Contents
Doklady Mathematics


Vol. 69, No. 2, 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 395, Nos. 1–6, 2004


Volume 69, March–April.

Mathematics

Computer Implementation of Boolean Algebra

N. P. Brusentsov and Yu. S. Vladimirova p. 155  abstract

Resolvent Matrices and Spectral Functions of an Isometric Operator

M. M. Malamud and V. I. Mogilevskiframe0 p. 158  abstract

Finite-Type Invariants of Virtual Links and the Jones–Kauffman Polynomial

V. O. Manturov p. 164  abstract

The Monte Carlo Method and a Simple Probabilistic Model
for Studying Fluctuations of Critical Parameter Values in the Radiation Transfer Process

G. A. Mikhaframe1lov and G. Z. Lotova p. 167  abstract

Uniqueness of the Determination of the Right-Hand Side
in Quasilinear Parabolic Equations with Final and Boundary Observations

N. L. Gol’dman p. 171  abstract

On the Boundedness of a Solution to a System of Hyperbolic Equations on a Strip

D. S. Dzhumabaev p. 176  abstract

Stability Theory of Solutions to an Impulsive System with Uncertain Parameters

Yu. A. Martynyuk-Chernienko p. 179  abstract

The Dependence of the Purchasing Capability and Average Income
of a Population on the Number of Purchasers at Specialized Markets
and in the Region. Laws of Economic Physics

V. P. Maslov p. 183  abstract

Generalized Angles and Estimates of Their Inverse Distortion
under Quasimeromorphic Mappings

V. V. Aseev, A. V. Sychev, and A. V. Tetenov p. 188  abstract

The Century of Hilbert’s Third Problem 

V. G. Boltyanskiframe2 p. 191  abstract

The Similarity of a J-Self-Adjoint Sturm–Liouville Operator
with Finite-Gap Potential to a Self-Adjoint Operator

I. M. Karabash and M. M. Malamud p. 195  abstract

Finite-Element Linear Second-Order Accurate (up to the Poles) Approximations
of Laplace–Beltrami, Gradient, and Divergence Operators on a Sphere
in frame33 in the Axisymmetric Case

B. V. Pal’tsev and I. I. Chechel’ p. 200  abstract

Homogenization of Elasticity Problems on a Periodic Composite Structure

S. E. Pastukhova p. 208  abstract

Expansions of Solutions to the Fifth Painlevé Equation

A. D. Bruno and E. S. Karulina p. 214  abstract

Quasireflections, Fredholm Eigenvalues, and Finsler Metrics

S. L. Krushkal’ p. 221  abstract

Periodicity of the Degrees of Maps between Seifert Manifolds

S. V. Matveev and A. A. Perfiliev p. 225  abstract

On the Existence of Limit Values of a Biharmonic Function
on the Boundary of a Domain

V. P. Mikhaframe4lov p. 228  abstract

On the Existence of Elliptic Problems on Manifolds with Edges

V. E. Nazaframe5kinskiframe6, A. Yu. Savin, B. Yu. Sternin, and B.-W. Schulze p. 231  abstract

On the Topology of the Image of a Stable Smooth Mapping with Singularities of Corank 1

V. D. Sedykh p. 235  abstract

A General Result on Semicontinuity and Stability of Integral Functionals

M. A. Sychev p. 240  abstract

The Pontryagin Maximum Principle for the Problem
of Optimally Crossing a Given Domain

S. M. Aseev and A. I. Smirnov p. 243  abstract

One Many-Dimensional Non-Self-Adjoint Problem in the Theory of Heat Conduction

M. Ismati (Ismatov) p. 246  abstract

Hamilton Cycles in a Torus Lattice

V. K. Leont’ev p. 250  abstract

Well-Posedness of the Inverse Sturm–Liouville Problem
with Indecomposable Boundary Conditions

V. A. Sadovnichiframe7, Ya. T. Sultanaev, and A. M. Akhtyamov p. 253  abstract

The Feynman Formula for the Cauchy Problem in Domains with Boundary

O. G. Smolyanov, H. von Weizsaecker, and O. Wittich p. 257  abstract

Uniform Convergence Conditions for Trigonometric Fourier Series

O. V. Besov p. 262  abstract

Expansions of Solutions to the Sixth Painlevé Equation

A. D. Bruno and I. V. Goryuchkina p. 268  abstract

Mixing Rates for the Euler Scheme for Stochastic Difference Equations

A. Yu. Veretennikov and S. A. Klokov p. 273  abstract

Dual Type Methods for Inverse Optimization Problems and Their Extensions

I. V. Konnov p. 275  abstract


Mathematical Physics

Gibbs and Poincaré Statistical Equilibria in Systems with Slowly Varying Parameters

V. V. Kozlov p. 278  abstract

On One Differential Identity

A. G. Megrabov p. 282  abstract

Inverse Problems and Some Identities for the Kinetic Equation of Electrodynamics

M. V. Neshchadim p. 286  abstract

The Spectra of Dissipative Structures Developing in Blow-Up Regimes

E. S. Kurkina and S. P. Kurdyumov p. 290  abstract


Control Theory

Allowance for Uncertainties in the Substantiation of Requirements
for the Stability Characteristics of Complex Engineering Systems

V. S. Avduevskiframe8frame9, V. N. Bakulin, S. Yu. Malkov, and V. A. Nazarenko p. 296  abstract

Synthesis of Optimal Systems of Indirect Control

R. Gabasov, N. M. Dmitruk, and F. M. Kirillova p. 299  abstract

Mathematical Model of a Dynamic Process

V. F. Dem’yanov p. 305  abstract

Control Problems for Stationary Equations of Magnetic Hydrodynamics

G. V. Alekseev p. 310  abstract

Averaging Method in Problems of Optimal Control of Oscillations
over a Long Time Interval

L. D. Akulenko p. 314  abstract


Computer Science

Completeness Criteria for Classes of Correcting Operations
and Models of Algorithmic Operators in Classification Problems
with Set-Theoretic Constraints

K. V. Rudakov and Yu. V. Chekhovich p. 318  abstract


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