Contents
Doklady Mathematics


Vol. 93, No. 2, 2016

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 467, Nos. 1–6, 2016


Volume 93, March–April.

Mathematics

Analytic Continuation Formulas and Jacobi-Type Relations for Lauricella Function

S. I. Bezrodnykh p. 129  abstract

Estimates of Distances between Transition Probabilities of Diffusions

V. I. Bogachev, M. Röckner, and S. V. Shaposhnikov p. 135  abstract

Homogenization of a Variational Inequality for the p-Laplacian in Perforated Media
with Nonlinear Restrictions for the Flux on the Boundary of Isoperimetric Perforations:
p Equal to the Dimension of the Space

D. Gomez, M. E. Pérez, M. Lobo, A. V. Podolsky, and T. A. Shaposhnikova p. 140  abstract

Large Extremes of Gaussian Chaos Processes

V. I. Piterbarg p. 145  abstract

Stochastic Intermediate Gradient Method for Convex Optimization Problems

A. V. Gasnikov and P. E. Dvurechensky p. 148  abstract

On Geary’s Theorem for the Field of p-Adic Numbers

M. V. Myronyuk and G. M. Feldman p. 152  abstract

Nonasymptotic Approach to Bayesian Semiparametric Inference

M. E. Panov p. 155  abstract

Programmed Iteration Method and Sets of Positional Absorption

A. G. Chentsov p. 159  abstract

Extremal Polynomials Related to Zolotarev Polynomials

I. V. Agafonova and V. N. Malozemov p. 164  abstract

New Approach to Optimality Conditions for Degenerate Nonlinear Programming Problems

O. A. Brezhneva and A. A. Tret’yakov p. 166  abstract

Deficiency Numbers of Operators Generated by Infinite Jacobi Matrices

I. N. Braeutigam and K. A. Mirzoev p. 170  abstract

Canonical and Existential Groups in Universal Classes of Abelian Groups

A. A. Mishchenko, V. N. Remeslennikov, and A. V. Treier p. 175  abstract

Standard Finite Difference Scheme for a Singularly Perturbed Elliptic Convection–Diffusion
Equation on a Rectangle under Computer Perturbations

G. I. Shishkin p. 179  abstract

On Bases for Direct Decomposition

B. T. Bilalov and T. B. Gasymov p. 183  abstract

Invariants of Four- and Three-Dimensional Singularities of Integrable Systems

M. A. Tuzhilin p. 186  abstract

Behavior of the Formal Fourier Solution of the Wave Equation with a Summable Potential

A. P. Khromov p. 190  abstract

Pontryagin Maximum Principle, Relaxation, and Controllability

E. R. Avakov and G. G. Magaril-Il’yaev p. 193  abstract

Nonsaturable Quadrature Formulas on an Interval (on Babenko’s Problem)

V. N. Belykh p. 197  abstract

Arak’s Inequalities for Concentration Functions and the Littlewood–Offord Problem

F. Götze, Yu. S. Eliseeva, and A. Yu. Zaitsev p. 202  abstract

On Almost Periodicity of Morphic Sequences

I. V. Mitrofanov p. 207  abstract

Stable and Unstable Minimal Surfaces and Hopf’s Problem

Yu. A. Aminov p. 211  abstract

Area Formula for Graph Surfaces on Five-Dimensional Sub-Lorentzian Structures

M. B. Karmanova p. 216  abstract

On the Absence of the Basis Property for the Root Function System
of the Sturm–Liouville Operator with Degenerate Boundary Conditions

A. S. Makin p. 220  abstract

L L Equiconvergence of Spectral Decompositions for a Dirac System with L Potential

I. V. Sadovnichaya p. 223  abstract


Mathematical Physics

Composite Electromagnetic Waves in Magnetodielectric Systems

Yu. I. Khudak p. 227  abstract


Computer Science

Mathematical Knowledge Ontologies and Recommender Systems for Collections of Documents
in Physics and Mathematics

A. M. Elizarov, A. B. Zhizhchenko, N. G. Zhil’tsov, A. V. Kirillovich, and E. K. Lipachev p. 231  abstract

Threshold Model of a Neural Ensemble

O. P. Kuznetsov p. 234  abstract


Control Theory

Anisotropy-Based Bounded Real Lemma for Discrete-Time Systems with Multiplicative Noise

A. V. Yurchenkov, A. Yu. Kustov, and A. P. Kurdyukov p. 238  abstract

Localization of Invariant Compact Sets of Families of Discrete-Time Systems

S. V. Emel’yanov, A. N. Kanatnikov, and A. P. Krishchenko p. 241  abstract


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