Contents
Doklady Mathematics

Vol. 53, No. 1, 1996

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

Translated from Doklady Akademii Nauk, Volume 346, Nos. 1–6, 1996

Volume 53, January–February.

Mathematics

Hypergeometric Functions on the Space of p-Dimensional Matrices

I. M. Gel’fand and M. I. Graev p. 1  abstract

Noncompensation of the Singularities of Functions
That are Holomorphic in Tubular Cones

Yu. N. Drozhzhinov and B. I. Zav’yalov p. 5  abstract

On a Problem of E. Cartan

V. A. Igoshin p. 7  abstract

On Traces of Series of Means of Second Differences

L. D. Kudryavtsev p. 9  abstract

On a Problem of Thermoelasticity

V. P. Orlov p. 13  abstract

Global Properties of Quasiaveraged Equations of One-Dimensional Motion
of a Viscous Heat Conducting Gas

A. A. Amosov and A. A. Zlotnik p. 15  abstract

Analysis of Dynamic Systems of a High Dimension Ensemble of Particles

V. I. Zubov p. 19  abstract

The Hilbert Type Inequality for the System of Root Functions
of an Even Order Ordinary Differential Operator

A. A. Malov p. 21  abstract

Stability of a Normally Hyperbolic Set
of an Autonomous System of Differential Equations

V. A. Pliss and G. R. Sell p. 23  abstract

On Computing First Eigenvalues of the Sturm–Liouville Operator

V. A. Sadovnichii and V. E. Podol’skii p. 25  abstract

A Fredholm Property of the Dirichlet Problem for the Petrovskii Elliptic System
of Second-Order Partial Differential Equations

A. Yanushauskas p. 28  abstract

Asymptotic Stability with Respect to a First Approximation in the Broad Sense

V. I. Zubov p. 31  abstract

To the Problem on the Basis Property of the System {exp(iant) sin(nt)}

L. V. Kritskov p. 33  abstract

Stochastic Differential Equations in Hilbert Spaces
for Some Random Functions of a Vector Argument

V. S. Pugachev and I. N. Sinitsyn p. 35  abstract

On a Regularizing Algorithm for Solving
the Inverse Problem for a Hyperbolic Equation

V. G. Romanov p. 39  abstract

Optimization of Shape for an Elliptic System
for Minimization of the First Eigenvalue

A. P. Suetov p. 43  abstract

Asymptotics of Entropy Integrals for Orthogonal Polynomials

A. I. Aptekarev, V. S. Buyarov, W. Wan Ashe, and J. S. Dehesa p. 47  abstract

Difference Schemes for Hydrodynamic Problems in Terms
of the Stream Function and Vorticity Variables

P. N. Vabishchevich p. 50  abstract

Correctness of the Goursat–Cauchy Problem for the System
of Equations of the Davey–Stewartson Type

L. A. Kalyakin and M. M. Shakir’yanov p. 53  abstract

Elliptic Boundary Value Problems in Nonsmooth Domains
in Full Scales of Banach Spaces

B. Ya. Roitberg and Ya. A. Roitberg p. 56  abstract

On the Optimization of Evasion Parameters in Quasilinear Differential Games

L. P. Yugai p. 60  abstract

(Quasi-)Birkhoff Classes and Complete Homomorphic Images
of Lattices of (Quasi-)Varieties

V. A. Gorbunov p. 63  abstract

Multidimensional Inverse Problem of Gel’fand
with Incomplete Boundary Spectral Data

A. P. Kachalov and Ya. V. Kurylev p. 66  abstract

Invariant Tori of Hamiltonian Systems That are Nondegenerate in Rüssman’s Sense

M. B. Sevryuk p. 69  abstract

On the Preservation of Properties of Differential Equations under Discretization

L. Z. Fishman p. 73  abstract

Denumerable Distributivity, Linear Compactness,
and Condition AB5* in Modules

G. M. Brodskii p. 76  abstract

Reduction Theorems for Lattices of (Quasi-)Manifolds

V. A. Gorbunov p. 78  abstract

A Complete Asymptotics of the Solution of the Dirichlet Problem
for a Two-Dimensional Laplace Equation with Rapidly Oscillating Boundary Data

A. S. Demidov p. 81  abstract

Some Initial Boundary Value Problems
for a Difference-Differential Equation of Mixed Type

A. N. Zarubin p. 84  abstract

Mathematical Physics

An Exact General Solution of the Einstein–Dirac Equations in Homogeneous Spaces

V. A. Zhelnorovich p. 87  abstract

The Fundamental Solution of a System of Two-Velocity Hydrodynamic Equations

Kh. Kh. Imomnazarov p. 92  abstract

On a Criterion of Integrability by the Inverse Scattering Transform

B. P. Rysev p. 94  abstract

Existence of Eigenwaves and Solitary Waves in Lossy Linear
and Lossless Nonlinear Layered Waveguides

V. S. Serov, Yu. V. Shestopalov, and H. W. Schürmann p. 98  abstract

A posteriori Estimates of Errors of Structural Solutions
of Space Problems in Mathematical Physics

Yu. V. Gulyaev, V. F. Kravchenko, V. L. Rvachev, and N. D. Sizova p. 101  abstract

On Some Exact Solutions of a System of Nonlinear Elliptic Equations

Yu. A. Markov and M. A. Markova p. 106  abstract

Diffraction of Electromagnetic Waves
on Superconducting Thin Shells with Moving Media

V. F. Kravchenko, V. T. Erofeenko, and Lu Bao Lin p. 109  abstract

Factorized Regional Additive Schemes for Convection/Diffusion Problems

A. A. Samarskii and P. N. Vabishchevich p. 113  abstract

Informatics

An Algorithm of the Construction of Wavelet Systems for Signal Processing

V. F. Kravchenko, V. A. Rvachev, and V. I. Pustovoit p. 117  abstract

Transportation Problems with a Minimax Criterion

A. A. Mironov and V. I. Tsurkov p. 119  abstract

On Convergence of Methods with Different Time Steps in Subdomains

V. I. Drobyshevich p. 123  abstract

Regression Analysis of Structured Objects

N. G. Startseva and N. A. Lyudvina p. 127  abstract

Control Theory

On Military Strategic Equilibrium in a Multipolar World

V. M. Matrosov and A. A. Kosov p. 130  abstract

A Universal Regulator for Optimal Damping Forced Oscillations
in Linear Systems with Delay

V. A. Yakubovich p. 134  abstract

On the Penalization Method in Mathematical Programming

I. I. Eremin p. 138  abstract

On Stable Dynamics of Strategic Arms in a Multipolar World

V. M. Matrosov and A. A. Kosov p. 141  abstract

Frequency Conditions in H-Control and Absolute Stabilization Problems

V. A. Brusin p. 144  abstract

The Transfer Function and the Frequency Response
of a Multidimensional Continuous–Pulse System

E. N. Rozenvasser p. 147  abstract

The Accessibility Set of a Positive Cone
for Autonomous Nonnegative Linear Systems

B. G. Zaslavskii p. 151  abstract

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