Contents
Doklady Mathematics

Vol. 84, No. 2, 2011

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 440, Nos. 1–6, 2011

Volume 84, September–October.

Mathematics

On the Existence of an Energy Function for Morse–Smale Diffeomorphisms on 3-Manifolds

V. Z. Grines, F. Laudenbach, and O. V. Pochinka p. 601  abstract

Morse–Smale Systems with Three Nonwandering Points

E. V. Zhuzhoma and V. S. Medvedev p. 604  abstract

Implicit Operator Theorems under Group Symmetry Conditions

B. V. Loginov, I. V. Konopleva, and Yu. B. Rousak p. 607  abstract

The Problem of Determining the Kernel of Electrodynamics Equations for Dispersion Media

V. G. Romanov p. 613  abstract

Regularity of Solutions of Boundary-Value Problems for High-Order Parabolic Equations
in Weighted Hölder Spaces

M. F. Cherepova p. 617  abstract

Extremal Periodic Solutions of Differential Equations with Generalized Lipschitz Condition

A. A. Zevin p. 620  abstract

On Automorphisms of Semitriangular Graphs with = 8

N. D. Zyulyarkina and A. A. Makhnev p. 625  abstract

Boundary Control Optimization for the Vibrations of a Rod Consisting
of Two Different Segments

V. A. Il’in p. 629  abstract

Asymptotic Solution of an Algebraic Equation

A. D. Bruno and A. B. Batkhin p. 634  abstract

Mappings of Finite Codistortion and Sobolev Classes of Functions

S. K. Vodopyanov p. 640  abstract

Projectors of Finite Soluble Groups: Reduction to Subgroups of Prefrattini Type

S. F. Kamornikov and L. A. Shemetkov p. 645  abstract

A Two-Dimensional Inverse Problem of Viscoelasticity

V. G. Romanov p. 649  abstract

Gaussian Distributions in the Sense of Bernstein on Locally Compact Abelian Groups

G. M. Feldman p. 653  abstract

Geometry of Wave Functions

Yu. A. Aminov p. 656  abstract

Integral Geometry, Hypergroups, and Gelfand’s Question

M. I. Graev and G. L. Litvinov p. 660  abstract

Asymptotic Expansion of Solutions to Optimal Boundary Control Problems

A. R. Danilin and A. P. Zorin p. 665  abstract

Entropy Characteristics of Macrosystems with Nonlinear Pair Interactions

Yu. A. Pykh p. 669  abstract

Behavior of Sequences of Norms of Primitives of Functions Depending on Their Spectrum

H. H. Bang and V. N. Huy p. 672  abstract

Structural Improvements of Nonuniform Convergence Rate Estimates
in the Central Limit Theorem with Applications to Poisson Random Sums

Yu. S. Nefedova and I. G. Shevtsova p. 675  abstract

Shape Sensitivity Analysis of Energy Integrals for Bodies with Rigid Inclusions and Cracks

P. I. Plotnikov and E. M. Rudoy p. 681  abstract

Essential Spectrum of Pseudodifferential Operators with Operator-Valued Symbols

V. S. Rabinovich p. 685  abstract

Hamiltonian Feynman Formulas for Equations Containing the Vladimirov Operator
with Variable Coefficients

O. G. Smolyanov and N. N. Shamarov p. 689  abstract

On Singular Perturbations of a Steklov-Type Problem
with Asymptotically Degenerate Spectrum

A. G. Chechkina p. 695  abstract

Extension of Pauli’s Theorem to Clifford Algebras

D. S. Shirokov p. 699  abstract

Convergence of Difference Schemes for the Large-Scale Ocean Dynamics Equations

A. V. Drutsa and G. M. Kobelkov p. 702  abstract

Optimization of Elasticity-Induced Boundary Control for the Vibrations
of a Rod Consisting of Two Different Segments

V. A. Il’in p. 706  abstract

Convergence of Scaled Vector Fields and Local Approximation Theorem
on Carnot–Carathéodory Spaces and Applications

M. B. Karmanova p. 711  abstract

On Automorphisms of Strongly Regular Graphs with Parameters (640, 243, 66, 108)

A. A. Makhnev and M. S. Nirova p. 718  abstract

Classification of Morse–Smale Diffeomorphisms on 3-Manifolds

O. V. Pochinka p. 722  abstract

Mathematical Physics

Replica Procedure for Probabilistic Algorithms as a Model of Gene Duplication

S. V. Kozyrev and A. Yu. Khrennikov p. 726  abstract

Nonlinear Diffusion Equation and Liesegang Rings

A. M. Il’in and B. A. Markov p. 730  abstract

Perturbation of an Eigenvalue in the Continuous Spectrum of a Waveguide
with an Asymmetric Obstacle

S. A. Nazarov p. 734  abstract

Computer Science

Unique Determination of Vocal Tract Resonance Frequencies from a Speech Signal

A. S. Leonov and V. N. Sorokin p. 740  abstract

A Model of Deformable Clusters for Analyzing the Dynamics of Economic Data

Yu. I. Dimitrienko and O. Yu. Dimitrienko p. 743  abstract

Monotone High-Order Accurate Compact Scheme for Quasilinear Hyperbolic Equations

B. V. Rogov and M. N. Mikhailovskaya p. 747  abstract

A Performance Estimator for Digital Image Processing Algorithms

P. P. Koltsov p. 753  abstract

A General Approach to the Theory of Conflict Problems with Collateral Interests of Participants

E. R. Smol’yakov p. 756  abstract

Control Theory

Frequency Oscillations Estimates for Digital Phase-Locked Loops

G. A. Leonov and A. A. Fyodorov p. 761  abstract

ERRATA

Erratum: “Uniqueness of Polyhedral Domains and p-Moduli of Path Families”
[Doklady Mathematics 83, 321 (2011)]

A. P. Kopylov p.765

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