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.
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.
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