Contents
Doklady Mathematics


Vol. 78, No. 3, 2008

English language translation of the journal is available from Pleiades Publishing, Ltd.
Distributed worldwide by Springer. Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 423, Nos. 1–6, 2008


Volume 78, November–December.

Mathematics

On Clifford–Wolf Homogeneous Riemannian Manifolds

V. N. Berestovskii and Yu. G. Nikonorov p. 807  abstract

Inverse Spectral Problems for a Class of Pentadiagonal Unitary Matrices

L. B. Golinskii and M. A. Kudryavtsev p. 811  abstract

Rearrangement Invariant Envelopes of Generalized Bessel and Riesz Potentials

M. L. Goldman p. 814  abstract

An Invariant of a Pair of Symmetric Operators and the Spectra of Nonsemibounded
Sturm–Liouville Vector Operators

R. S. Ismagilov and A. G. Kostyuchenko p. 819  abstract

Modified Prony Algorithm for an Inhomogeneous Linear Ordinary Differential
Equation with Constant Coefficients

L. S. Maergoiz p. 822  abstract

Automorphisms of Coverings of the Strongly Regular Graph with Parameters (81, 20, 1, 6)

A. A. Makhnev and D. V. Paduchikh p. 825  abstract

On Automorphisms of a Generalized Octagon of Order (2, 4)

I. N. Belousov and A. A. Makhnev p. 829  abstract

Continued Fractions and S-Units in Function Fields

V. V. Benyash-Krivets and V. P. Platonov p. 833  abstract

Monte Carlo Algorithms for Reconstructing the Scattering Phase Function
with Allowance for Polarization

G. A. Mikhailov, S. A. Ukhinov, and A. S. Chimaeva p. 839  abstract

On the Hardy Inequality with Measures

D. V. Prokhorov p. 843  abstract

Algebraic Aspect of the Discrete Maximum Principle

V. V. Smelov p. 846  abstract

Initial–Boundary Value Problem for the Volterra Lattice on a Half-Line
with Zero Boundary Condition

Ag. Kh. Khanmamedov p. 848  abstract

Sets Generated by the Genetic Code

N. N. Kozlov p. 851  abstract

Dunkl Operators as Convolutions

V. V. Napalkov and V. V. Napalkov, Jr. p. 856  abstract

Constrained Optimal Routing

A. G. Chentsov p. 859  abstract

A Weak Generalized Localization Criterion for Multiple Fourier Series
Whose Rectangular Partial Sums Are Considered over a Subsequence

I. L. Bloshanskii and O. V. Lifantseva p. 864  abstract

Asymptotic Forms of Solutions to the Fourth Painlevé Equation

A. D. Bruno and I. V. Goryuchkina p. 868  abstract

A Method for Solving the Cauchy Problem for the Laplace Equation

T. Sh. Kal’menov and U. A. Iskakova p. 874  abstract

On Stieltjes Differentials on Geometric Graphs

Yu. V. Pokornyi, M. B. Zvereva, and Zh. I. Bakhtina p. 877  abstract

Hypergeometric Systems of Equations with Maximally Reducible Monodromy

T. M. Sadykov p. 880  abstract

First-Order Differential Equations with Variable Domains of Piecewise
Smooth Operator Coefficients

K. V. Vasilevsky and F. E. Lomovtsev p. 883  abstract

On Geometry of Second-Order Parabolic Equations in Two Independent Variables

A. M. Vinogradov p. 887  abstract

On Regularity of Mappings Inverse to Sobolev Mappings

S. K. Vodop’yanov p. 891  abstract

Solvability of Generalized Navier–Stokes Equations

V. V. Zhikov p. 896  abstract

An Area Formula for Lipschitz Mappings of Carnot–Carathéodory Spaces

M. B. Karmanova p. 901  abstract

Transformation of Hyperbolic Monge–Ampére Equations into Linear Equations
with Constant Coefficients

A. G. Kushner p. 907  abstract

The Dimension of the Variety of Conjugate-Normal Matrices

M. Ghasemi Kamalvand and Kh. D. Ikramov p. 910  abstract

Determination of the Structure of the Spectrum of Regular Boundary Value Problems
for Differential Equations by V.A. Il’in’s Method of Anti–A Priori Estimates

T. Sh. Kal’menov and D. Suragan p. 913  abstract

Exact Expressions for Moments of Ladder Heights

S. V. Nagaev p. 916  abstract

Integral Operator Inverting the Initial–Boundary Value Problem
for a Hyperbolic Equation on a Geometric Graph

V. L. Pryadiev p. 920  abstract

On the Simple Substitution Property for Superintuitionistic and Modal Propositional Logics

V. I. Khomich p. 923  abstract


Mathematical Physics

Variational Principle in Hamiltonian Mechanics

L. V. Prokhorov and A. S. Ushakov p. 925  abstract

An Approach to Deriving Stochastic Gas Dynamics Models

S. V. Bogomolov p. 929  abstract


Computer Science

Gasdynamic and Aeroacoustic Simulations on the MBC-100M Supercomputer

G. I. Savin, B. N. Chetverushkin, A. V. Gorobets, T. K. Kozubskaya,
S. A. Sukov, O. I. Vdovikin, and B. M. Shabanov
p. 932  abstract

Algebraic Closures of a Generalized Model of Estimation Algorithms

A. G. D’yakonov p. 936  abstract


Control Theory

Minimum Dimension of a Functional Observer with a Given Convergence Rate

S. K. Korovin, I. S. Medvedev, and V. V. Fomichev p. 940  abstract

Simultaneous Stabilization of Arbitrary-Order Linear Objects by a Controller
with a Given Structure

S. K. Korovin, A. V. Kudritskii, and A. S. Fursov p. 944  abstract

Quantum System Control Optimization

V. F. Krotov p. 949  abstract

Incentive Equilibrium in Discrete-Time Bioresource Sharing Model

V. V. Mazalov and A. N. Rettieva p. 953  abstract

The Problem of Absolute Invariance of a Linear Discrete-Time Control System

A. V. Proskurnikov and V. A. Yakubovich p. 956  abstract

Yet Another Step Toward the Uniqueness of Solutions of Game Problems

E. R. Smol’yakov p. 961  abstract


Errata

Erratum:“Unique Determination of Domains by the Condition of Local Isometry
of Boundaries in the Relative Metrics” [Doklady Mathematics 78 (2), 746 (2008)]

A. P. Kopylov p. 966


Author Index to Volume 77, 2008 p. 967

Author Index to Volume 78, 2008 p. 969

Contents of Volumes 77 and 78, 2008 p. 971


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