<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/13404/</dc:relation>
        <dc:title>Asymptotic expansion for transport processes in semi-Markov media</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 asymptotic expansions for a solution of the singularly perturbed equation for a functional of a semi-Markov random evolution on the line. By using the method for solutions of singularly perturbed equations, we&#13;
obtain the solution in the form of a series of regular and singular terms. The first regular term satisfies a diffusion-type equation, and the first singular term is a semigroup with the infinitesimal operator of the respective related bivariate process. Each regular and singular term can be calculated recursively.</dc:description>
        <dc:date>2010</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/13404/1/TViMSasymptotic%20expansion%20for.pdf</dc:identifier>
        <dc:identifier>  Pogoruі, А. А. and Rodríguez-Dagnіno, Ramón М.  (2010) Asymptotic expansion for transport processes in semi-Markov media.  Theor. Probability and Math. Statist. (83).       </dc:identifier>
        <dc:language>english</dc:language></oai_dc:dc>