Contents
Doklady Mathematics

Vol. 57, No. 3, 1998

English language translation of the journal is available from / Interperiodica Publishing (Russia). Distributed worldwide
by the American Institute of Mathematics. Doklady Mathematics ISSN 1064-5624.

Translated from Doklady Akademii Nauk, Volume 360, Nos. 1–6, 1998

Volume 57, May–June.

Mathematics

On Everywhere Divergent Fourier Series of Continuous Functions of Two Variables

A. N. Bakhvalov p. 331  abstract

A Problem of the Best Continuation of a Periodic Function

Yu. A. Dubinskii p. 334  abstract

The Problem of Integral Representation for Radon Measures on a Hausdorff Space

V. K. Zakharov and A. V. Mikhalev p. 337  abstract

On Convolvers and Multipliers for Classes of Functions Related to the Fourier–Bessel Transform

L. N. Lyakhov p. 340  abstract

Inverting Operators of the Potential Type Whose Kernels Have Singularities on a Cone

V. A. Nogin and A. P. Chegolin p. 344  abstract

On the Completeness of Systems of Generalized Hypergeometric Functions

V. A. Sadovnichii and A. Yu. Popov p. 347  abstract

A Solution to the Ehrenpreis Factorization Problem

R. S. Yulmukhametov p. 350  abstract

On the Dirichlet Problem for a System of an Even Number
of Second-Order Equations Elliptic in the Sense of Petrovsky

A. I. Yanushauskas p. 352  abstract

Symmetries of Completely Integrable Distributions

B. M. Dubrov and B. P. Komrakov p. 355  abstract

Harmonic Polynomials in Quantum Euclidean Spaces

D. P. Zhelobenko p. 358  abstract

Fourier, Fourier–Bessel, and Radon Transforms

I. A. Kipriyanov and L. N. Lyakhov p. 361  abstract

The Dynamic Programming Method for Inverse Problems of Estimation of Distributed Systems

A. B. Kurzhanskii and I. F. Sivergina p. 365  abstract

Svicobians of Compartment Models and the DaD-Stability of Svicobians

D. O. Logofet p. 371  abstract

On Fixed Points of Weakly Concave Operators

D. I. Rachinskii p. 374  abstract

Necessary and Sufficient Conditions for Two Poincare Concepts
of Nondegeneracy of Integrable Hamiltonian Systems

O. I. Bogoyavlenskij p. 377  abstract

Invariants of Linear Discrete Systems

P. B. Gusyatnikov and P. P. Gusyatnikov p. 380  abstract

2b-Parabolic Equations with Degeneration in Some of the Variables

S. D. Ivasishen and S. D. Eidel’man p. 384  abstract

Iterative Solution of Elliptic Equations with Variable Coefficients

V. P. Il’in p. 387  abstract

Application of Viability Theory in Generalizing the Tychonoff Theorem
to Singularly Perturbed Differential Inclusions

M. Quincampoix p. 390  abstract

Kernels and Images of Operators Permutable with Multiple Shifts
in the Space of Exponentially Growing Sequences

V. V. Napalkov and A. V. Karpov p. 394  abstract

Solution of One of A.D. Aleksandrov’s Problems

A. V. Pogorelov p. 398  abstract

The Cauchy Problem for the Sturm–Liouville Equations and Estimates
of Its Solution with Respect to the Parameter

V. Ya. Yakubov p. 400  abstract

Solvability of a Variational Data Assimilation Problem

V. I. Agoshkov and V. M. Ipatova p. 404  abstract

Holomorphic Classification of Real Manifolds of General Type

V. K. Beloshapka p. 407  abstract

Algebraic Properties of Master Symmetries and Their Applications

O. I. Bogoyavlenskii p. 410  abstract

Investigation of the Oscillation Properties of Solutions to Partial Differential Equations

