Contents
Doklady Mathematics

Vol. 58, No. 1, 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 361, Nos. 1–6, 1998

Volume 58, July–August.

Mathematics

Convergence Theorems for Spatial Maps

M. Vuorinen, V. Ya. Gutlyanskii, O. Martio, and V. I. Ryazanov p. 1  abstract

Spectra of Degenerate Operator Equations

V. V. Kornienko p. 4  abstract

Birational Automorphisms of Three-Dimensional Algebraic Varieties
Fibered into del Pezzo Surfaces

A. V. Pukhlikov p. 8  abstract

Elliptic Boundary-Value Problems in Domains with Points of Logarithmic Boundary Vorticity

V. S. Rabinovich p. 11  abstract

Nonlinear Monotone Schemes for the Transport Equation

A. A. Samarskii and P. N. Vabishchevich p. 15  abstract

Markov and Bernstein’s Inequalities in Banach Spaces

V. I. Skalyga p. 18  abstract

Existence Theorems for Equilibrium in Noncooperative Games

E. R. Smol’yakov p. 22  abstract

On the Properties of Haar Expansions

P. L. Ul’yanov p. 25  abstract

The Local Behavior of Quasiconformal Maps in Space

M. Vuorinen, V. Ya. Gutlyanskii, O. Martio, and V. I. Ryazanov p. 29  abstract

The Optimization Method for Solving a Discrete Inverse Problem for a Hyperbolic Equation

S. I. Kabanikhin and G. B. Bakanov p. 32  abstract

Generalized Solution to the Problem of Nonlinear Filtration of a Liquid in a Porous Medium

A. V. Lapin p. 36  abstract

Existence of Global Solutions to Multidimensional Burgers Equations
for a Compressible Viscous Fluid

A. E. Mamontov p. 39  abstract

The Theory of Topological Degree of Set-valued Maps

V. S. Mel’nik p. 42  abstract

Polynomial Optimization Problem

A. Yu. Uteshev and T. M. Cherkasov p. 46  abstract

Attractors of Set-Valued Semidynamic Systems Generated by Evolution Inclusions

Kh. K. Valero and V. S. Mel’nik p. 49  abstract

Exact Estimation of the Deviation of Rogozinskii Sums in Terms
of the Second Modulus of Continuity in the Space of Continuous Periodic Functions

O. L. Vinogradov p. 53  abstract

Branching of Solutions in a Complex Domain from the Point of View
of Symbolic Dynamics and Nonintegrability of Many-dimensional Systems

S. A. Dovbysh p. 56  abstract

Optimal Two-Stage Schemes for Stiff Systems

N. N. Kalitkin and S. L. Panchenko p. 60  abstract

Systems of Inhomogeneous Convolution Equations in Convex Domains of

A. S. Krivosheev p. 64  abstract

Stable Conjugation Invariants of Hamiltonian Systems on Two-Dimensional Surfaces

E. A. Kudryavtseva p. 67  abstract

Turan Determinant for Orthogonal Polynomials
with Asymptotically Periodic Recurrence Coefficients

B. P. Osilenker p. 71  abstract

Difference Schemes for the Conjugation Problem of a Hyperbolic
and a Parabolic Equation on Moving Grids

A. A. Samarskii, V. I. Korzyuk, S. V. Lemeshevskii, and P. P. Matus p. 74  abstract

Discrete Extensions of Lanner Groups

D. A. Derevnin and A. D. Mednykh p. 78  abstract

Representation of Functions and Sets with the Use
of Singularly Perturbed Differential and Operator-Differential Equations

M. I. Imanaliev, Yu. A. Ved’, and P. S. Pankov p. 81  abstract

Dual Morrey Spaces

E. A. Kalita p. 85  abstract

Modeling of Solutions to the Heat Equation and to the Stefan Problem
with Reducing the Dimension

M. F. Prokhorova p. 88  abstract

Noether Theorems for Infinite-Dimensional Variational Problems

H. von Weizsäcker and O. G. Smolyanov p. 91  abstract

On the Homogenization of the Elasticity System in a Perforated Domain
with Boundary Conditions of the Type of Reactions on Cavity Boundaries

G. A. Iosif’yan p. 95  abstract

Principles of the Theory of Stability of Classes of Harmonic Maps

A. P. Kopylov p. 99  abstract

Monge–Ampere Equations and e-Structures

A. G. Kushner p. 103  abstract

Net Spaces and Fourier Transforms

E. D. Nursultanov p. 105  abstract

On the Convergence of the Arrow–Hurwicz Algorithm
for Algebraic Systems of the Stokes Type

E. V. Chizhonkov p. 108  abstract

Classification of Multidimensional Petrovskii Elliptic Systems
of Second-Order Partial Differential Equations

A. I. Yanushauskas p. 111  abstract

Some Methods for Quantizing Finite-Dimensional Hamiltonian Systems with Constraints

S. Albeverio, O. G. Smolyanov, and E. T. Shavgulidze p. 114  abstract

Generalized B-Splines in Tension of Arbitrary Order

B. I. Kvasov p. 118  abstract

Well-Posedness of the Cauchy Problem for Inclusions in Banach Spaces

I. V. Mel’nikova and A. V. Gladchenko p. 123  abstract

Hierarchy of Invariant Submodels of Differential Equations

L. V. Ovsyannikov p. 127  abstract

Optimization of the Norm of the Error Functional for the Lattice Cubature Formula
in the Scale of Wiener Spaces

M. D. Ramazanov p. 130  abstract

Stability of Vector Additive Schemes

A. A. Samarskii, P. N. Vabishchevich, and P. P. Matus p. 133  abstract

Mathematical Physics

Comparison of Two Mathematical Models in Radiative Transfer Theory

D. S. Anikonov p. 136  abstract

Asymptotic Solution to the Schrödinger Equation for Spin Systems

V. P. Maslov and O. Yu. Shvedov p. 139  abstract

Construction and Asymptotic Properties of the Fundamental Solution
to the Cauchy Problem for the Linear One-Velocity Boltzmann Equation for an Isotropic Medium

Yu. B. Ianushanets p. 144  abstract

Unique Solvability of the Dirichlét Problem for the Ion-Sound Wave Equation in Plasma

A. B. Al’shin, Yu. D. Pletner, and A. G. Sveshnikov p. 148  abstract

p-Adic Dynamic Systems: Description of Competition
in Biological Population of Limited Growth

A. Yu. Khrennikov p. 151  abstract

Computer Science

Metrization of the Boolean Algebra of Propositions
and the Informativeness of Expert Statements

A. A. Vikent’ev and G. S. Lbov p. 154  abstract

Optimal Solution in Classification Problems

N. G. Startseva p. 157  abstract

Diagnosability Criteria for Bilinear Sequential Machines

R. G. Faradzhev, A. T. Nagiev, and I. N. Guseinov p. 160  abstract

Control Theory

Robust Inversion of Controllable Linear Systems

S. K. Korovin, A. V. Il’in, and V. V. Fomichev p. 162  abstract

Universal Regulators for Optimal Signal Tracking in Linear Discrete Systems

A. Lindquist and V. A. Yakubovich p. 165  abstract

A Quadratic Criterion for Absolute Stability

V. A. Yakubovich p. 169  abstract

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