Ukrainian Mathematical Bulletin
Volume 3, Issue 3, 2006 pp. 381-394.
Asymptotic Expansion of Markov Random EvolutionAuthors: Igor V. Samoilenko
Author institution: Institute of Mathematics, Ukrainian National Academy of Sciences, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine, isamoil@imath.kiev.ua
Summary: We study asymptotic expansion of solution of a singularly perturbed equation for a Markov random evolution in $\mathbb{R}^d$, and find the forms of the regular and singular parts of the solution.
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