%0 Journal Article
%A Pogoruі, А. А.
%A Rodríguez-Dagnіno, Ramón М.
%D 2005
%F zu2:13382
%I ROSE
%J Random Oper. and Stoch. Equ.
%N 4
%P 399-405
%T One-dimensional semi-Markov evolutions with  general Erlang sojourn times
%U http://eprints.zu.edu.ua/13382/
%V 13
%X 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.