Contents
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 Eng./Russ.
Mathematics
Transformation of the Network Graph of Scheduling Problems with Precedence Constraints to a Planar Graph
A. A. Lazarev and E. R. Gafarov 1 7
To the Distortion of the Frequency of Occurrence of Characters in a Simple Substitution Code
M. P. Mineev and V. N. Chubarikov 4 10
On the Skitovich-Darmois Theorem for Connected Abelian Groups
M. V. Myronyuk and G. M. Fel'dman 6 12
On Nonsmooth Solutions of Nonlinear Partial Differential Equations
S. N. Samborski 10 16 An Algebraicity Criterion for the Sum of a Power Series
(a Generalization of Kronecker's Criterion) and Its Application
K. V Safonov 13 19
Minimal Fano Threefolds: Exceptional Sets and Vanishing Cycles
V.VGolyshev 16 151
Wavelets on a Manifold
Yu. K. Dem'yanovich 21 156
Kelvin's Instability Theorem: Topological Meaning and Generalizations
V. V. Kozlov 25 161
On Holomorphic Maps between Riemann Surfaces of Genera Three and Two
I. A. Mednykh 29 165
On l-Volterra Quadratic Stochastic Operators
U. A. Rozikov and A. Zada 32 168 Explicit Global Solutions to the Navier-Stokes Equations and Periodic Eigenfunctions
of the Curl Operator
R. S. Saks 35 171
An Operator Method for Studying Regular Bifurcations in Multiparameter Systems
M. G. Yumagulov 41 177
Any Sub-Riemannian Metric Has Points of Smoothness
A. A. Agrachev 45 295 Algorithmic Analysis of Local Integrability
A. D. Bruno and V. F. Edneral 48 299
On the Matrix Equation X =A
Kh. D. Ikramov 53 304
Embeddings of 4-Valent Framed Graphs into 2-Surfaces
V. O. Manturov 56 308 Improvement of Weight Computational Statistical Modeling via the Transition
to a Subcritical Galton-Watson Process
G. A. Mikhailov and I. N. Medvedev 59 311
On the Realization of Random Graphs as Distance Graphs in Spaces of Fixed Dimension
S. V. Nagaeva and A. M. Raigorodskii 63 315 Exponential Estimates for Eigenfunctions of Matrix Elliptic Differential Operators
and Limit Operators
V. S. Rabinovich and S. Roch 66 318 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 70 439
Inverse Problem for a Linear System of Parabolic Equations
A. D. lskenderov and A. Ya. Akhundov 73 442
Differential Relations in the Inverse Kinematic Problem
M. V. Neshchadim 76 445
Asymptotics of the Number of Sum-Free Sets in Groups of Prime Order
A. A. Sapozhenko 79 449
Reconstruction of Periodic Functions from Noisy Input Data
V. V. Ternovskii and M. M. Khapaev 81 452
A Geometric Analogue of the Vekua-Gol'denveizer Problem
E. V. Tyurikov 83 455
On the Statistical Properties of Elements of Continued Fractions
A. V. Ustinov 87 459
Generalized Levy Laplacians and Cesaro Means
L. Accardi and O. G. Smolyanov 90 583
Visibility Characteristic of a Moving Point
V. I. Berdyshev 94 588
On One Class of Differential Equations with Polynomial Coefficients
V. V. Napalkov and A. M. Dilmukhametova 97 591
Holder Classes of Solutions to 2n-Parabolic Equations with a Varying Direction of Evolution
S. V. Popov and S. V Potapova 100 594
Inverse Scattering Problem for the Difference Dirac Operator on a Half-Line
Ag. Kh. Khanmamedov 103 597 Spaces of Differential Forms and Mappings with Controlled Distortion
S. K. Vodop'yanov 105 727
The Tangent Approach to the Characterization of the Set of Singular Boundary Points for an Arbitrary Function
M.A.Dorofeev 110 732 The Stability of Motion of Dynamic Systems
I. V. Zubov and A. V. Zubov 112 734 Classifying Normal Hankel Matrices
Kh. D. Ikramov and V. N. Chugunov 114 736 Some Liouville Theorems for Quasilinear Elliptic Inequalities
G. Caristi, E. Mitidieri, and S. I. Pohozaev 118 741
Minimal Irreducible Linear Groups and Representation of Finite Groups
V. P. Platonov 125 748
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 128 22
Force Acting on a Rough Disk Spinning in a Flow of Noninteracting Particles
A. Yu. Plakhoy and T. V. Tchemisova 132 26 Differential Identities Relating the Laplacian, the Modulus of Gradient,
and the Gradient Directional Angle of a Scalar Function
A. G. Megrabov 136 599
Computer Science
The Choice of Several Best Objects with Respect to a Partial Preference Relation
V. V Podinovskii 141 604
Control Theory
On the Harmonic Linearization Method
G. A. Leonov 144 462
