Contents
Doklady Mathematics

Vol. 80, No. 3, 2009

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 429, Nos. 1–6, 2009

Volume 80, November–December.

Mathematics

Nonlinear Evolution and Transport Equations for Measures

V. I. Bogachev, M. Röckner, and S. V. Shaposhnikov p. 785  abstract

An Analytical-Numerical Method for Conformal Mappings of Complex-Shaped Domains

V. I. Vlasov and A. B. Pal’tsev p. 790  abstract

Tight Bounds for the Probability of Overfitting

K. V. Vorontsov p. 793  abstract

Discrete Periodic Splines with Vector Coefficients for Computer-Aided Geometric Design

V. N. Malozemov and N. V. Chashnikov p. 797  abstract

One Method for the Numerical Solution of the Cauchy Problem
for the Navier–Stokes Equations and Fourier Series of the Curl Operator

R. S. Saks and A. G. Khaybullin p. 800  abstract

Asymptotic Properties of Polynomials in Gaussian Random Variables

B. V. Agafontsev and V. I. Bogachev p. 806  abstract

Completeness of Exponential Systems in Weighted Spaces on the Real Axis

V. V. Napalkov, A. A. Rumyantseva, and R. S. Yulmukhametov p. 810  abstract

Two-Sided Hardy-Type Inequalities for Monotone Functions

V. D. Stepanov, L. E. Persson, and O. V. Popova p. 814  abstract

Differentiability of Measures in the Sense of Skorokhod and Related Properties

A. V. Shaposhnikov p. 818  abstract

Integral Geometry Problem with a Discontinuous Weight Function

Akram H. Begmatov and Z. H. Ochilov p. 823  abstract

Κ-Bessel and Κ-Hilbert Systems and Κ-Bases

B. T. Bilalov and Z. G. Guseinov p. 826  abstract

A Localization Criterion for the Eigenvalues of a Spectrally Unstable Operator

Kh. K. Ishkin p. 829  abstract

Lifting of a Bound for the Chromatic Number of Rⁿ to Higher Dimensions

A. B. Kupavskii p. 833  abstract

On General Two-Colorings of Uniform Hypergraphs

A. P. Rozovskaya p. 837  abstract

On the Accuracy of the Gaussian Approximation

I. S. Tyurin p. 840  abstract

Cobordisms of Free Knots

D. P. Il’yutko and V. O. Manturov p. 844  abstract

Solution of a Multidimensional Integral Equation of the First Kind
with the Legendre Function in the Kernel over a Pyramidal Domain

A. A. Kilbas and O. V. Skoromnik p. 847  abstract

Asymptotic Behavior of the Solution to an Equation with a Small Parameter

E. F. Lelikova p. 852  abstract

Inverse Problem for a Parabolic–Hyperbolic Equation in a Rectangular Domain

K. B. Sabitov and E. M. Safin p. 856  abstract

Construction of Special Classes of Solutions for Some Differential Equations
of Hyperbolic Type

V. M. Dolgopolov, M. V. Dolgopolov, and I. N. Rodionova p. 860  abstract

Continued Fractions to the Nearest Even Number

V. I. Parusnikov p. 867  abstract

One-Parameter Family of Solutions for One Class
of Hammerstein Nonlinear Equations on a Half-Line

Kh. A. Khachatryan p. 872  abstract

Lower Estimates for Densities of Solutions to Parabolic Equations for Measures

S. V. Shaposhnikov p. 877  abstract

On Coding of Underdetermined Sequences with a Fidelity Criterion

L. A. Sholomov p. 882  abstract

Two-Way Generalization of the Continued Fraction

A. D. Bruno and V. I. Parusnikov p. 887  abstract

Subgroup Lattices and the Geometry of Hall’s W-Power Groups

A. A. Lashkhi and T. Z. Bokelavadze p. 891  abstract

Integral Representations of Solutions to Second-Order Linear Elliptic Systems
with an Interior Supersingular Point

A. B. Rasulov p. 895  abstract

Change of Variable Formulas for Integrals over Superspaces

O. G. Smolyanov and H. von Weizsäcker p. 897  abstract

Mathematical Physics

Generalized Solutions of Initial-Boundary Value Problems for a Discontinuous Wave Equation
in the Case of Equal Impedances

V. A. Il’in and P. V. Luferenko p. 901  abstract

An Analytic Form of Optimal Boundary Controls of Longitudinal Oscillations
of a Rod Consisting of Two Fragments with Different Densities
and Elasticities but Equal Impedances

V. A. Il’in and P. V. Luferenko p. 906  abstract

Longitudinal Vibrations of a Rod Consisting of Two Segments with Different Densities
and Elasticity Coefficients but with Identical Travel Times on Each Segment

V. A. Il’in p. 910  abstract

A Simple Method for Finding Trapped Modes in Problems
of the Linear Theory of Surface Waves

S. A. Nazarov p. 914  abstract

Computer Science

Reasonable Goals Method in the Multicriteria Choice Problem with Uncertain Information

A. V. Lotov and A. V. Kholmov p. 918  abstract

Mathematical Models of Reorganization and Optimization of the Technological Structure
in the Capitalist Economy

A. A. Akaev, A. I. Sarygulov, and V. N. Sokolov p. 921  abstract

Transformation of Energy Landscape in the Problem of Binary Minimization

Ya. M. Karandashev and B. V. Kryzhanovsky p. 927  abstract

Control Theory

Conflict Stable Pareto Optimal Equilibria

E. R. Smol’yakov p. 932  abstract

Control of a Dynamics of Economic Development with Help of Structural Shifts

A. A. Akaev, A. I. Sarygulov, and V. N. Sokolov p. 936  abstract

Conditions for the Existence of Convex Sets of Unstable Polynomials

V. V. Dikusar, G. A. Zelenkov, and N. V. Zubov p. 942  abstract

Precision Control Algorithm for a Dynamic System under Uncertainty
Based on an Adaptive System with a Reference Model

S. D. Zemlyakov and V. Yu. Rutkovskii p. 944  abstract

Criteria for the Existence of Uniform Equivalence Classes of Unstable Interval Polynomials

V. V. Dikusar, G. A. Zelenkov, and N. V. Zubov p. 947  abstract

Extremal Dimension Theory and Derivation of Differential Equations of Motion

E. R. Smol’yakov p. 950  abstract

Author Index to Volumes 79–80, 2009 p. 954

Contents of Volumes 79–80, 2009 p. 958

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