%0 Journal Article
%@ 2152-7385
%A Pogorui, A. A.
%A Rodríguez-Dagnіno, Ramón М.
%D 2010
%F zu2:13299
%J Applied Mathematics
%N 1
%P 24-29
%T Stationary Distribution of Random Motion with Delay in  Reflecting Boundaries
%U http://eprints.zu.edu.ua/13299/
%V 1
%X In this paper we study a continuous time random walk in the line with two boundaries [a,b], a < b. The particle  can move in any of two directions with different velocities v1 and v2. We consider a special type of  boundary which can trap the particle for a random time. We found closed-form expressions for the stationary  distribution of the position of the particle not only for the alternating Markov process but also for a broad  class of semi-Markov processes.