Using Sphere Means

M. K. Bugir p. 413  abstract

On the Eigenvalues of a Dirichlet Problem

Yu. V. Egorov and V. A. Kondratiev p. 416  abstract

Generalized Axiom of Planes

S. I. Okrut p. 419  abstract

Differential Inequalities for Elliptic Equations on Composite Manifolds

O. M. Penkin and Yu. V. Pokornyi p. 421  abstract

Reducing Problems of Integral Geometry in the Three-Dimensional Space
to Perturbed Polysingular Integral Equations

Akbar Kh. Begmatov p. 424  abstract

Two New Classes of Problems in Integral Geometry

Akram Kh. Begmatov p. 427  abstract

Feynman Path Integral Corresponding to the Schrödinger Stochastic Equation

V. P. Belavkin and O. G. Smolyanov p. 430  abstract

Relation Algebras with Diophantine Operations

D. A. Bredikhin p. 435  abstract

Stability of the Upper Equilibrium Position of a Pendulum Whose Point
of Suspension Oscillates with a Time-Vanishing Amplitude

V. V. Ganina and Yu. S. Kolesov p. 437  abstract

Fourier Transforms of Rapidly Increasing Functions and Evaluation of Integrals
in the Theory of GG-Functions

I. M. Gel’fand and M. I. Graev p. 439  abstract

Location of the Point of Maximum of a Solution to the Dirichlét Problem for the Poisson Equation

A. A. Kosmodem’yanskii, Jr. p. 443  abstract

On Limiting Values on the Boundary of the Solution Domain of a Polyharmonic Equation

V. P. Mikhailov p. 445  abstract

Fractional Powers of the Schrödinger Operator in L_p Spaces

V. A. Nogin and E. V. Sukhinin p. 448  abstract

Spectral Properties of Abstract Parabolic Operators

A. G. Baskakov p. 451  abstract

Estimation of the Fourier Coefficients of Functions from Lorentz Spaces

S. V. Bochkarev p. 454  abstract

Markov Inequalities in R^m that Cannot Be Improved on the Class of All Convex Compact Fields

Yu. N. Subbotin and Yu. S. Vasil’ev p. 458  abstract

Decrease in the Solutions to the First Mixed Problem for the Wave Equation
in Domains with Infinite Boundaries

A. V. Filinovskii p. 460  abstract

Mathematical Physics

The Behavior of the Magnetic Field in a Conducting Fluid with a Rapidly Varying Velocity Field

A. I. Shafarevich p. 464  abstract

Deviations from Temperature Equilibrium for Classical Bosons in Classical Statistical Physics

V. P. Maslov and G. V. Koval’ p. 467  abstract

Reductions in Systems Integrated by the Method of the Inverse Scattering Problem

V. E. Zakharov and S. V. Manakov p. 471  abstract

Perturbation of a Degenerate Simple Plane Wave in the System of Navier–Stokes Equations

L. A. Kalyakin p. 475  abstract

Group Analysis of the Boltzmann Equations for a Relaxing Multicomponent Gas

Yu. N. Grigor’ev and S. V. Meleshko p. 479  abstract

A Model of a Neural System Synchronizing Wave Packets

S. A. Kashchenko, V. V. Maiorov, and I. Yu. Myshkin p. 483  abstract

Asymptotic Behavior of Oscillatory Motions of Flat Shells Made of Materials
with an Internal Viscosity

V. I. Sedenko p. 487  abstract

Additive Increase in the Spatial Frequency of Laser-Induced Waves
in Optically Bistable Noncavity Systems

O. S. Bondarenko and V. A. Trofimov p. 490  abstract

Informatics

Information-Theoretic Lower Bounds in a Nonparametric Problem of Adaptive Control

A. V. Nazin and A. B. Yuditskii p. 494  abstract

Control Theory

When Is a Linear Control System Minimax?

M. M. Kogan p. 496  abstract

Discrete Maximum Principle

A. V. Pukhlikov p. 498  abstract

Analytical Description and Quadratic Optimization
of Binary Multidimensional Nonlinear Sequential Cell Machines

R. G. Faradzhev, A. T. Nagiev, and F. G. Feiziev p. 501  abstract

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