@article{zu213299, volume = {1}, number = {1}, month = {???????}, author = {A. A. Pogorui and Ram{\'o}n ?. Rodr{\'i}guez-Dagn?no}, title = {Stationary Distribution of Random Motion with Delay in Reflecting Boundaries}, journal = {Applied Mathematics}, pages = {24--29}, year = {2010}, url = {http://eprints.zu.edu.ua/13299/}, abstract = {In this paper we study a continuous time random walk in the line with two boundaries [a,b], a {\ensuremath{<}} 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.} }