Contents
Doklady Mathematics


Vol. 82, No. 3, 2010

A simultaneous 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 435, Nos. 1–6, 2010


Volume 82, November–December.

Mathematics

Seidel’s Problem on the Volume of a Non-Euclidean Tetrahedron

N. V. Abrosimov p. 843  abstract

On the Complexity of Discrete Generation Problems

E. V. Djukova and R. M. Sotnezov p. 847  abstract

Rapidly Oscillating Spatially Inhomogeneous Structures in Coherent Nonlinear Optical Systems

I. S. Kashchenko and S. A. Kashchenko p. 850  abstract

On Amply Regular Locally GQ(5,5)-Graphs

A. A. Makhnev and D. V. Paduchikh p. 854  abstract

Mixed Problems for the Telegraph Equation in the Case of a System Consisting of Two Segments
with Different Densities and Elasticities but Equal Impedances: One-Sided Control

I. N. Smirnov p. 858  abstract

An Improvement of Convergence Rate Estimates in the Lyapunov Theorem

I. G. Shevtsova p. 862  abstract

Classical Solution of a Mixed Problem with Involution

M. Sh. Burlutskaya and A. P. Khromov p. 865  abstract

Strong Trajectory Attractor for a Dissipative Reaction-Diffusion System

M. I. Vishik, S. V. Zelik, and V. V. Chepyzhov p. 869  abstract

Asymptotically Homogeneous Generalized Functions along Trajectories
Defined by a General One-Parameter Transformation Group

Yu. N. Drozhzhinov and B. I. Zav’yalov p. 874  abstract

Multistability in Nonlinear Parabolic Systems with Low Diffusion

I. S. Kashchenko p. 878  abstract

On Nikol’skii-Type Inequalities with New Characteristics

Dzh. I. Mamedkhanov p. 882  abstract

On the Index of Elliptic Operators Associated with a Diffeomorphism of a Manifold

A. Yu. Savin p. 884  abstract

Mixed Problems for the Telegraph Equation in the Case of a System
Consisting of Two Segments with Different Densities and Elasticities but Equal Impedances

I. N. Smirnov p. 887  abstract

Inequalities between the Best Approximations and Homogenizations of Moduli
of Continuity in the Space L2

M. Sh. Shabozov and G. A. Yusupov p. 892  abstract

On the Rate of Convergence of Distributions of Random Variables

R. N. Boyarinov p.896  abstract

On the Completeness of the Root Vectors of First-Order Systems

M. M. Malamud and L. L. Oridoroga p. 899  abstract

On Automorphisms of a Distance-Regular Graph with Intersection Array {81, 60, 1; 1, 20, 81}

A. A. Makhnev and D. V. Paduchikh p. 905  abstract

Coercive Solvability of Odd-Order Differential Equations and Its Applications

M. B. Muratbekov, M. M. Muratbekov, and K. N. Ospanov p. 909  abstract

NP-Completeness of the Integer Balancing Problem for a Three-Dimensional Matrix

V. S. Roublev and A. V. Smirnov p. 912  abstract

GL2(frame0)-Orbits of Binary Forms

P. V. Bibikov and V. V. Lychagin p. 915  abstract

Special Cases for the Problem of Steady-State Oscillations of a Semicylinder
with a Cubic Elastic Structure and Related Self-Adjoint Quadratic Pencils

A. G. Kostyuchenko and G. M. Argeta p. 917  abstract

Limit Cycles in Quadratic Systems with a First-Order Weak Focus

G. A. Leonov p. 923  abstract

Distance-Regular Graph with the Intersection Array {56, 45, 1; 1, 9, 56}
Is Not Vertex-Symmetric

A. A. Makhnev p. 927  abstract

On the Convergence Conditions for the Method with Boundary Condition Splitting
in Sobolev Spaces of High Smoothness and the Compatibility Conditions
for the Nonstationary Stokes Problem

B. V. Pal’tsev p. 931  abstract

On a Class of Singular Solutions to the Korteweg–de Vries Equation

S. I. Pohozaev p. 936  abstract

Realization of Plane Graphs as Closed Locally Minimal Nets on Convex Polyhedra

N. P. Strelkova p. 939  abstract

Homogenization Limit for the Boundary Value Problem with the P-Laplace Operator
and a Nonlinear Third Boundary Condition on the Boundary
of the Holes in a Perforated Domain

A. V. Podol’skii p. 942  abstract

On the Number of Subgraphs of a Random Graph in the Barabasi–Albert Model

A. A. Ryabchenko and E. A. Samosvat p. 946  abstract

Special Cases for the Problem of Steady-State Oscillations of a Semicylinder
with an Isotropic Elastic Structure and Related Self-Adjoint Quadratic Pencils

G. M. Argeta p. 950  abstract

Reduction of the Vibrations of an Initially Stationary Rod
Consisting of Two Different Segments to an Arbitrary State

V. A. Il’in p. 955  abstract

Duality between Anisotropic Stepanov and Nikol’skii Spaces

V. A. Kostin, A. V. Kostin, and V. A. Gorlov p. 959  abstract

The Chromatic Number of frame1n with a Set of Forbidden Distances

A. B. Kupavskii p. 963  abstract

On Amply Regular Locally GQ(5, 3)-Graphs

A. A. Makhnev, D. V. Paduchikh, and M. M. Khamgokova 967


Mathematical Physics

Control Problem with a Point Source of Heat Used as a Controller

M. Otelbaev, A. Hasanov, and B. Akpayev p. 971  abstract

The Gough–James Model for Quantum Feedback Networks in Belavkin’s Representation

O. G. Smolyanov and A. Truman p. 974  abstract


Computer Science

Mathematical Model of Population Dynamics with the World Population Size Stabilizing
about a Stationary Level

A. A. Akaev and V. A. Sadovnichii p. 978  abstract

Cluster-Continuum Modeling of Economic Processes

Yu. I. Dimitrienko and O. Yu. Dimitrienko p. 982  abstract


Control Theory

A Moving Object and an Observer in a Banach Space

V. I. Berdyshev p. 986  abstract

Classification of Nonlinear Control Systems of a Certain Type

V. I. Elkin p. 988  abstract

Singular Extremals in Analytical Mechanics

E. R. Smol’yakov p. 991  abstract


Author Index to Volumes 81–82, 2010 p. 995

Contents of Volumes 81–82, 2010 p.999


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