Contents
Vol. 69, No. 2, 2004
English language translation of the journal is available from MA1K "Nauka/lnterperiodica" (Russia).
Doklady Mathematics ISSN 1064-5624.
Translated from Doklady Akademii Nauk, Volume 395, Nos. 1-6,2004 s
Volume 69, March-April Mathematics
Computer Implementation of Boolean Algebra N. P. Brusentsov and Yu. S. Vladimirova
Resolveni Matrices and Spectral Functions of an Isometric Operator M. M. Malamud and V. I. Mogilevskii
Finite-Type Invariants of Virtual Links and the Jones-Kauffman Polynomial V, O. Manturov
The Monte Carlo Method and a Simple Probabilistic Model
for Studying Fluctuations of Critical Parameter Values in the Radiation Transfer Process G. A. Mikhailov and G. Z. Lotova
Uniqueness of the Determination of the Right-Hand Side
in Quasilinear Parabolic Equations with Final and Boundary Observations N. L. Gol'dman
On the Boundedness of a Solution to a System of Hyperbolic Equations on a Strip D. S. Dzhumahaev
Stability Theory of Solutions to an Impulsive System with Uncertain Parameters Yu. A. Martynyuk-Chernienko
The Dependence of the Purchasing Capability and Average Income of a Population on the Number of Purchasers ai Specialized Markets and in the Region. Laws of Economic Physics
V. P. Maslov
Generalized Angles and Estimates of Their Inverse Distortion under Quasimeromorphie Mappings
V. V. Aseev, A. V. Sychev, and A. V. Tetenov The Century of Hilberf s Third Problem
V, G. Boltyanskil
The Similarity of a /-Self-Adjoint Sturm-Liouville Operator with Finite-Gap Potential to a Self-Adjoint Operator
/. M. Karabash and M. M. Malamud
Finite-Element Linear Second-Order Accurate (up to the Poles) Approximations of Laplace-Beltrami, Gradient, and Divergence Operators on a Sphere
in IR3 in the Axisymmetric Case B. V. Pal'tsev and I. I. ChecheV
Homogenization of Elasticity Problems on a Periodic Composite Structure S. E. Pastukhova
Expansions of Solutions to the Fifth Painleve Equation A. D. Bruno and E. S. Karulina
EngVRuss.
155 7
158 11
164 18
167 22
171 151
176 157
179 160
183 164
188 295
191 299
195 303
200 308
208 316
214 439
Quasi re flee lions, Fredholm Eigenvalues, and Finsler Metrics
S. L KrushkaV 221 445 Periodicity of the Degrees of Maps between Seifert Manifolds
S. V. Matveev and A. A. Perfiliev 225 449 On the Existence of Limit Values of a Biharmonic Function
on the Boundary of a Domain
V. P. Mikhailov 228 452 On the Existence of Elliptic Problems on Manifolds with Edges
V. E. Nazaikinskil, A. Yu. Savin, B. Yu. Sternin, andB.-W. Schulze 231 455 On the Topology of the Image of a Stable Smooth Mapping with Singularities of Corank 1
V. D. Sedykh 235 459 A General Result on Semicontinuity and Stability of Integral Functionals
M. A. Sychev 240 464 The Pontryagin Maximum Principle for the Problem
of Optimally Crossing a Given Domain
S. M. Aseev and A. I. Smirnov * 243 583 One Many-Dimensional Non-Self-Adjoint Problem in the Theory of Heat Conduction
M. Ismati (Ismatov) 246 586 Hamilton Cycles in a Torus Lattice
V. K. Leont'ev 250 590 Wei I-Posed ness of the Inverse Sturm-Liouville Problem
with Indecomposable Boundary Conditions
V. A. Sadovnichil, Ya. T. Sultanaev, and A. M. Akhtyamov 253 592 The Feynman Formula for the Cauchy Problem in Domains with Boundary
O. G. Smolyanov, H. von Weizsaecker, and O. Wittich 257 596 Uniform Convergence Conditions for Trigonometric Fourier Series
O. V. Besov 262 727 Expansions of Solutions to the Sixth Painleve Equation
A. D. Bruno and I. V. Goryuchkina 268 733 Mixing Rates for the Euler Scheme for Stochastic Difference Equations
A. Yu. Veretennikov and S. A. Klokov 273 738 Dual Type Methods for Inverse Optimization Problems and Their Extensions
/. V. Konnov 275 740
Mathematical Physics
Gibbs and Poincare Statistical Equilibria in Systems with Slowly Varying Parameters
V.VKozhv 278 169 On One Differential Identity
A. G. Megmbov 282 174 Inverse Problems and Some Identities for the Kinetic Equation of Electrodynamics
M. V. Neshchadim 286 601 The Spectra of Dissipative Structures Developing in Blow-Up Regimes
E. S. Kurkina and S. P. Kurdyumov 290 743
Control Theory
Allowance lor Uncertainties in the Substantiation of Requirements for the Stability Characteristics of Complex Engineering Systems
V: S. Avduevskif, V. N. Bakulin, S. Yu. Malkov, and V. A. Nazarenko 296 26 Synthesis of Optimal Systems of Indirect Control
R. Gabasox; N. M. Dmitruk, and F. M. Kirillova \ 299 30 Mathematical Model of a Dynamic Process
V. F. Dem'yanov 305 178 Control Problems for Stationary Equations of Magnetic Hydrodynamics
G. V.Alekseev 310 322 Averaging Method in Problems of Optimal Control of Oscillations
over a Long Time Interval
L D. Akutenko 314 605
Computer Science
Completeness Criteria for Classes of Correcting Operations and Models of Algorithmic Operators in Classification Problems with Set-Theoretic Constraints
K. V. Rudakovand Yu. V. Chekhavich 318 749
