Contents
Doklady Mathematics

Vol. 81, No. 3, 2010

A simultaneous English language translation of this journal is available from Pleiades Publishing, Ltd.
Distributed worldwide by Springer. Doklady Mathematics ISSN 1064-5624.

Translated from Doklady Akademii Nauk, Volume 432, Nos. 1–6, 2010

Volume 81, May–June.

Mathematics

On the Eigenvalue of the Laplacian in a Domain Perforated along the Boundary

R. R. Gadyl’shin, Yu. O. Koroleva, and G. A. Chechkin p. 337  abstract

Schrödinger Operators with '-Interactions and the Krein–Stieltjes String

A. S. Kostenko and M. M. Malamud p. 342  abstract

Asymptotics of the Spectrum of a Singular Nonsemibounded Fourth-Order Vector
Differential Operator in a Vector Function Space

O. V. Myakinova and Ya. T. Sultanaev p. 348  abstract

Polynomial Normal Form and Finitely Smooth Equivalence of Autonomous Systems
with One Zero Eigenvalue

V. S. Samovol p. 351  abstract

On Solution Existence for the Perturbed Degenerate Optimization Problem
with Equality Constraints: p-Order Stability Condition

A. A. Tret’yakov p. 354  abstract

On the Convergence of a Formal Solution to an Ordinary Differential Equation

A. D. Bruno and I. V. Goryuchkina p. 358  abstract

Classification of Certain Types of Underdetermined Systems of Ordinary Differential Equations

V. I. Elkin p. 362  abstract

Ambiguity in Sets Generated by the Genetic Code

N. N. Kozlov p. 364  abstract

On the Kato–Rosenblum and Weyl–von Neumann Theorems

M. M. Malamud and H. Neidhardt p. 368  abstract

Structurable Superalgebras of Cartan Type

A. P. Pozhidaev and I. P. Shestakov p. 373  abstract

On the Chromatic Numbers of Spheres in Euclidean Spaces

A. M. Raigorodskii p. 379  abstract

Finitely Strictly Singular Embeddings

E. M. Semenov p. 383  abstract

Nearly Kähler and Hermitian f-Structures on Homogeneous k-Symmetric Spaces

V. V. Balashchenko and A. S. Samsonov p. 386  abstract

On a Problem of Hardy for Walsh–Fourier Series

S. V. Bochkarev p. 390  abstract

Left-Invariant Riemannian Metrics on Four-Dimensional Nonunimodular Lie Groups
with Zero-Divergence Weyl Tensor

D. S. Voronov and E. D. Rodionov p.392  abstract

Mathematical Models of Moving Particles without Overtaking

A. H. Hajiyev, Hh. A. Djafarova, and T. Sh. Mamedov p. 395  abstract

Incentive Conditions for Rational Behavior
in Discrete-Time Bioresource Management Problem

V. V. Mazalov and A. N. Rettieva p. 399  abstract

Dirichlet Problem for Holomorphic Functions in Generalized Hölder Spaces

V. V. Napalkov and A. Yu. Timofeev p. 403  abstract

Growth of Power-Free Languages: Numerical and Asymptotic Bounds

A. M. Shur p. 406  abstract

An Inverse Problem for Sturm-Liouville Operators on Arbitrary Compact Spatial Networks

V. A. Yurko p. 410  abstract

Estimates for Norms of Discrete Stochastic Integrals

P. A. Yas’kov p. 414  abstract

Pontryagin’s Maximum Principle for Optimal Impulsive Control Problems

A. V. Arutyunov, D. Yu. Karamzin, and F. Pereira p. 418  abstract

Non Uniform Averagings in the Ergodic Theorem for Stochastic Flows

V. I. Bogachev, A. V. Korolev, and A. Yu. Pilipenko p. 422  abstract

On Widths of Classes of Analytic Functions on the Disk in Weight Banach Spaces

S. B. Vakarchuk and M. Sh. Shabozov p. 426  abstract

On the Basis Property of the Eigenfunctions of the Frankl Problem
with Nonlocal Evenness and Oddness Conditions of the Second Kind

E. I. Moiseev and V. E. Ambartsumyan p. 429  abstract

Solution of the Cauchy Problem for the Semi-infinite Toda Lattice
in the Class of Hilbert–Schmidt Operators

Ag. Kh. Khanmamedov p. 434  abstract

Solvability of Equations Describing Waves of Minimum Smoothness

R. V. Shamin p. 436  abstract

On Automorphisms of Distance-Regular Graphs with Intersection Array {56, 45, 1; 1, 9, 56}

A. L. Gavrilyuk and A. A. Makhnev p. 439  abstract

On the Spectrum of an Irregular Sturm–Liouville Problem

A. S. Makin p. 443  abstract

Mean Value Formula for Harmonic Functions on a Circular Sector

T. E. Moiseev p. 447  abstract

Abel and Cauchy–Hadamard Theorems for Series of Exponential Monomials

V. V. Napalkov and O. A. Krivosheeva p. 449  abstract

On an Iterative Method with Boundary Condition Splitting
as Applied to the Dirichlet Initial–Boundary Value Problem for the Stokes System

B. V. Pal’tsev p. 452  abstract

Local Finite Basis Property and Local Representability for Varieties of Associative Rings

A. Ya. Belov p. 458  abstract

On the Convergence Rate of an Iterative Method for the Linearized Navier–Stokes Equations

M. E. Bogovskii p. 462  abstract

Extension of the Liouville and Skoruppa Arithmetic Identities

V. A. Bykovskii p.465  abstract

Solvability of Boundary Value Problems with the Nonlocal Bitsadze–Samarskii Condition
for Linear Hyperbolic Equations

A. I. Kozhanov p. 467  abstract

On Numerical Implementations of a New Iterative Method with Boundary Condition Splitting
for the Nonstationary Stokes Problem

M. B. Solov’ev p. 471  abstract

Mathematical Physics

Infinite-Dimensional Equation Liouville with Respect to Measures

V. V. Kozlov and O. G. Smolyanov p. 476  abstract

Maslov Parastatistic Distribution and Entropy Formula in Dimensions Less Than Three

I. A. Molotkov p. 481  abstract

Computer Science

Generalized Interval Expert Estimates in Decision Making

M. Yu. Sternin and G. I. Shepelev p. 485  abstract

Properties of a Choice Function Generated by a Binary Relation on Convex Subsets

N. S. Kukushkin p. 487  abstract

On Constructive and Well-Behaved Classes of Algebraic -Algorithms

Z. M. Shibzukhov p. 490  abstract

Weight Voting Systems and the Method of Multirelations

V. S. Levchenkov p. 493  abstract

Metrics in Scheduling Problems

A. A. Lazarev and A. G. Kvaratskheliya p. 497  abstract

Solution of the Dependence Estimation Problem Using Groups of Recognition Algorithms

V. V. Ryazanov and Yu. I. Tkachev p.500  abstract

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