relation: http://eprints.zu.edu.ua/13404/
title: Asymptotic expansion for transport processes in semi-Markov media
creator: Pogoruі, А. А.
creator: Rodríguez-Dagnіno, Ramón М.
subject: Mathematical Analysis
description: In this paper we study asymptotic expansions for a solution of the singularly perturbed equation for a functional of a semi-Markov random evolution on the line. By using the method for solutions of singularly perturbed equations, we  obtain the solution in the form of a series of regular and singular terms. The first regular term satisfies a diffusion-type equation, and the first singular term is a semigroup with the infinitesimal operator of the respective related bivariate process. Each regular and singular term can be calculated recursively.
date: 2010
type: Article
type: PeerReviewed
format: text
language: uk
identifier: http://eprints.zu.edu.ua/13404/1/TViMSasymptotic%20expansion%20for.pdf
identifier:   Pogoruі, А. А. and Rodríguez-Dagnіno, Ramón М.  (2010) Asymptotic expansion for transport processes in semi-Markov media.  Theor. Probability and Math. Statist. (83).       
language: english