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One-dimensional semi-Markov evolutions with general Erlang sojourn times

Zhytomyr State University Library

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Relation http://eprints.zu.edu.ua/13382/
 
Title One-dimensional semi-Markov evolutions with
general Erlang sojourn times
 
Creator Pogoruі, А. А.
Rodríguez-Dagnіno, Ramón М.
 
Subject Mathematical Analysis
 
Description 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.
 
Publisher ROSE
 
Date 2005
 
Type Article
PeerReviewed
 
Format text
 
Language uk
english
 
Identifier http://eprints.zu.edu.ua/13382/1/ROSE_2005.pdf
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.