<oai_dc:dc xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
        <dc:relation>http://eprints.zu.edu.ua/13382/</dc:relation>
        <dc:title>One-dimensional semi-Markov evolutions with&#13;
general Erlang sojourn times</dc:title>
        <dc:creator>Pogoruі, А. А.</dc:creator>
        <dc:creator>Rodríguez-Dagnіno, Ramón М.</dc:creator>
        <dc:subject>Mathematical Analysis</dc:subject>
        <dc:description>In this paper we study a one-dimensional random motion by having a general Erlang&#13;
distribution for the sojourn times and we obtain higher order hyperbolic equations for this case. We&#13;
apply the methodology of random evolutions to ¯nd the partial di®erential equations governing the&#13;
particle motion and we obtain a factorization of these equations. As a particular case we ¯nd the linear&#13;
biwave equation for the symmetric motion case and 2-Erlang distributions for the sojourn times of a&#13;
semi-Markov evolution.</dc:description>
        <dc:publisher>ROSE</dc:publisher>
        <dc:date>2005</dc:date>
        <dc:type>Article</dc:type>
        <dc:type>PeerReviewed</dc:type>
        <dc:format>text</dc:format>
        <dc:language>uk</dc:language>
        <dc:identifier>http://eprints.zu.edu.ua/13382/1/ROSE_2005.pdf</dc:identifier>
        <dc:identifier>  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.      </dc:identifier>
        <dc:language>english</dc:language></oai_dc:dc>