@article{zu213404,
          number = {83},
           title = {Asymptotic expansion for transport processes in semi-Markov media},
          author = {?. ?. Pogoru? and Ram{\'o}n ?. Rodr{\'i}guez-Dagn?no},
            year = {2010},
         journal = {Theor. Probability and Math. Statist.},
             url = {http://eprints.zu.edu.ua/13404/},
        abstract = {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.}
}