http://eprints.zu.edu.ua/id/eprint/13382 2015-08-15T09:22:13Z info:eu-repo/semantics/descriptiveMetadata http://eprints.zu.edu.ua/13382/ One-dimensional semi-Markov evolutions with general Erlang sojourn times Pogoruі, А. А. Rodríguez-Dagnіno, Ramón М. Mathematical Analysis 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. ROSE 2005 Article PeerReviewed text uk 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. english info:eu-repo/semantics/objectFile info:eu-repo/semantics/humanStartPage