eprintid: 13382
rev_number: 21
eprint_status: archive
userid: 3588
dir: disk0/00/01/33/82
datestamp: 2014-10-27 07:44:57
lastmod: 2015-08-15 09:22:13
status_changed: 2014-10-27 07:44:57
type: article
metadata_visibility: show
title: One-dimensional semi-Markov evolutions with
general Erlang sojourn times
language: english
abstract: In this paper we study a one-dimensional random motion by having a general Erlang
distribution for the sojourn times and we obtain higher order hyperbolic equations for this case. We
apply the methodology of random evolutions to ¯nd the partial di®erential equations governing the
particle motion and we obtain a factorization of these equations. As a particular case we ¯nd the linear
biwave equation for the symmetric motion case and 2-Erlang distributions for the sojourn times of a
semi-Markov evolution.
creators_name: Pogoruі, А. А.
creators_name: Rodríguez-Dagnіno, Ramón М.
ispublished: pub
subjects: QA77
divisions: sch_man
full_text_status: public
date: 2005
publication: Random Oper. and Stoch. Equ.
volume: 13
number: 4
publisher: ROSE
pagerange: 399-405
refereed: TRUE
citation:   Pogoruі, А. А. and Rodríguez-Dagnіno, Ramón М.  (2005) One-dimensional semi-Markov evolutions with general Erlang sojourn times.  Random Oper. and Stoch. Equ., 13 (4).  pp. 399-405.      
document_url: http://eprints.zu.edu.ua/13382/1/ROSE_2005.pdf