Contents
Doklady Mathematics

Vol. 70, No. 1, 2004

English language translation of the journal is available from MAIK “Nauka / Interperiodica” (Russia).
Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 397, Nos. 1–6, 2004

Volume 70, July–August.

Mathematics

Convergence of Finite-Difference Schemes and Direct Simulation Methods
to Solutions of the Smoluchowski Equation in the Kinetic Theory of Coagulation

V. A. Galkin p. 491  abstract

Integral Operators with Homogeneous Kernels in the Space of Functions
with Bounded Mean Oscillation

A. V. Gil’ and N. K. Karapetyants p. 495  abstract

On the Spectrum of Hamiltonians of Pseudorelativistic Electrons
in Spaces of Functions of Given Symmetry

G. M. Zhislin p. 499  abstract

The Integrability of the n-Center Problem at High Energies

A. Knauf and I. A. Taimanov p. 502  abstract

Integral Transformations of Bergman Weight Spaces

V. V. Napalkov p. 504  abstract

Multiphase Homogenized Models for Diffusion in Highly Nonhomogeneous Media

G. V. Sandrakov p. 507  abstract

On the General Korteweg–de Vries Equation with a Source
in the Class of Steplike Functions

A. B. Khasanov and G. U. Urazboev p. 512  abstract

On the Extension of Holomorphic Motions

E. M. Chirka p. 516  abstract

Solution of Schrödinger Equations for Finite-Dimensional Dirac Hamiltonian Systems
with Polynomial Hamiltonians

S. Albeverio, O. G. Smolyanov, and E. T. Shavgulidze p. 520  abstract

Nonlinear Transformations of Convex Measures and Entropy
of the Radon–Nikodym Densities

V. I. Bogachev and A. V. Kolesnikov p. 524  abstract

On the Orthogonality between Left and Right Singular Vectors

Kh. D. Ikramov p. 529  abstract

An Evolution Process Leading to Financial Averaging and Gibbs Distribution in the Limit

V. P. Maslov p. 531  abstract

Stationary Boundary Value Problems for Navier–Stokes Equations
with Adiabatic Index <

P. I. Plotnikov and J. Sokolowski p. 535  abstract

Homogenization of Variational Inequalities for Problems with a Regular Obstacle

G. V. Sandrakov p. 539  abstract

On the Chromatic Number of the Distance Graph Associated
with a Lacunary Sequence

R. K. Akhunzhanov and N. G. Moshchevitin p. 543  abstract

Informativeness of the Trajectory in the Navigation Problem over an Altitude Field

V. I. Berdyshev p. 545  abstract

Efficient Criterion for Optimality in Terms of Two Solutions to the Riccati Equation

M. I. Zelikin p. 548  abstract

Instability of Solitons in Inextensible Rods

A. T. Il’ichev p. 552  abstract

Stability of Discontinuous Dynamic Systems

A. A. Martynyuk p. 556  abstract

Convex Bodies of Constant Width

E. S. Polovinkin p. 560  abstract

The MacWilliams Relation for Group Association Schemes

V. M. Sidel’nikov p. 563  abstract

On Decompositions of the Loop Algebra over so(3) into a Sum of Two Subalgebras

V. V. Sokolov p. 568  abstract

Stabilization of the Solution to the Cauchy Problem for a Parabolic Equation
with Lowest Order Coefficients and an Increasing Initial Function

V. N. Denisov p. 571  abstract

On the Existence of Henon Attractors

V. A. Dobrynskii p. 574  abstract

Boundedness of the Conjugation Operator in Besov Spaces

A. N. Konenkov and A. I. Syusyukalov p. 580  abstract

Weak Coercivity of Systems of Differential Operators in L¹ and L

D. V. Limanskii and M. M. Malamud p. 584  abstract

On the Matrix Spectrum Dichotomy with Respect to a Closed Contour

Yu. M. Nechepurenko p. 589  abstract

Modified Micromagnetic Equations under an Integral Constraint

V. V. Ternovskii and M. M. Khapaev p. 591  abstract

The Complexity of the Conservative Constraint Satisfiability

A. A. Bulatov p. 597  abstract

A Method for Solving Boundary Value Problems for the Laplace Equation
in Domains with Cones

V. I. Vlasov p. 599  abstract

On the Asymptotic Behavior of Solutions to a Nonlinear Parabolic Boundary Value Problem

Yu. V. Egorov and V. A. Kondrat’ev p. 603  abstract

On the Number of k-Nonseparable Families of Subsets of an n-Element Set
(k-Nonseparable Boolean Functions of n Variables)

A. D. Korshunov p. 606  abstract

On the Convergence of Hyperbolic Semigroups in a Variable Space

S. E. Pastukhova p. 609  abstract

Solution Method for Large-Scale Linear Programming Problems

A. I. Golikov and Yu. G. Evtushenko p. 615  abstract

On the Geometry of Nearly Trans-Sasaki Manifolds

V. F. Kirichenko p. 620  abstract

On Some Integral Inequalities Associated with Riesz Potentials

E. Mitidieri and S. I. Pohozhaev p. 623  abstract

Branching Periodicity: Homogenization of the Dirichlet Problem for an Elliptic System

S. A. Nazarov and A. S. Slutskii p. 628  abstract

To the Theory of Linear Differential Equations with Variable Coefficients

V. V. Napalkov p. 632  abstract

A Proof of the Mishchenko–Fomenko Conjecture

S. T. Sadetov p. 635  abstract

Mathematical Physics

On Resonance Scattering in the Two-Dimensional Averaging Problem

R. R. Gadyl’shin p. 639  abstract

Spectral Decomposition of Wide-Sense Stationary Quantum Random Processes

J. Gough p. 644  abstract

An Exactly Solvable Model of Low-Temperature Superconductivity

V. P. Maslov p. 648  abstract

Computer Science

Encoding of Partially Defined Discrete Memoryless Sources

L. A. Sholomov p. 651  abstract

Control Theory

Stationary Strategies in Supergames

V. S. Levchenkov p. 654  abstract

Circular Ordering of Symmetric Conflict Equilibria

E. R. Smol’yakov p. 658  abstract

Nonlinear Dynamical Hydraulic Networks

O. A. Balyshev and S. O. Balyshev p. 662  abstract

The Problem of Absolute Invariance for Control Systems with Delay

A. V. Proskurnikov and V. A. Yakubovich p. 666  abstract

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