One-dimensional semi-Markov evolutions with general Erlang sojourn times
Zhytomyr State University Library
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Relation |
http://eprints.zu.edu.ua/13382/
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Title |
One-dimensional semi-Markov evolutions with general Erlang sojourn times |
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Creator |
Pogoruі, А. А.
Rodríguez-Dagnіno, Ramón М. |
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Subject |
Mathematical Analysis
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Description |
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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Publisher |
ROSE
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Date |
2005
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Type |
Article
PeerReviewed |
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Format |
text
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Language |
uk
english |
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Identifier |
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. |
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