Asymptotic expansion for transport processes in semi-Markov media
Zhytomyr State University Library
Переглянути архів Інформація| Поле | Співвідношення | |
| Relation |
http://eprints.zu.edu.ua/13404/
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| Title |
Asymptotic expansion for transport processes in semi-Markov media
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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 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 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. |
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| Date |
2010
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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/13404/1/TViMSasymptotic%20expansion%20for.pdf
Pogoruі, А. А. and Rodríguez-Dagnіno, Ramón М. (2010) Asymptotic expansion for transport processes in semi-Markov media. Theor. Probability and Math. Statist. (83). |
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