. P. Maslov 766 731 On the Completeness of the System of Eigenfunctions of the Gellerstedt Problem

for a Degenerating Equation of Mixed Type

E. 1. Moiseev and M. Moghimi 111 131 Approximation of Differentiable Functions by Algebraic Polynomials

M. K. Potapov 775 740 Construction of Entropy Characteristics Based on Replicator Equations

with Nonsymmetric Interaction Matrices

Yu. A. Pykh 780 745 The WKB Method and Dichotomy for Ordinary Differential Equations

S. A. Stepin 783 749

Mathematical Physics

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

M. O. Korpusov and A. G. Sveshnikov 787 29

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

A. Yu. Khrennikov 791 33 On a Model of the Quantum Key Distribution

I. V. Volovich and A. S. Trushechkin 795 169 New Classes of Exact Solutions to General Nonlinear Heat (Diffusion) Equations

A. D. Polyanin and E. A. Vyaz'mina 798 173 Resonance between One-Particle (Bogolyubov) and Two-Particle Series

for a Superfluid in a Capillary

V P. Maslov 802 608

Control Theory

Minimal Functional Observers

S. K. Korovin, I. S. Medvedev, and V. V. Fomichev 814 316 Synthesis of Stabilizing Regulators in the Tracking Problem

A. V. Proskurnikov and V. A. Yakubovich 819 321 Solution Representations and Relative Controllability

of Linear Differential Algebraic Systems with Several Delays

V M. Marchenko and O. N. Poddubnaya 824 465

Computer Science

Logarithmically Convergent Relaxation Computation

A. A. Boltnev, N. N. Kalitkin, and O. A. Kacher 806 177 Estimation of the Efficiency of Evolution Algorithms

V. G. Red 'ko and Yu.R.Tsoi 810 312