%A A. A. Pogorui %A Ram?n ?. Rodr?guez-Dagn?no %J Applied Mathematics %T Stationary Distribution of Random Motion with Delay in Reflecting Boundaries %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. %N 1 %P 24-29 %V 1 %D 2010 %L zu213299