Contents
Doklady Mathematics

Vol. 67, No. 3, 2003

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

Translated from Doklady Akademii Nauk, Volume 390, Nos. 1–6, 2003

Volume 67, May–June.

Mathematics

New Model of Unmanned Vehicle Navigation over the Altitude Field and Its Fragment

V. I. Berdyshev p. 303  abstract

Everywhere Divergent Fourier–Walsh Series

S. V. Bochkarev p. 307  abstract

On the Formation of a Steplike Contrast Structure in a Parabolic System
with Different Powers of a Small Parameter

V. F. Butuzov and I. V. Nedel’ko p. 311  abstract

Some Types of Strengthened Sobolev Spaces in the Case
of Multidimensional Domains with Irregular Boundaries

E. G. D’yakonov p. 315  abstract

The Exponent of Convergence of the Singular Integral
in a Multidimensional Analog of the Terry Problem

M. A. Chakhkiev p. 320  abstract

On the Frequency Spectrum of a Multidimensional Analogue of a Fabric Membrane

A. V. Komarov, O. M. Penkin, and Yu. V. Pokornyi p. 323  abstract

Curves on Surfaces, Virtual Knots, and the Jones–Kauffman Polynomial

V. O. Manturov p. 326  abstract

Boundary Value Problem for an Even-Order Equation with Multiple Characteristic Roots

E. G. Orudzhev p. 329  abstract

Calculation of the Eigenvalues and Eigenvectors of Non-Self-Conjugate Matrices

M. Otelbaev, B. Rysbaiuly, and A. Zh. Suranchiev p. 333  abstract

Zeros Distribution of Mittag-Leffler Functions

A. Yu. Popov and A. M. Sedletskii p. 336  abstract

Interpolation Formula for Multiplicative Transformations of Functions of Several Variables

N. T. Tleukhanova p. 340  abstract

Legendre Analysis, Thermodynamic Formalism, and Spectra of Perron–Frobenius Operators

A. B. Antonevich, V. I. Bakhtin, A. V. Lebedev, and D. S. Sarazhinsky p. 343  abstract

Alternating Contrast Structures in Singularly Perturbed Quasilinear Equations

A. B. Vasil’eva and O. E. Omel’chenko p. 346  abstract

On a Version of the Riemann Problem in the Theory of Integrable Systems

A. V. Domrin p. 349  abstract

Regularized Optimization Methods with Finite-Step Interior Algorithms

A. Z. Ishmukhametov p. 352  abstract

On Divergent Fourier Series in Orthogonal Systems with Bounded Variations

K. S. Kazaryan and P. L. Ul’yanov p. 357  abstract

Newton’s Problem of a Body of Minimal Aerodynamic Resistance

A. Yu. Plakhov p. 362  abstract

On the Second Stokes Conjecture for the Wave of Extreme Form

P. I. Plotnikov and J. F. Toland p. 366  abstract

The Feynman Formulas for Solving Infinite-Dimensional Schrödinger Equations
with Polynomial Potentials

O. G. Smolyanov and E. T. Shavgulidze p. 369  abstract

A Highly Accurate Method for Evaluating the Riemann Zeta Function,
Its Derivatives, and Their Complex Zeros

M. K. Kerimov and S. L. Skorokhodov p. 373  abstract

The Cauchy Problem for an Ultrahyperbolic Equation
with Initial Conditions Specified in a Hyperplane

D. P. Kostomarov p. 377  abstract

An Unimprovable Estimate of the Convergence Rate
in the Fictitious Domain Method for the Navier–Stokes Equations

Sh. N. Kuttykozhaeva, B. T. Zhumagulov, and Sh. S. Smagulov p. 382  abstract

The Problem of Determining Two Coefficients of a Hyperbolic Equation

V. G. Romanov and D. I. Glushkova p. 386  abstract

A New Class of Nonlinear Evolution Equations

L. M. Berkovich p. 391  abstract

On the Behavior of the Function S(t) at Short Intervals

M. A. Korolev p. 396  abstract

Chebyshev–Markov–Bernstein–Szegö Polynomials and Quadrature Formulas
with Enhanced Precision for Some Classes of Integrals
with Parameter-Dependent Weight Functions

V. I. Lebedev p. 398  abstract

Variational Problems for Additive Loss Functions and Kolmogorov Complexity

V. P. Maslov and V. V. V’yugin p. 404  abstract

The Euler Fundamental Principle for Discrete Difference Operators

V. V. Napalkov p. 408  abstract

Schrödinger Quantization of Hamilton–Dirac Systems
and Feynman Integrals over Superspaces

S. Albeverio and O. G. Smolyanov p. 411  abstract

Invariant Relations for the Fokker–Planck System

A. D. Bruno and V. V. Lunev p. 416  abstract

Probability Representations and the Monte Carlo Method
for Solving Equations with Powers of Elliptic Operators

G. A. Mikhailov and V. L. Lukinov p. 423  abstract

The Spectrum and Trace Formula for the Two-Dimensional Schrödinger Operator
in a Homogeneous Magnetic Field

Kh. Kh. Murtazin and Z. Yu. Fazullin p. 426  abstract

Mathematical Physics

Characteristics of Gas Hydrates and Constructions
Determined by the Eight-Dimensional Lattice E₈

A. L. Talis p. 429  abstract

Group Stratification and Lax Representation

A. G. Megrabov p. 435  abstract

Some Results of the Group Approach to the Kinematic Seismic (Geometric Optics) Problem

A. G. Megrabov p. 440  abstract

From the Burgers Equation to a System of Equations with the Kovalevskaya-Painlevé Property

V. A. Gorodtsov p. 445  abstract

Control Theory

On a Metric on Domination Cones

A. I. Propoi p. 449  abstract

On the Structure of Partially Ordered Sets

A. I. Propoi p. 452  abstract

Computer Science

An Associative Memory Capable of Recognizing Strongly Correlated Patterns

B. V. Kryzhanovskii and A. L. Mikaelyan p. 455  abstract

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