Contents
Doklady Mathematics

Vol. 76, No. 2, 2007

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 416, Nos. 1–6, 2007

Volume 76, September–October.

Mathematics

Power Sums of Nonlinear Systems of Equations

V. I. Bykov, A. M. Kytmanov, and S. G. Myslivets p. 641  abstract

Asymptotics for Two-Dimensional Farey–Brocot Nets

M. Vielhaber and N. G. Moshchevitin p. 645  abstract

On Morse–Smale Diffeomorphisms on Manifolds of Dimension Higher than Three

V. Z. Grines and E. Ya. Gurevich p. 649  abstract

Generalized Subdifferentials and Exhausters in Nonsmooth Analysis

V. F. Dem’yanov and V. A. Roshchina p. 652  abstract

A Necessary Condition for an Extremum on a Stratified Set

S. N. Oshchepkova and O. M. Penkin p. 656  abstract

The Hardy Space of Solutions to First-Order Elliptic Systems

A. P. Soldatov p. 660  abstract

Covering Mappings in Metric Spaces and Fixed Points

A. V. Arutyunov p. 665  abstract

On Differential and Difference Fredholm Operators

A. G. Baskakov p. 669  abstract

Iterated Differential Forms: The _k – 1-Spectral Sequence on Infinite Jets

A. M. Vinogradov and L. Vitagliano p. 673  abstract

The Stability of Motions of Hereditary Systems with Infinite Delay

S. V. Pavlikov p. 678  abstract

General Algorithm for the Numerical Integration of Periodic Functions
of Several Variables

N. Temirgaliev, E. A. Bailov, and A. Zh. Zhubanisheva p. 681  abstract

Automorphisms of Prime Order Almost Regular in the Sense of Rank

E. I. Khukhro p. 686  abstract

Two-Sided Complexity Bounds for Löbell Manifolds

A. Yu. Vesnin, S. V. Matveev, and C. Petronio p. 689  abstract

Iterated Differential Forms: _k–1 -Spectral Sequence
on Infinitely Prolonged Equations

A. M. Vinogradov and L. Vitagliano p. 692  abstract

Statistical Properties of Billiards in Polytopes

V. V. Kozlov p. 696  abstract

An Identification Method for Nonlinear Operators

M. E. Mazurov p. 700  abstract

Trace Formulas for the Sturm–Liouville Operator with Regular Boundary Conditions

A. S. Makin p. 702  abstract

A System of Nonlinear Evolution Schrödinger Equations

Sh. M. Nasibov p. 708  abstract

Inverse Problems for the Wave Equation with an Impulse Source
of Unknown Form

V. G. Romanov p. 713  abstract

Ultrasecondary Quantization of Fermions at Nonzero Temperature

G. V. Koval’ and V. P. Maslov p. 718  abstract

Necessary and Sufficient Conditions for the Unique Determination
of Plane Domains

M. V. Korobkov p. 722  abstract

Spectral Problems for the Curl and Stokes Operators

R. S. Saks p. 724  abstract

Exotic Expansions of Solutions to an Ordinary Differential Equation

A. D. Bruno p. 729  abstract

A Family of Monotone Methods for the Numerical Solution
of Three-Dimensional Diffusion Problems
on Unstructured Tetrahedral Meshes

I. V. Kapyrin p. 734  abstract

Countable Structures -Definable over Classical Continuous Number Systems

A. S. Morozov and M. V. Korovina p. 739  abstract

Nonlocal Problem with a First-Kind Integral Condition
for a Multidimensional Hyperbolic Equation

L. S. Pul’kina p. 741  abstract

Branch Points of Eigenvalues of the Orr–Sommerfeld Operator

S. L. Skorokhodov p. 744  abstract

A Quadrature Phase Transition

V. A. Bykovskii and M. A. Romanov p. 750  abstract

F-Algebras of Holomorphic Functions in a Half-Plane Defined
by Maximal Functions

D. A. Efimov p. 755  abstract

Graphs in Which the Neighborhoods of All Vertices Are Clique Extensions of Grids

N. D. Zyulyarkina, A. A. Makhnev, and D. V. Paduchikh p. 758  abstract

The Asymptotic Behavior of the Spectrum Trace Formulas for Differential Operators
with Unbounded Coefficients

Kh. Kh. Murtazin, V. A. Sadovnichii, and R. Z. Tul’kubaev p. 762  abstract

The Fundamental Operator Functions of Degenerate Heat Equations in Banach Spaces

M. V. Falaleev p. 767  abstract

Mathematical Physics

Diffusion Processes in Phase Spaces and Quantum Mechanics

E. M. Beniaminov p. 771  abstract

Semiclassical Soliton-Type Solutions of the Hartree Equation

V. V. Belov, M. F. Kondrat’eva, and E. I. Smirnova p. 775  abstract

Gyroscopic Stabilization in the Presence of Nonconservative Forces

O. N. Kirillov p. 780  abstract

Computer Science

On Piecewise-Constant Discretization in the Finite Interval Method

S. G. Solodky and E. V. Lebedeva p. 786  abstract

On Metric Properties of Spaces in Classification Problems

K. V. Rudakov, A. A. Cherepnin, and Yu. V. Chekhovich p. 790  abstract

Control Theory

Optimal Robust Output Control

D. V. Balandin and M. M. Kogan p. 794  abstract

Uniqueness and Stability in Coefficient Identification Problems
for a Stationary Model of Mass Transfer

G. V. Alekseev p. 797  abstract

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