Contents
Doklady Mathematics

Vol. 79, No. 1, 2009

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 424, Nos. 1–6, 2009

Volume 79, January–February.

Mathematics

Transformation of the Network Graph of Scheduling Problems
with Precedence Constraints to a Planar Graph

A. A. Lazarev and E. R. Gafarov p. 1  abstract

To the Distortion of the Frequency of Occurrence of Characters in a Simple Substitution Code

M. P. Mineev and V. N. Chubarikov p. 4  abstract

On the Skitovich–Darmois Theorem for Connected Abelian Groups

M. V. Myronyuk and G. M. Fel’dman p. 6  abstract

On Nonsmooth Solutions of Nonlinear Partial Differential Equations

S. N. Samborski p. 10  abstract

An Algebraicity Criterion for the Sum of a Power Series
(a Generalization of Kronecker’s Criterion) and Its Application

K. V. Safonov p. 13  abstract

Minimal Fano Threefolds: Exceptional Sets and Vanishing Cycles

V. V. Golyshev p. 16  abstract

Wavelets on a Manifold

Yu. K. Dem’yanovich p. 21  abstract

Kelvin’s Instability Theorem: Topological Meaning and Generalizations

V. V. Kozlov p. 25  abstract

On Holomorphic Maps between Riemann Surfaces of Genera Three and Two

I. A. Mednykh p. 29  abstract

On l-Volterra Quadratic Stochastic Operators

U. A. Rozikov and A. Zada p. 32  abstract

Explicit Global Solutions to the Navier–Stokes Equations and Periodic Eigenfunctions
of the Curl Operator

R. S. Saks p. 35  abstract

An Operator Method for Studying Regular Bifurcations in Multiparameter Systems

M. G. Yumagulov p. 41  abstract

Any Sub-Riemannian Metric Has Points of Smoothness

A. A. Agrachev p. 45  abstract

Algorithmic Analysis of Local Integrability

A. D. Bruno and V. F. Edneral p. 48  abstract

On the Matrix Equation X = A

Kh. D. Ikramov p. 53  abstract

Embeddings of 4-Valent Framed Graphs into 2-Surfaces

V. O. Manturov p. 56  abstract

Improvement of Weight Computational Statistical Modeling via the Transition
to a Subcritical Galton–Watson Process

G. A. Mikhailov and I. N. Medvedev p. 59  abstract

On the Realization of Random Graphs as Distance Graphs in Spaces of Fixed Dimension

S. V. Nagaeva and A. M. Raigorodskii p. 63  abstract

Exponential Estimates for Eigenfunctions of Matrix Elliptic Differential Operators
and Limit Operators

V. S. Rabinovich and S. Roch p. 66  abstract

Stabilization of the Solution to the Identification Problem of the Source Function
for a One-Dimensional Parabolic Equation

O. A. Afinogenova, Yu. Ya. Belov, and I. V. Frolenkov p. 70  abstract

Inverse Problem for a Linear System of Parabolic Equations

A. D. Iskenderov and A. Ya. Akhundov p. 73  abstract

Differential Relations in the Inverse Kinematic Problem

M. V. Neshchadim p. 76  abstract

Asymptotics of the Number of Sum-Free Sets in Groups of Prime Order

A. A. Sapozhenko p. 79  abstract

Reconstruction of Periodic Functions from Noisy Input Data

V. V. Ternovskii and M. M. Khapaev p. 81  abstract

A Geometric Analogue of the Vekua–Gol’denveizer Problem

E. V. Tyurikov p. 83  abstract

On the Statistical Properties of Elements of Continued Fractions

A. V. Ustinov p. 87  abstract

Generalized Lévy Laplacians and Cesàro Means

L. Accardi and O. G. Smolyanov p. 90  abstract

Visibility Characteristic of a Moving Point

V. I. Berdyshev p. 94  abstract

On One Class of Differential Equations with Polynomial Coefficients

V. V. Napalkov and A. M. Dilmukhametova p. 97  abstract

Hölder Classes of Solutions to 2n-Parabolic Equations with a Varying Direction of Evolution

S. V. Popov and S. V. Potapova p. 100  abstract

Inverse Scattering Problem for the Difference Dirac Operator on a Half-Line

Ag. Kh. Khanmamedov p. 103  abstract

Spaces of Differential Forms and Mappings with Controlled Distortion

S. K. Vodop’yanov p. 105  abstract

The Tangent Approach to the Characterization of the Set of Singular Boundary Points
for an Arbitrary Function

M. A. Dorofeev p. 110  abstract

The Stability of Motion of Dynamic Systems

I. V. Zubov and A. V. Zubov p. 112  abstract

Classifying Normal Hankel Matrices

Kh. D. Ikramov and V. N. Chugunov p. 114  abstract

Some Liouville Theorems for Quasilinear Elliptic Inequalities

G. Caristi, E. Mitidieri, and S. I. Pohozaev p. 118  abstract

Minimal Irreducible Linear Groups and Representation of Finite Groups

V. P. Platonov p. 125  abstract

Mathematical Physics

Extraordinary Optical Transmission through a Conducting Film
with a Nanometric Inhomogeneity in the Evanescent Wave Region

N. V. Grishina, Yu. A. Eremin, and A. G. Sveshnikov p. 128  abstract

Force Acting on a Rough Disk Spinning in a Flow of Noninteracting Particles

A. Yu. Plakhov and T. V. Tchemisova p. 132  abstract

Differential Identities Relating the Laplacian, the Modulus of Gradient,
and the Gradient Directional Angle of a Scalar Function

A. G. Megrabov p. 136  abstract

Computer Science

The Choice of Several Best Objects with Respect to a Partial Preference Relation

V. V. Podinovskii p. 141  abstract

Control Theory

On the Harmonic Linearization Method

G. A. Leonov p. 144  abstract

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