Contents
Doklady Mathematics

Vol. 77, No. 1, 2008

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 418, Nos. 1–6, 2008

Volume 77, January–February.

Mathematics

On the Mehler Formula for Hermite Polynomials

O. V. Viskov p. 1  abstract

Implicit Formulas for Exact Solutions of Quasilinear Partial Differential Equations

K. A. Volosov p. 5  abstract

Boundary Value Problems for Parabolic Equations in Zygmund Spaces

A. N. Konenkov p. 9  abstract

Embeddability of Finite Distance Graphs with a Large Chromatic Number in Random Graphs

S. V. Nagaeva p. 13  abstract

Pseudohyperbolicity and the Problem on Periodic Perturbations of Lorenz-Type Attractors

D. V. Turaev and L. P. Shil’nikov p. 17  abstract

Ladyzhenskaya’s Theorem on the Initial–Boundary Value Problem
for the Navier–Stokes Equations in a Domain with Time Varying Boundary

E. G. Shifrin p. 22  abstract

On the Existence of Periodic Solutions to Some Nonlinear Thermal Control Problems

P. L. Gurevich, W. Jäger, and A. L. Skubachevskii p. 27  abstract

Estimate for the Number of Relative Minima of Arbitrary-Rank Incomplete Integer Lattices

A. A. Illarionov p. 31  abstract

The Multidimensional Dirichlet Divisor Problem and the Carlson Abscissa and Exponent

O. V. Kolpakova p. 35  abstract

Hardy Spaces of Solutions to Second-Order Elliptic Systems

A. P. Soldatov p. 38  abstract

Non-Haar p-Adic Wavelets and Pseudodifferential Operators

A. Yu. Khrennikov and V. M. Shelkovich p. 42  abstract

Analysis Scheme for Bimodal Deflections of a Weakly Inhomogeneous Elastic Beam

D. V. Kostin p. 46  abstract

The Hamilton–Jacobi Equation for Hereditary Systems: Minimax and Viscosity Solutions

N. Yu. Lukoyanov p. 51  abstract

On Stagnation Zones in Superslow Processes

V. M. Miklyukov p. 55  abstract

On Simplicial BF Theory

P. N. Mnev p. 59  abstract

Sobolev Embedding Theorems for a Class of Irregular Anisotropic Domains

B. V. Trushin p. 64  abstract

Ultrafilters on Measure Spaces as Generalized Solutions to Problems
with Asymptotic Constraints

A. G. Chentsov p. 68  abstract

The Lattice of Partitions of a Positive Integer

V. A. Baransky and T. A. Koroleva p. 72  abstract

Stochastic Anticipating Boundary Value Problems

A. A. Dorogovtsev p. 76  abstract

Existence Theorem for Some Pairs of Coupled Elliptic Equations

V. V. Zhikov p. 80  abstract

Local Estimates and Liouville Theorems for a Class of Quasilinear Inequalities

G. Caristi, E. Mitidieri, and S. I. Pohozaev p. 85  abstract

The Harmonic Problem in the Plane with Cuts under Boundary Conditions of the Third Kind

P. A. Krutitskii p. 90  abstract

Bracket Structures and Virtual Knots

V. O. Manturov p. 94  abstract

Fractal and Infinitely Differentiable Functions in Compactly Supported Control Problems
for Hyperbolic Distributed Systems

A. N. Agadzhanov p. 98  abstract

On Topological Spaces Possessing Uniformly Distributed Sequences

V. I. Bogachev and M. N. Lukintsova p. 102  abstract

Reduction and Decomposition of Mathematical Models and Objects

Yu. N. Pavlovskii p. 107  abstract

On Evolutionary Inverse Problems for Parabolic Equations

S. G. Pyatkov and B. N. Tsybikov p. 111  abstract

On the Continuity of Sobolev-Type Functions on Metric Spaces

A. S. Romanov p. 114  abstract

Estimate of the Existence Time for Solutions to the Surface Wave Equation

R. V. Shamin p. 118  abstract

Feynman Formulas for Particles with Position-Dependent Mass

M. Gadella and O. G. Smolyanov p. 120  abstract

Geometric Analysis on Quaternion Anisotropic Carnot Groups

Der-Chen Chang and I. G. Markina p. 124  abstract

Criterion for the Symmetry of a Spectrum

M. I. Zelikin p. 130  abstract

Discontinuous Value Functions in Time-Optimal Differential Games

L. V. Kamneva p. 133  abstract

Parseval-Type Identities in Analysis on Idempotent Structures

S. N. Samborski p. 137  abstract

Mathematical Physics

On the Differential Factorization Method in Inhomogeneous Problems

O. V. Evdokimova, O. M. Babeshko, and V. A. Babeshko p. 140  abstract

Parabolicity of the Quasi-Gasdynamic System of Equations, Hyperbolicity
of One of Its Modifications, and Stability of Small Perturbations for Them

A. A. Zlotnik and B. N. Chetverushkin p. 143  abstract

Computer Science

On the Construction of a Set of Effective Vectors

Ya. I. Rabinovich p. 149  abstract

Fair Sharing in Cooperative Games

E. R. Smol’yakov p. 153  abstract

Control Theory

Filtering under Nonrandom Disturbances: The Method of Invariant Ellipsoids

B. T. Polyak and M. V. Topunov p. 158  abstract

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