Contents
Doklady Mathematics

Vol. 92, No. 3, 2015

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 465, Nos. 1–6, 2015

Volume 92, November–December.

Mathematics

Cauchy Problem for a Class of Fourth-Order Semilinear Pseudohyperbolic Equations
with Structural Damping

A. B. Aliev and A. F. Pashayev p. 651  abstract

Smooth Finitely Computable Functions Are Affine, or Why Quantum Systems Cause Waves

V. S. Anashin p. 655  abstract

Derivation of Preservation Conditions for Properties of Mathematical Models

S. N. Vassilyev, A. E. Druzhinin, and N. Yu. Morozov p. 658  abstract

Invariance Conditions for MIMO Systems Based on Regularization

N. E. Zubov, E. A. Mikrin, M. Sh. Misrikhanov, and V. N. Ryabchenko p. 664  abstract

Fundamental S-Units in Hyperelliptic Fields and the Torsion Problem in Jacobians
of Hyperelliptic Curves

V. P. Platonov and M. M. Petrunin p. 667  abstract

Asymptotic Formula for the Convolution of a Generalized Divisor Function

V. A. Bykovskii and D. A. Frolenkov p. 670  abstract

Fischer Decomposition for Differential Operators with Variable Coefficients

E. F. Gubaidullina and V. V. Napalkov p. 674  abstract

Weighted Modification of Direct Statistical Modeling with Randomized Branching
for Approximate Solution of a Kinetic Equation

G. A. Mikhailov and S. V. Rogazinskii p. 677  abstract

Integrable Billiards Model Important Integrable Cases of Rigid Body Dynamics

V. V. Fokicheva and A. T. Fomenko p. 682  abstract

Route Problem with Constraints Depending on a List of Tasks

A. G. Chentsov and A. A. Chentsov p. 685  abstract

Isoperimetric Inequality and the Poincare Inequality for Distributions
of Polynomials on Convex Compact Set

L. M. Arutyunyan p. 689  abstract

Nondegeneracy of Certain Constrained Extrema

G. K. Giorgadze and G. N. Khimshiashvili p. 691  abstract

Estimates of Some Characteristics of Multidimensional Birth-and-Death Processes

A. I. Zeifman, A. S. Sipin, V. Yu. Korolev, and V. E. Bening p. 695  abstract

Lower Estimates of Measure of Deviation of Polynomials from Mathematical Expectations

E. D. Kosov p. 698  abstract

Homogeneous Ricci Solitons on Four-Dimensional Lie Groups
with a Left-Invariant Riemannian Metric

P. N. Klepikov, D. N. Oskorbin, and E. D. Rodionov p. 701  abstract

Uniform Distribution of Sequences Generated by Iterated Polynomials

E. E. Lerner p. 704  abstract

Extended Formulations for Convex Heptagons

Ya. N. Shitov p. 707  abstract

Strong Asymptotics for the Pollaczek Multiple Orthogonal Polynomials

A. I. Aptekarev, G. López Lagomasino, and A. Martínez-Finkelshtein p. 709  abstract

Strong and Weak Convergence of the Population Size
in a Supercritical Catalytic Branching Process

E. Vl. Bulinskaya p. 714  abstract

On Limit Points of Spectra of the Random Graph First-Order Properties

M. E. Zhukovskii p. 719  abstract

Dynamics of Particles with Anisotropic Mass Depending on Time and Position

T. S. Ratiu and O. G. Smolyanov p. 723  abstract

Solution of a Ball–Murat Problem

M. A. Sychev p. 727  abstract

On the Cauchy–Gelfand Problem

G. M. Henkin and A. A. Shananin p. 731  abstract

Fourier Method in a Mixed Problem for the Wave Equation on a Graph

M. Sh. Burlutskaya p. 735  abstract

Variational Problems of Nonlinear Elasticity in Certain Classes of Mappings
with Finite Distortion

S. K. Vodop’yanov and A. O. Molchanova p. 739  abstract

Invariant and Quasi-Invariant Measures on Infinite-Dimensional Spaces

V. V. Kozlov and O. G. Smolyanov p. 743  abstract

On the Hölder Continuity of Solutions of the Venttsel’ Elliptic Problem

A. I. Nazarov and A. A. Paletskikh p. 747  abstract

S-Units and Periodicity of Continued Fractions in Hyperelliptic Fields

V. P. Platonov and G. V. Fedorov p. 752  abstract

Mathematical Models of Economic Dynamics in the Context of High Inflation
and Unstable Development

A. A. Akaev, A. I. Sarygulov, and V. N. Sokolov p. 757  abstract

On the Measurable Chromatic Number of a Space of Dimension n 24

L. I. Bogolubsky and A. M. Raigorodskii p. 761  abstract

Quantum Anomalies and Logarithmic Derivatives of Feynman Pseudomeasures

J. Gough, T. S. Ratiu, and O. G. Smolyanov p. 764  abstract

Frequency-Domain Criteria for the Global Stability of Phase Synchronization Systems

G. A. Leonov and K. D. Aleksandrov p. 769  abstract

The Limit Spectral Graph in Semiclassical Approximation for the Sturm–Liouville Problem
with Complex Polynomial Potential

A. A. Shkalikov and S. N. Tumanov p. 773  abstract

Mathematical Physics

Steady Ricci Flows

Yu. D. Shevelev p. 778  abstract

On Bicompact Grid-Characteristic Schemes for the Linear Advection Equation

N. I. Khokhlov and I. B. Petrov p. 781  abstract

Computer Science

Decomposition Methods for Polyhedral Approximation of the Edgeworth–Pareto Hull

A. V. Lotov p. 784  abstract

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