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Contents
Doklady Mathematics
Vol. 78, No. 1, 2008
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 421, Nos. 1–6, 2008
Volume 78, July–August.
Mathematics
Complicated Expansions of Solutions to a System of Ordinary Differential Equations
A. D. Bruno p. 477 abstract
On Recognition by Spectrum among Covers of Finite Simple Unitary and Linear Groups
A. V. Zavarnitsine p. 481 abstract
Asymptotic Behavior of Solutions to a Boundary Value Problem
for a Nonlinear Equation with a Fractional Derivative
E. I. Kaikina, P. I. Naumkin, and I. A. Shishmarev p. 485 abstract
The Bifurcation Diagram and the Discriminant of Rigid Body–Type Integrable Systems
on the Lie Algebras so(2n + 1), sp(2n), and sl(n)
A. Yu. Konyaev p. 488 abstract
On Generic Uniqueness of Optimal Solution in an Infinite Dimensional
Linear Programming Problem
V. L. Levin p. 490 abstract
The Singular Multiparameter Sturm–Liouville Problem
K. A. Mirzoev p. 493 abstract
On the Boundary Value Problem for a Class of Operator-Differential Equations
of Odd Order with Variable Coefficients
A. R. Aliev p. 497 abstract
Exchange Transformations Reversing Orientation
C. Gutierrez, S. Lloyd, B. Pires, E. V. Zhuzhoma, and V. S. Medvedev p. 500 abstract
Asymptotically Quasi-Homogeneous Distributions
Yu. N. Drozhzhinov and B. I. Zavialov p. 503 abstract
Nonlinear Sums of Characters over Primes
A. A. Karatsuba p. 508 abstract
Riemann Problem in the Class of Cauchy-Type Integrals with Density in Lp(·)()
V. M. Kokilashvili, A. M. Paatashvili, and S. G. Samko p. 510 abstract
The Role of Competition in Economics
Yu. S. Kolesov and D. A. Pendyur p. 514 abstract
Geometry of Norms and Inequalities in Superreflexive Banach Spaces
A. N. Agadzhanov p. 518 abstract
Integral Representations of Analytical and Harmonic Functions in a Disk
I. I. Bavrin p. 522 abstract
On Yu.A. Mitropol’skii’s Theorem on Periodic Solutions of Systems of Nonlinear
Differential Equations with Nondifferentiable Right-Hand Sides
A. Buic, J. Llibre, and O. Yu. Makarenkov p. 525 abstract
Green Function Representation in the Dirichlet Problem for Polyharmonic Equations in a Ball
T. Sh. Kalmenov, B. D. Koshanov, and M. Yu. Nemchenko p. 528 abstract
Selberg’s Conjecture Concerning the Distribution of Imaginary Parts of Zeros
of the Riemann Zeta Function
M. A. Korolev p. 531 abstract
On the Exponential Stability of a Dynamical System on a Time Scale
A. A. Martynyuk p. 535 abstract
Weight Estimates for Norms of Operators with Two Variable Limits of Integration
V. D. Stepanov and E. P. Ushakova p. 541 abstract
Parabolic Equations for Measures on Infinite-Dimensional Spaces
V. I. Bogachev, G. Da Prato, and M. Röckner p. 544 abstract
Terwilliger Graphs in Which the Neighborhood of Some Vertex is Isomorphic
to a Petersen Graph
A. L. Gavrilyuk and A. A. Makhnev p. 550 abstract
On the Dirichlet Problem for Stokes Equations outside Open Arcs in a Half-Plane
P. A. Krutitskii p. 554 abstract
Diffusion on Riemannian Manifolds and Integration with Respect
to Anticommuting Variables
O. G. Smolyanov and H. von Weizsaecker p. 560 abstract
Nonlinear Equations of the Volterra Type
A. Ya. Yakubov p. 564 abstract
A Heat Exchange Control Problem
Sh. A. Alimov p. 568 abstract
Asymptotic Analysis of the Behavior of Solutions to Equations with Large Delay
I. S. Kashchenko p. 570 abstract
On the Complexity of a Search for a Subset of “Similar” Vectors
A. V. Kel’manov and A. V. Pyatkin p. 574 abstract
Parametric Versions of the Fast Fourier Transform
V. N. Malozemov and O. V. Prosekov p. 576 abstract
On Graphs in Which the Neighborhood of Each Vertex Is Isomorphic
to the Halved Graph of the Folded 10-Cube
A. A. Makhnev and D. V. Paduchikh p. 579 abstract
The Inverse Sturm–Liouville Problem with Generalized Periodic Boundary Conditions
V. A. Sadovnichii, Ya. T. Sultanaev, and A. M. Akhtyamov p. 582 abstract
Singular Extremals in Dimensional Analysis
E. R. Smol’yakov p. 585 abstract
Feynman Formula for a Class of Second-Order Parabolic Equations in a Bounded Domain
Ya. A. Butko, M. Grothaus, and O. G. Smolyanov p. 590 abstract
Sharp Estimates for the Amplitudes of Periodic Solutions to Lipschitz Differential Equations
A. A. Zevin p. 596 abstract
The Inertia of the Components in the Cartesian Decomposition of a Square Matrix
Kh. D. Ikramov p. 601 abstract
Boundedness Problems for Minsky Counter Machines
E. V. Kuzmin, V. A. Sokolov, and D. Yu. Chaly p. 604 abstract
Mathematical Physics
New Classes of Exact Solutions to General Nonlinear Equations and Systems
of Equations in Mathematical Physics
A. D. Polyanin p. 607 abstract
Rotating Waves of the Phenomenological Equation of Spin Combustion
A. M. Samoilenko and E. P. Belan p. 612 abstract
Computer Science
A Model of Noncompensatory Aggregation with an Arbitrary Collection of Grades
V. V. Chistyakov and V. A. Kalyagin p. 617 abstract
Control Theory
Influence of Business Cycles on Long-Term Economic Growth
A. A. Akaev p. 621 abstract
Optimal Robust Control of Dynamic Systems Using Inexact Measurements
of Their Output Signals
R. Gabasov, F. M. Kirillova, and E. I. Poyasok p. 626 abstract
Optimal Tracking of Stochastic Signals with Unknown Spectral Density
in Discrete-Time Control Systems
A. V. Proskurnikov and V. A. Yakubovich p. 631 abstract
Contribution to the Qualitative Realization Theory of Quasilinear Systems
in a Hilbert Space
V. A. Rusanov p. 636 abstract
A Criterion for the Strong Stability of Conflict Equilibria
E. R. Smol’yakov p. 639 abstract
Computation of Phase Detector Characteristics in Phase Locked Loops
for Clock Synchronization
G. A. Leonov p. 643 abstract
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