TY  - JOUR
ID  - zu213404
UR  - http://eprints.zu.edu.ua/13404/
IS  - 83
A1  - Pogoru?, ?. ?.
A1  - Rodríguez-Dagn?no, Ramón ?.
Y1  - 2010///
N2  - 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.
JF  - Theor. Probability and Math. Statist.
TI  - Asymptotic expansion for transport processes in semi-Markov media
AV  - public
ER  -