eprintid: 13404
rev_number: 29
eprint_status: archive
userid: 3588
dir: disk0/00/01/34/04
datestamp: 2014-10-28 08:18:29
lastmod: 2015-08-15 09:24:12
status_changed: 2014-10-28 08:18:29
type: article
metadata_visibility: show
title: Asymptotic expansion for transport processes in semi-Markov media
language: english
abstract: 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.
creators_name: Pogoruі, А. А.
creators_name: Rodríguez-Dagnіno, Ramón М.
ispublished: pub
subjects: QA77
divisions: sch_man
full_text_status: public
date: 2010
date_type: published
publication: Theor. Probability and Math. Statist.
number: 83
refereed: TRUE
citation:   Pogoruі, А. А. and Rodríguez-Dagnіno, Ramón М.  (2010) Asymptotic expansion for transport processes in semi-Markov media.  Theor. Probability and Math. Statist. (83).       
document_url: http://eprints.zu.edu.ua/13404/1/TViMSasymptotic%20expansion%20for.pdf