Samovol, V. S.
Published in
Doklady Mathematics

Abstract—Scalar real Riccati equations with coefficients expandable in convergent power series in a neighborhood of infinity are considered. Extendable solutions to equations of this kind are studied. Methods of power geometry are used to obtain conditions for asymptotic series expansions of these solutions.

Sadovnichii, V. A. Sultanaev, Ya. T. Akhtyamov, A. M.
Published in
Doklady Mathematics

AbstractA uniqueness theorem for reconstruction of an nth-order differential operator with nonseparated boundary conditions from several spectra is proved. This theorem is based on the results of E.A. Baranova.

Eremin, Yu. A. Sveshnikov, A. G.
Published in
Doklady Mathematics

AbstractBased on the discrete source method, a rigorous approach has been developed and implemented that allows one to analyze light scattering by models of resonators of plasmonic nanolaser (SPASER). This approach takes into account all features of the boundary value problem for the Maxwell system, including the interaction of the resonators with ...

Mikhailov, G. A. Lotova, G. Z.
Published in
Doklady Mathematics

AbstractThe fluctuations of the number of scattering and multiplying particles in a random medium are investigated as functions of time. For this purpose, randomized Monte Carlo algorithms for estimating the probabilistic moments of the corresponding exponential asymptotic parameter are constructed.

Bykovskii, V. A. Monina, M. D.
Published in
Doklady Mathematics

AbstractAverage values over integral points on a three-dimensional sphere with an arbitrary smooth weight function are studied. For them, an expansion of the mean product of two L-series associated with the Hecke basis in spaces of holomorphic parabolic forms of integer even weight with respect to the congruence subgroup Γ0(4) is obtained.

Zhgoon, V. S. Knop, F.
Published in
Doklady Mathematics

AbstractWe construct the action of the restricted Weyl group on the set of principal families of orbits of a minimal parabolic subgroup over an algebraically nonclosed field. Additionally, we relate this action to the action on a polarized cotangent bundle. These results generalize the corresponding results of Knop on the action of the Weyl group o...

Raigorodskii, A. M. Koshelev, M. M.
Published in
Doklady Mathematics

AbstractWe significantly improve lower bounds on the clique-chromatic numbers for some families of Johnson graphs. A new upper bound on the clique-chromatic numbers for G(n, r, r – 1) and G(n, 3, 1) is obtained. Finally, the exact value of the clique-chromatic number for G(n, 2, 1) is provided.

Veretennikov, A. Yu. Veretennikova, M. A.
Published in
Doklady Mathematics

AbstractNew improved rates of convergence for ergodic homogeneous Markov chains are studied. Examples of comparison with classical rate bounds are provided.

Volchkov, V. V. Volchkov, Vit. V.
Published in
Doklady Mathematics

AbstractLet \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{V}_{r}}({{\mathbb{R}}^{n}})$$\end{document}, n ≥ 2, be the set of functions \documentclass[12pt]{minimal} ...

Zlotnik, A. A. Chetverushkin, B. N.
Published in
Doklady Mathematics

AbstractWe study a symmetric three-level (in time) method with a weight and a symmetric vector two-level method for solving the initial-boundary value problem for a second-order hyperbolic equation with a small parameter \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{am...