Contents
Doklady Mathematics

Vol. 76, No. 3, 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 417, Nos. 1–6, 2007

Volume 76, November–December.

Mathematics

Classical and Nonclassical Levy Laplacians

L. Accardi and O. G. Smolyanov p. 801  abstract

Optimization of a Boundary Control by a Displacement at One End of a String
with Second End Free during an Arbitrary Sufficiently Large Time Interval

V. A. Il’in and E. I. Moiseev p. 806  abstract

On the Construction of a Matrix-Valued Lyapunov Function
for a Linear Periodic System on a Time Scale

A. A. Martynyuk and V. I. Slyn’ko p. 812  abstract

Optimality of Euler’s Elasticae

Yu. L. Sachkov p. 817  abstract

On the Regularity Problem in Terwilliger Graphs

A. L. Gavrilyuk and A. A. Makhnev p. 820  abstract

Bounds for Solutions of the Cauchy Problem for an Anisotropic Degenerate Doubly
Nonlinear Parabolic Equation with Growing Initial Data

S. P. Degtyarev and A. F. Tedeev p. 824  abstract

Optimization of Boundary Controls by Displacements at Two Ends
of a String during an Arbitrary Sufficiently Large Time Interval

V. A. Il’in and E. I. Moiseev p. 828  abstract

Essential Spectra of Pseudodifferential Operators in Sobolev Spaces
with Variable Smoothness and Variable Lebesgue Indices

V. S. Rabinovich and S. G. Samko p. 835  abstract

Separation of Variables for a Pair of Integrable Systems on so*(4)

A. V. Tsiganov p. 839  abstract

Multiplicative Structure of a Polynomial Matrix Depending on Its Elementary Divisors

B. Z. Shavarovskii p. 843  abstract

Functions Star- and Convex-Univalent of Order with Weight

I. I. Bavrin p. 848  abstract

All Asymptotic Expansions of Solutions to the Sixth Painlevé Equation

A. D. Bruno and I. V. Goryuchkina p. 851  abstract

Trajectory Attractor for the 2d Dissipative Euler Equations
and Its Relation to the Navier–Stokes System with Vanishing Viscosity

M. I. Vishik and V. V. Chepyzhov p. 856  abstract

Optimization of a Control by an Elastic Boundary Force during an Arbitrary Sufficiently
Large Time Interval T at One End of a String with Second End Free

V. A. Il’in and E. I. Moiseev p. 861  abstract

A Projective Geometry of Lie Algebras

A. A. Lashkhi p. 866  abstract

Vortex Singularities of Optimal Strategies at the Beginning of a Motion
in Search Problems on n-Manifolds

L. V. Lokutsievskii p. 869  abstract

Formula for the Laplace Transform of the Projection of a Distribution
on the Positive Half-Line and Some of Its Applications

S. V. Nagaev p. 872  abstract

Matrix Integral Fourier Transforms for Problems with Discontinuous
Coefficients and Transformation Operators

O. E. Yaremko p. 876  abstract

Derivation of the General Macroeconomic Dynamics Equation Describing
the Joint Interaction of Long-Term Growth and Business Cycles

A. A. Akaev p. 879  abstract

Exterior Axisymmetric Neumann Problem for the Laplace Equation:
Numerical Algorithms without Saturation

V. N. Belykh p. 882  abstract

Groups of S-units in Hyperelliptic Fields

V. V. Benyash-Krivets and V. P. Platonov p. 886  abstract

Unbounded Perturbations of Two-Dimensional Diffusion Processes
with Nonlocal Boundary Conditions

P. L. Gurevich p. 891  abstract

Optimization of Boundary Controls by Elastic Boundary Forces
at Two Ends of a String during an Arbitrary Sufficiently Large Time Interval T

V. A. Il’in and E. I. Moiseev p. 896  abstract

Independent Linear Statistics on a-Adic Solenoids

G. M. Feldman p. 904  abstract

A Coarea Formula for Smooth Contact Mappings of Carnot Manifolds

S. K. Vodop’yanov and M. B. Karmanova p. 908  abstract

A Theorem on Values of Roots and Coefficients

Yu. L. Ershov p. 913  abstract

Schlömilch Polynomials: Riesz’s Interpolation Formula for B-Derivatives
and Bernstein’s Inequality for Weyl–Marchaud Fractional B-Derivatives

L. N. Lyakhov and E. L. Sanina p. 916  abstract

Local Approximations by Solutions of Second-Order Elliptic Equations
and Removable Singularities

A. V. Pokrovskii p. 921  abstract

A Characterization of Finite D-Groups

D. O. Revin p. 925  abstract

On Bifurcations of Systems with Homoclinic Loops to a Saddle-Focus
with Saddle Index

V. S. Gonchenko and L. P. Shil’nikov p. 929  abstract

Calculation of Some Characteristics of Large Genomes

N. N. Kozlov and S. S. Gryaznov p. 934  abstract

On Large Distances between Neighboring Zeros of the Riemann Zeta Function

M. A. Korolev p. 940  abstract

Secondary Dequantization

V. P. Maslov p. 944  abstract

Optimization of Boundary Control Produced by the Third Boundary Condition

A. A. Nikitin p. 945  abstract

Inverse Problem for the Elasticity Equations with an Impulse Source
of Unknown Form

V. G. Romanov p. 948  abstract

On the Irrationality Measure of ln3

V. Kh. Salikhov p. 955  abstract

Mathematical Physics

Weak Convergence of States in Quantum Statistical Mechanics

V. V. Kozlov and O. G. Smolyanov p. 958  abstract

Infinite Set of Polynomial Conservation Laws in Gas Dynamics

A. I. Rylov p. 962  abstract

Mathematical Modeling of Short-Time Filtration and Acoustic Processes in Porous Media

A. M. Meirmanov p. 965  abstract

Computer Science

Choice of Optimal Complexity of the Class of Logical Decision Functions
in Pattern Recognition Problems

V. B. Berikov and G. S. Lbov p. 969  abstract

Integral Characteristics of the Genetic Code

N. N. Kozlov p. 972  abstract

Control Theory

An Optimal Control of a Hybrid System

R. Gabasov, F. M. Kirillova, and N. S. Pavlenok p. 976  abstract

Parametric Resonance Excited by Periodic Variations of the Interest Rate
in a Market Economic System

A. A. Akaev p. 983  abstract

Author Index to Volume 75, 2007 p. 987

Author Index to Volume 76, 2007 p. 989

Contents of Volumes 75 and 76, 2007 p. 991

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