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article
show
Asymptotic expansion for transport processes in semi-Markov media
english
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.
-
Pogoruі
А. А.
-
Rodríguez-Dagnіno
Ramón М.
pub
- QA77
- sch_man
public
2010
published
Theor. Probability and Math. Statist.
83
TRUE