Contents
Doklady Mathematics

Vol. 71, 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 401, Nos. 1–6, 2005

Volume 71, March–April.

Mathematics

On the Interpolation, Embedding, and Extension of Spaces
of Functions of Variable Smoothness

O. V. Besov p. 163  abstract

Blowup of Solutions to Initial Value Problems for Nonlinear Operator-Differential Equations

M. O. Korpusov and A. G. Sveshnikov p. 168  abstract

The Effectiveness of Importance Modeling in the Monte Carlo Method

G. A. Mikhailov and I. N. Medvedev p. 172  abstract

Correctors in the Homogenization of Elasticity Problems on Thin Structures

S. E. Pastukhova p. 177  abstract

Removable Singularities for Solutions to Quasilinear Elliptic Equations of Second Order

A. V. Pokrovskii p. 183  abstract

Steady-State Solutions in a Modified Forrester Model

V. A. Gelovani, P. V. Kurakin, G. G. Malinetskii, and S. A. Makhov p. 186  abstract

The Problem of Symmetric Equilibrium in Compressible Barotropic Fluids
with a Free Surface for a General Body Force

A. A. Zlotnik and B. Ducomet p. 189  abstract

Spectral Functions and Regularized Traces of Singular Differential Operators of Higher Orders

A. I. Kozko and A. S. Pechentsov p. 195  abstract

Birationally Rigid Fano Direct Products

A. V. Pukhlikov p. 198  abstract

Bol Transformation Quasigroups

G. A. Tolstikhina and A. M. Shelekhov p. 201  abstract

Differentiability of Mappings of Carnot–Carathéodory Spaces
in the Sobolev and BV Topologies

S. K. Vodop’yanov and D. V. Isangulova p. 204  abstract

Three-Weighted Hardy-Type Inequalities on the Cone of Quasimonotone Functions

M. L. Goldman and M. V. Sorokina p. 209  abstract

A Dynamic System Related to a Linear Resource Allocation Problem

M. V. Kurkina p. 214  abstract

Fredholm Structures on Loop Groups

G. N. Khimshiashvili p. 217  abstract

Smoothness of Spline Spaces and Wavelet Decompositions

Yu. K. Dem’yanovich p. 220  abstract

Metric Differentiability of Mappings and Geometric Measure Theory

M. B. Karmanova p. 224  abstract

Operators for Almost Normed Spaces

L. D. Kudryavtsev p. 228  abstract

An Interpolation Inequality and Its Application to the Nonlinear
Evolution Schrödinger–Hartree Equation

Sh. M. Nasibov p. 231  abstract

Cauchy Problem for the Graetz–Nusselt Ultraparabolic Equation

P. I. Plotnikov and S. A. Sazhenkov p. 234  abstract

Left-Invariant Lorentz Metrics on Three-Dimensional Lie Groups
with a Schouten–Weyl Tensor of Squared Length Zero

E. D. Rodionov, V. V. Slavskii, and L. N. Chibrikova p. 238  abstract

Estimates for the Cauchy Transform of Point Masses
(the Logarithmic Derivative of Polynomials)

J. M. Anderson and V. Ya. Eiderman p. 241  abstract

Jung’s Theorem and H-convexity

V. Boltyanski and V. Dol’nikov p. 245  abstract

Unconditional Convergence of One More Middle Derivative
for Odd-Degree Spline Interpolation

Yu. S. Volkov p. 250  abstract

On Long Virtual Knots

V. O. Manturov p. 253  abstract

The Topology of Isoenergetic Surfaces for the Sokolov Integrable Case
in the Lie Algebra so(4)

Gh. Haghighatdoost p. 256  abstract

The Spaces of -Ultradifferentiable Functions and -Ultradistributions

A. V. Abanin p. 260  abstract

q-Chronological Algebras

A. S. Dzhumadil’daev p. 264  abstract

The Stability Radius of an Efficient Solution to a Vector Problem
of Boolean Programming in the l₁ Metric

V. A. Emelichev and K. G. Kuz’min p. 266  abstract

On the Asymptotic Behavior of Solutions to the Cauchy Problem
for a Nonlinear Sobolev-Type Equation

E. I. Kaikina, P. I. Naumkin, and I. A. Shishmarev p. 269  abstract

On the Skitovich–Darmois Theorem on the Two-Dimensional Torus

M. V. Myronyuk and G. M. Fel’dman p. 274  abstract

Gradient Systems

A. M. Molchanov and D. A. Molchanova p. 277  abstract

Asymptotic Properties of Functional Integrals on the Loop Space
in the Quantum-Field Model

Yu. P. Solov’ev^†, V. V. Belokurov, and E. T. Shavgulidze p. 281  abstract

Mathematical Physics

Continuous Asymptotic Superselection Rules in Open Quantum Systems

I. Kupsch and O. G. Smolyanov p. 284  abstract

Formal Estimation of Reconstruction Quality in X-ray Tomography

D. S. Anikonov and I. V. Prokhorov p. 289  abstract

Stability of the Plane Couette–Poiseuille Flow

V. I. Zhuk and I. G. Protsenko p. 293  abstract

An Explicit Integration of a Problem of Motion of a Generalized Kovalevskaya Top

M. P. Kharlamov and A. Yu. Savushkin p. 298  abstract

Topological Obstructions to the Existence of Quantum Conservation Laws

V. V. Kozlov p. 300  abstract

Computer Science

Universal Petri Nets and Process-Rewrite Systems Extended with Procedures

I. A. Lomazova p. 303  abstract

Application of Graph Theory to the Problem of Quantitative Estimation
of Goal Importance

I. F. Shakhnov p. 307  abstract

A Domain Model of a Neural Network

B. V. Kryzhanovskii, B. M. Magomedov, and A. L. Mikaelyan p. 310  abstract

Fusing of Potential Functions in Reconstructing Dependences from Empirical Data

V. V. Mottl’, O. S. Seredin, O. V. Krasotkina, and I. B. Muchnik p. 315  abstract

Control Theory

Asymptotic Estimation of the Probability and Mean Sojourn Time for a Point in a Circle

L. D. Akulenko and A. S. Kovaleva p. 320  abstract

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