Contents
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 Eng./Russ.
Mathematics
Classical and Nonclassical Levy Laplacians
L. Accardi and O. G. Smolyanov 801 7 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 806 12 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 812 18 Optimality of Euler's Elasticae
Yu. L Sachkov 817 23 On the Regularity Problem in Terwilliger Graphs
A. L. Gavrilyuk and A. A. Makhnev 820 151 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 824 156 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 828 160 Essential Spectra of Pseudodifferential Operators in Sobolev Spaces
with Variable Smoothness and Variable Lebesgue Indices
V. S. Rabinovich and S. G. Samko 835 167 Separation of Variables for a Pair of Integrable Systems on so*(4)
A. V Tsiganov 839 171 Multiplicative Structure of a Polynomial Matrix Depending on Its Elementary Divisors
B. Z Shavarovskii 843 175 Functions Star- and Convex-Univalent of Order a with Weight
I. I. Bavrin 848 295 All Asymptotic Expansions of Solutions to the Sixth Painleve Equation
A. D. Bruno and I. V. Goryuchkina 851 298 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 856 303
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 861 308 A Projective Geometry of Lie Algebras
A. A. Lashkhi 866 313 Vortex Singularities of Optimal Strategies at the Beginning of a Motion
in Search Problems on n-Manifolds
L V. Lokutsievskii 869 316 Formula for the Laplace Transform of the Projection of a Distribution
on the Positive Half-Line and Some of Its Applications
S. V. Nagaev 872 319 Matrix Integral Fourier Transforms for Problems with Discontinuous
Coefficients and Transformation Operators
O. E. Yaremko 876 323 Derivation of the General Macroeconomic Dynamics Equation Describing
the Joint Interaction of Long-Term Growth and Business Cycles
A. A. Akaev 879 439 Exterior Axisymmetric Neumann Problem for the Laplace Equation:
Numerical Algorithms without Saturation
V. N. Belykh 882 442 Groups of 5-units in Hyperelliptic Fields
V. V Benyash-Krivets and V P. Platonov 886 446 Unbounded Perturbations of Two-Dimensional Diffusion Processes
with Nonlocal Boundary Conditions
P. L. Gurevich 891 451 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 896 456 Independent Linear Statistics on a-Adic Solenoids
G. M. Feldman 904 464 A Coarea Formula for Smooth Contact Mappings of Carnot Manifolds
S. K. Vodop'yanov and M. B. Karmanova 908 583 A Theorem on Values of Roots and Coefficients
Yu. L. Ershov 913 589 Schlomilch 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 916 592 Local Approximations by Solutions of Second-Order Elliptic Equations
and Removable Singularities
A. V Pokrovskii 921 597 A Characterization of Finite -Groups
D. O. Revin 925 601
On Bifurcations of Systems with Homoclinic Loops to a Saddle-Focus with Saddle Index
V. S. Gonchenko and L P. Shil'nikov 929 727 Calculation of Some Characteristics of Large Genomes
N. N. Kozlov and S. S. Gryaznov 934 732 On Large Distances between Neighboring Zeros of the Riemann Zeta Function
M. A. Korolev 940 738 Secondary Dequantization
V. P. Maslov 944 742 Optimization of Boundary Control Produced by the Third Boundary Condition
A. A. Nikitin 945 743 Inverse Problem for the Elasticity Equations with an Impulse Source
of Unknown Form
V G. Romanov 948 746 On the Irrationality Measure of In3
V. Kh. Salikhov 955 753
Mathematical Physics
Weak Convergence of States in Quantum Statistical Mechanics
V. V. Kozlov and O. G. Smolyanov 958 180 Infinite Set of Polynomial Conservation Laws in Gas Dynamics
A. I. Rylov 962 468 Mathematical Modeling of Short-Time Filtration and Acoustic Processes in Porous Media
A. M. Meirmanov 965 605
Computer Science
Choice of Optimal Complexity of the Class of Logical Decision Functions in Pattern Recognition Problems
V. B. Berikov and G. S. Lbov 969 26 Integral Characteristics of the Genetic Code
N. N. Kozlov 972 30
Control Theory
An Optimal Control of a Hybrid System
R. Gabasov, F. M. Kirillova, andN. S. Pavlenok 976 34 Parametric Resonance Excited by Periodic Variations of the Interest Rate
in a Market Economic System
A. A. Akaev 983 609
Author Index to Volume 75, 2007 987 Author Index to Volume 76, 2007 989 Contents of Volumes 75 and 76, 2007 991
