Contents
Doklady Mathematics

Vol. 82, No. 2, 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 434, Nos. 1–6, 2010

Volume 82, September–October.

Mathematics

Feynman Formulae for Feller Semigroups

Ya. A. Butko, O. G. Smolyanov, and R. L. Schilling p. 679  abstract

Solvability and Spectral Analysis of Integro-Differential Equations Arising
in the Theory of Heat Transfer and Acoustics

V. V. Vlasov, N. A. Rautian, and A. S. Shamaev p. 684  abstract

Homogenization of Navier–Stokes Systems for Electrorheological Fluids

V. V. Zhikov p. 688  abstract

Limit Cycles of Quadratic Systems with a Perturbed Weak Focus of Order 3
and a Saddle Equilibrium at Infinity

G. A. Leonov and N. V. Kuznetsov p. 693  abstract

Free Knots and Groups

V. O. Manturov and O. V. Manturov p. 697  abstract

Statistical Modeling of Inhomogeneous Random Functions on the Basis of Poisson Point Fields

G. A. Mikhailov and T. A. Averina p. 701  abstract

Lower Bounds for the Number of Edges in Hypergraphs of Certain Classes

D. A. Shabanov p. 705  abstract

Construction of Solutions to Differential Equations by the Method of Computer Analogy

V. V. Aristov and A. V. Stroganov p. 709  abstract

The Bifurcation of a Slow-Fast Separatrix Loop in a Family of Singular Systems

P. I. Kaleda p. 716  abstract

Counterexamples to Borsuk’s Conjecture on Spheres of Small Radius

A. M. Raigorodskii p. 719  abstract

A Solution of the Bonnet Pairs Problem

I. Kh. Sabitov p. 722  abstract

A Rational Periodicity Theorem for Division Codes

V. P. Filimonov p. 726  abstract

The Entropy Gain of Infinite-Dimensional Quantum Evolutions

A. S. Holevo p. 730  abstract

Fractal Controls and Quasi-Analytic Classes of Functions in the Cauchy Problem
for a Fractional-Order Diffusion Equation

A. N. Agadzhanov and A. G. Butkovskii p. 732  abstract

Homogenization Limit for the Diffusion Equation with Nonlinear Flux Condition
on the Boundary of Very Thin Holes Periodically Distributed in a Domain,
in Case of a Critical Size

W. Jäger, M. Neuss-Radu, and T. A. Shaposhnikova p.736  abstract

Continuity and Differentiability of Triangular Mappings

R. I. Zhdanov p. 741  abstract

A New Approach to Investigation of Carnot–Carathéodory Geometry

M. B. Karmanova p. 746  abstract

Asymptotic Integration of Nonoscillatory Second-Order Differential Equations

S. A. Stepin p. 751  abstract

Regularized Continuous Extragradient Method for Solving a Parametric
Multicriteria Equilibrium Programming Problem

F. P. Vasilyev, A. S. Antipin, and L. A. Artemieva p. 755  abstract

Thom’s Problem for Orbital Analytic Classification of Degenerate Singular Points
of Holomorphic Vector Fields in the Plane

S. M. Voronin, L. Ortiz-Bobadilla, and E. Rosales-Gonzáles p. 759  abstract

On Graphs in Which the Neighborhood of Each Vertex
Is the Complementary Graph of a Seidel Graph

M. L. Kardanova and A. A. Makhnev p. 762  abstract

Spectral Properties of Functional-Differential Operators and a Gårding-Type Inequality

L. E. Rossovskii p. 765  abstract

Estimates of Solutions of Parabolic Equations for Measures

S. V. Shaposhnikov p. 769  abstract

On Amply Regular Locally GQ(4, 4)-Graphs

A. A. Makhnev, D. V. Paduchikh, and M. M. Khamgokova p. 773  abstract

The Topology of the Set of Singularities for an Integrable Hamiltonian System

A. A. Oshemkov p. 777  abstract

pth Order Kuhn–Tucker-Type Optimality Conditions for a Singular Inequality Constrained
Optimization Problem

A. A. Tret’yakov p. 780  abstract

Regularity of Solutions of Boundary Value Problems for a Parabolic Equation
with Coefficients Growing near the Boundary

M. F. Cherepova p. 784  abstract

Inverse Problems for the Cauchy, Schwarz, and Poisson Integral Formulas in a Polydisk

I. I. Bavrin p. 787  abstract

Invariant Measures of Diffusions with Gradient Drifts

V. I. Bogachev, A. I. Kirillov, and S. V. Shaposhnikov p. 790  abstract

Discrete Autowaves in Delay Systems in Ecology

A. Yu. Kolesov and N. Kh. Rozov p. 794  abstract

The Perron Effect of Change of Values of Characteristic Exponents
for Solutions of Differential Systems

S. K. Korovin and N. A. Izobov p. 798  abstract

Riemann–Hilbert–Poincare Boundary Value Problems
for General First-Order Elliptic Systems

M. M. Sirazhudinov, A. M. Nurmagomedov, and S. D. Umalatov p. 801  abstract

A Lusin-Type Theorem for Vector Fields on the Wiener Space

A. V. Shaposhnikov p.803  abstract

Mathematical Physics

A New Approach to Calculating Activity Coefficients in a Wide Range of Electrolyte Concentration

N. A. Tikhonov p. 808  abstract

Linearized Stability of Equilibrium Solutions to the Quasi-Gasdynamic System of Equations

A. A. Zlotnik p. 811  abstract

Computer Science

The Hybrid Supercomputer MVS-Express

A. A. Davydov, A. O. Latsis, A. E. Lutsky, Yu. P. Smol’yanov,
B. N. Chetverushkin, and E. V. Shil’nikov p. 816  abstract

A Conditionality Criterion for Systems of Linear Algebraic Equations

N. N. Kalitkin, L. F. Yukhno, and L. V. Kuz’mina p. 820  abstract

On Fundamental Limits to Economic Growth and Consumption

A. A. Akaev p. 824  abstract

Control Theory

Bounded Feedback Controls for Linear Dynamic Systems
by Using Common Lyapunov Functions

I. M. Anan’evskii, N. V. Anokhin, and A. I. Ovseevich p. 831  abstract

A Physically Realizable Precision Control Algorithm for a Nonstationary Dynamic Object

S. D. Zemlyakov and V. Yu. Rutkovskii p. 835  abstract

Nonlinear Input–Output Mappings and Their Minimal Realizations

S. K. Korovin, A. P. Krishchenko, and V. N. Chetverikov p.838  abstract

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