Contents
Doklady Mathematics

Vol. 61, No. 2, 2000

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

Translated from Doklady Akademii Nauk, Volume 371, Nos. 1–6, 2000

Volume 61, March–April.

Mathematics

Extremal Control Functions in the Löwner Equation in the Rotation Theorem

I. A. Aleksandrov and A. I. Aleksandrov p. 155  abstract

Second-Order Necessary Conditions in Optimal Control Problems

A. V. Arutyunov p. 158  abstract

Probabilities of Large Deviations for Random Walks with a Regular Distribution of Jumps

A. A. Borovkov and K. A. Borovkov p. 162  abstract

Inequalities for Orthogonal Series and a Strengthening of Carleman’s and Orlicz’s Theorems

S. V. Bochkarev p. 165  abstract

Realization of Unitary Transformations Generating the Bogolyubov Transformations
in Spaces of the Wiener–Segal–Fock Type

I. Kupsch and O. G. Smolyanov p. 169  abstract

Stability and Regularization of Three-Layer Difference Schemes
with Unbounded Operator Coefficients in a Banach Space

A. A. Samarskii, I. P. Gavrilyuk, and V. L. Makarov p. 174  abstract

A Solution of the Goncharov–Ash Problem and the Spectrum Problem
in the Theory of Computable Models

B. Khusainov and R. A. Shore p. 178  abstract

Characterization of Classes of Ultradifferentiable Functions Admitting
an Analogue of the Whitney Extension Theorem

A. V. Abanin p. 180  abstract

One Perturbed Problem of Integral Geometry in the Three-Dimensional Space

Akbar Kh. Begmatov p. 184  abstract

Kolmogorov’s Third Equation for a Branching Process with Interaction of Particles

A. V. Kalinkin p. 188  abstract

Minimax Solution of Hamilton–Jacobi Equations for Hereditary Systems

N. Yu. Lukoyanov p. 192  abstract

Expansion of Quantum Quadratic Stochastic Processes

F. M. Mukhamedov p. 195  abstract

Generalized Functionally Invariant Solutions to the Elasticity Equation

E. V. Nikol’skii p. 198  abstract

Construction of Phase Spaces and Solutions of Linear Equations Unresolved
with Respect to Derivatives

A. G. Baskakov and K. I. Chernyshov p. 203  abstract

Elliptic Problems with Jumps in Coefficients and Asymptotically Optimal Algorithms
for Their Approximate Solution

E. G. D’yakonov p. 207  abstract

Solution of the Hilbert Central Problem Following Kolmogorov

A. S. Kuzichev p. 212  abstract

Quantum Integrability of the Laplace–Beltrami Operator for Geodesically Equivalent Metrics

V. S. Matveev p. 216  abstract

A Class of Singular Differential Equations

L. G. Mikhailov p. 220  abstract

A Modification of the Methods of Local Regularization and Suboptimal Filtering
for Solving Equations of the First Kind

V. S. Sizikov p. 224  abstract

On a Rational Procedure for Verifying Whether a Given Pair
of Matrices Has a Common Two-Dimensional Invariant Subspace

Yu. A. Al’pin and Kh. D. Ikramov p. 227  abstract

Diffusion on Compact Riemannian Manifolds and Surface Measures

H. von Weizsäcker, O. G. Smolyanov, and O. Wittich p. 230  abstract

Subspaces Defined by Pseudodifferential Projections and Their Applications

A. Yu. Savin and B. Yu. Sternin p. 235  abstract

The Sum of the Eigenspaces of a Matrix Can Be Found by Rational Computation

Yu. A. Al’pin and Kh. D. Ikramov p. 239  abstract

Formulas in the Inverse Problem for the Kinetic Equation and Integral Geometry

Yu. E. Anikonov p. 241  abstract

The Meromorphic Reducibility of a Linear Triangular ODE System

A. D. Bruno p. 243  abstract

Nonexistence of Integer Solutions to Quasilinear Elliptic Equations

A. G. Kartsatos and V. V. Kurta p. 247  abstract

Reducibility of a Nonnegative-Hamiltonian Periodic Operator-Function Acting
in a Real Hilbert Space to a Block-Diagonal Form

G. A. Kurina and G. V. Martynenko p. 250  abstract

On the Problem of Stability of Motion

A. I. Propoi p. 253  abstract

The Borsuk Problem for (0, 1)-Polyhedra and Cross-Polytopes

A. M. Raigorodskii p. 256  abstract

Classes of Functions Univalent with Weight

I. I. Bavrin p. 260  abstract

About the Problem of Smoothness of Functions Whose Fourier–Walsh Series
Diverge Almost Everywhere

S. V. Bochkarev p. 263  abstract

Some New Types of Strengthened Sobolev Spaces and Their Applications
in the Theory of Time-Dependent Problems

E. G. D’yakonov p. 267  abstract

On the Construction of Lyapunov Functions

A. I. Propoi p. 272  abstract

Monotone Difference Schemes on Triangular Grids

A. A. Samarskii and P. N. Vabishchevich p. 275  abstract

About Analytical Dependence on Parameters of Solutions
of Boundary Value Problems for Systems of Partial Differential Equations

E. G. Shifrin p. 280  abstract

Mathematical Physics

Allowance for Types of Pollutant Sources and for Zones of Pollutant Deposition

O. M. Babeshko, O. V. Evdokimova, and S. M. Evdokimov p. 283  abstract

Iterative Processes of the Gauss–Newton Type for Ill-Posed Operator Equations

V. V. Vasin and A. A. Mokrushin p. 286  abstract

The Variational Principle for the Nonlinear Heat Equation

A. S. Pleshanov p. 289  abstract

Some Mathematical Models of Tomography for Singular States of Media

D. S. Anikonov and I. V. Prokhorov p. 293  abstract

Control Theory

Noncooperative Generalized Pareto Equilibrium in Differential Games

E. R. Smol’yakov p. 298  abstract

Functional Equations of the Hamilton–Jacobi Type and Differential Games
with Hereditary Information

N. Yu. Lukoyanov p. 301  abstract

A Local Analogue of the Popov Frequency Criterion for the Absolute Stability
of a Nonlinear System

V. A. Yakubovich and D. V. Yakubovich p. 305  abstract

An Iterative Relaxation Method for Approximately Optimal Synthesis of Controllers

V. N. Sizykh p. 309  abstract

Computer Science

Choice of a System of Supporting Sets for Effective Implementation
of Recognition Algorithms for Calculating Estimates

A. G. D’yakonov p. 312  abstract

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