Contents
Doklady Mathematics

Vol. 91, No. 2, 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 461, Nos. 1–6, 2015

Volume 91, March–April.

Mathematics

Boundary Value Problems for a Class of Degenerate Pseudodifferential Equations

A. D. Baev and R. A. Kovalevskiy p. 131  abstract

Probabilistic Representation of a Generalized Solution to the Cauchy Problem
for a PDE System with Cross-Diffusion

Ya. I. Belopolskaya p. 134  abstract

On Convergence in Variation of Weakly Convergent Multidimensional Distributions

V. I. Bogachev and G. I. Zelenov p. 138  abstract

Uniqueness of Probability Solutions to Nonlinear Fokker–Planck–Kolmogorov Equation

O. A. Manita, M. S. Romanov, and S. V. Shaposhnikov p. 142  abstract

Nonlocal Elliptic Boundary Value Problems in an Infinite Cylinder

A. L. Skubachevskii p. 147  abstract

Dynamics of Alternating Functions

M. L. Blank p. 150  abstract

The Hamilton–Jacobi Method in the Non-Hamiltonian Situation
and the Hydrodynamic Substitution

V. V. Vedenyapin and N. N. Fimin p. 154  abstract

Index Sets of Constructive Models of Nontrivial Signature Autostable Relative
to Strong Constructivizations

S. S. Goncharov and M. I. Marchuk p. 158  abstract

Lax Operators Algebras and Gradings on Semisimple Lie Algebras

O. K. Sheinman p. 160  abstract

On Functions with Differences from L_p(0, 1)

G. A. Kalyabin p. 163  abstract

Recursive Calculation of Discrete Cosine Transform for Low Resolution Signal Processing

V. I. Kober, A. V. Vokhmintcev, and A. V. Melnikov p. 167  abstract

On the Eigenfunctions of the One-Dimensional Schrödinger Operator
with a Polynomial Potential

A. E. Mironov and B. T. Saparbayeva p. 171  abstract

On the Hurwitz Action on Quasipositive Factorizations of 3-Braids

S. Yu. Orevkov p. 173  abstract

Immersed Boundary Method as Applied to the Simulation of External Aerodynamics Problems
with Various Boundary Conditions

I. V. Abalakin, N. S. Zhdanova, and T. K. Kozubskaya p. 178  abstract

A Mathematical Model for Predictive Computations of the Synergy Effect of NBIC Technologies
and the Evaluation of Its Influence on the Economic Growth in the First Half of the 21st Century

A. A. Akaev and A. I. Rudskoi p. 182  abstract

A Lower Estimate of the Entropy of an Automorphism and Maximum Entropy Conditions
for and Invariant Measure of a Suspension Flow over a Markov Shift

B. M. Gurevich p. 186  abstract

On Godunov-Type Methods of High Order of Accuracy

M. E. Ladonkina and V. F. Tishkin p. 189  abstract

Dichotomy of Solutions of Differential-Difference Equations in a Sobolev Space

R. K. Romanovsky and E. M. Nazaruk p. 193  abstract

Boundedness Criteria for the Hardy–Steklov Operator Expressed in Terms of a Fairway Function

E. P. Ushakova p. 197  abstract

Wigner Measures and Quantum Control

J. Gough, T. S. Ratiu, and O. G. Smolyanov p. 199  abstract

Correlations, Large Deviations, and Rates of Convergence in Ergodic Theorems
for Characteristic Functions

A. G. Kachurovskii and I. V. Podvigin p. 204  abstract

On the Spectrum of Curvature Operators of Conformally Flat Lie Groups
with a Left-Invariant Riemannian Metric

D. N. Oskorbin, E. D. Rodionov, and O. P. Khromova p. 208  abstract

Graphs of Diameter at Most 3 Whose Local Subgraphs
are Pseudogeometric Graphs for pG_s–3(s, t)

A. K. Gutnova and A. A. Makhnev p. 211  abstract

Sharp Interpolation Inequalities for Discrete Operators

S. V. Zelik, A. A. Ilyin, and A. A. Laptev p. 215  abstract

New Curves of Genus 2 over the Field of Rational Numbers Whose Jacobians
Contain Torsion Points of High Order

V. P. Platonov and M. M. Petrunin p. 220  abstract

Mathematical Physics

Allowance for the Nonlocal Interaction of Plasmonic Particles in the Discrete Sources Method

Yu. A. Eremin p. 222  abstract

On a Homogenization Method for Differential Operators with Oscillating Coefficients

S. Yu. Dobrokhotov, V. E. Nazaikinskii, and B. Tirozzi p. 227  abstract

Quadratically Cubic Burgers’ Equation as Exactly Solvable Model of Mathematical Physics

O. V. Rudenko and C. M. Hedberg p. 232  abstract

Computer Science

On Exact Solutions of Recognition Problems Based on the Neural-Network Approach

A. E. Dyusembaev and D. R. Kaliazhdarov p. 236  abstract

Approximability of the Problem about a Minimum-Weight Cycle Cover of a Graph

M. Yu. Khachai and E. D. Neznakhina p. 240  abstract

Control Theory

Computation of the Phase Detector Characteristic of Classical PLL

G. A. Leonov, N. V. Kuznetsov, M. V. Yuldahsev, and R. V. Yuldashev p. 246  abstract

Anisotropic Smoothing Splines in Problems with Factorial Design of Experiments

M. G. Belyaev p. 250  abstract

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