TY - JOUR ID - zu213382 UR - http://eprints.zu.edu.ua/13382/ IS - 4 A1 - Pogoru?, ?. ?. A1 - Rodríguez-Dagn?no, Ramón ?. Y1 - 2005/// N2 - 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. PB - ROSE JF - Random Oper. and Stoch. Equ. VL - 13 TI - One-dimensional semi-Markov evolutions with general Erlang sojourn times SP - 399 AV - public EP - 405 ER -