Contents

Doklady Mathematics

Vol. 94, No. 1, 2016

A simultaneous English language translation of this journal is available from Pleiades Publishing, Ltd.
Distributed worldwide by Springer. Doklady Mathematics ISSN 1064-5624.

Mathematics

Integrability and Continuity of Densities of Stationary Distributions of Diffusions

V. I. Bogachev and S. V. Shaposhnikov p. 355  abstract

Regularized Modified α-Processes for Nonlinear Equations with Monotone Operators

Corresponding Member of the RAS V. V. Vasin p. 361  abstract

Asymptotic Stability Analysis of Autonomous Systems by Applying the Method of Localization of Compact Invariant Sets

Corresponding Member of the RAS A. P. Krishchenko p. 365  abstract

Differential Equations in Spaces of Abstract Stochastic Distributions

I. V. Melnikova and M. A. Alshanskiy p. 369  abstract

On the Basis Property of a Two-Part Trigonometric Series

Academician of the RAS E. I. Moiseev and T. N. Likhomanenko p. 374  abstract

Control of Displacement Front in a Model of Immiscible Two-Phase Flow in Porous Media

A. V. Akhmetzyanov, A. G. Kushner and V. V. Lychagin p. 378  abstract

On Exact Dimensional Splitting for a Multidimensional Scalar Quasilinear Hyperbolic Conservation Law

M. D. Bragin and B. V. Rogov p. 382  abstract

Homogenization of the p-Laplacian with Nonlinear Boundary Condition on Critical Size Particles: Identifying the Strange Term for the Some non Smooth and Multivalued Operators

J. I. Diaz, D. Gómez-Castro, A. V. Podol’skii and T. A. Shaposhnikova p. 387  abstract

Elliptic Expansion–Contraction Problems on Manifolds with Boundary

A. Yu. Savin and B. Yu. Sternin p. 393  abstract

Subdifferential Inclusions with Unbounded Perturbation: Existence and Relaxation Theorems

Corresponding Member of the RAS A. A. Tolstonogov p. 396  abstract

On the Oscillation of Eigenvector Functions of the One-Dimensional Dirac Operator

Z. S. Aliev and Kh. Sh. Rzaeva p. 401  abstract

On Nonlinear Analogues of the Phragmen–Lindelöf Theorem

A. A. Kon’kov p. 406  abstract

New Computational Model of an Isotropic “Broken” Exponentially Correlated Random Field

Corresponding Member of the RAS G. A. Mikhailov and A. Yu. Ambos p. 411  abstract

Lyapunov Unstable Milnor Attractors

I. S. Shilin p. 415  abstract

The Lyusternik‒Sobolev Lemma and the Specific Asymptotic Stability of Solutions of Linear Homogeneous Volterra-Type Integro-Differential Equations of Order 3

Corresponding Member of the RAS M. Imanaliev, K. A. Asanova and S. Iskandarov p. 418  abstract

On New Spatial Discretization of the Multidimensional Quasi-Gasdynamic System of Equations with Nondecreasing Total Entropy

A. A. Zlotnik p. 423  abstract

New Classes of Integral Functionals for Which the Integral Representation of Lower Semicontinuous Envelopes Is Valid

J.-Ph. Mandallena and M. A. Sychev p. 430  abstract

Theory of $({{q}_{1}},{{q}_{2}})$-Quasimetric Spaces and Coincidence Points

A. V. Arutyunov and A. V. Greshnov p. 434  abstract

Strong Solutions to Stochastic Equations with a Lévy Noise and a Non-constant Diffusion Coefficient

V. I. Bogachev and A. Yu. Pilipenko p. 438  abstract

An Elementary Proof That Classical Braids Embed in Virtual Braids

V. O. Manturov p. 441  abstract

On the Structure of the Jacobian Group for Circulant Graphs

A. D. Mednykh and I. A. Mednykh p. 445  abstract

Strictly Singular Operators in Pairs of ${{L}_{p}}$ Spaces

E. M. Semenov, P. Tradacete and F. L. Hernandez p. 450  abstract

Membership of Distributions of Polynomials in the Nikolskii–Besov Class

V. I. Bogachev, G. I. Zelenov and E. D. Kosov p. 453  abstract

Multiscale Approach to Computation of Three-Dimensional Gas Mixture Flows in Engineering Microchannels

V. O. Podryga p. 458  abstract

Uniqueness of Reconstruction of the Sturm–Liouville Problem with Spectral Polynomials in Nonseparated Boundary Conditions

Academician of the RAS V. A. Sadovnichii, Ya. T. Sultanaev and A. M. Akhtyamov p. 461  abstract

Equivalence of the Trigonometric System and Its Perturbations in ${{L}^{p}}( - \pi ,\pi )$

A. M. Sedletskii p. 464  abstract

Mathematical Physics

Exact Solutions of an Integro-differential Equation with Quadratically Cubic Nonlinearity

Academician of the RAS O. V. Rudenko p. 468  abstract

Models with Virtual Force Carriers in Classical Particle Physics

V. A. Malyshev p. 472  abstract

On Exact Solutions to the Kolmogorov–Feller Equation

Academician of the RAS O. V. Rudenko, A. A. Dubkov and S. N. Gurbatov p. 476  abstract

Maslov Complex Germ and High-Frequency Gaussian Beams for Cold Plasma in a Toroidal Domain

S. Yu. Dobrokhotov, A. Cardinali, A. I. Klevin and B. Tirozzi p. 480  abstract