%A ?. ?. Pogoru?
%A Ram?n ?. Rodr?guez-Dagn?no
%J Random Oper. and Stoch. Equ.
%T One-dimensional semi-Markov evolutions with
general Erlang sojourn times
%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.
%N 4
%P 399-405
%V 13
%D 2005
%I ROSE
%L zu213382