@article{MAKHILLJEAS20072112664, title = {Diffusion Processes with Reflecting Boundaries and Random Initial States}, journal = {Journal of Engineering and Applied Sciences}, volume = {2}, number = {1}, pages = {241-243}, year = {2007}, issn = {1816-949x}, doi = {jeasci.2007.241.243}, url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2007.241.243}, author = {Lefebvre Mario}, keywords = {Brownian motion,method of separation of variables,special functions}, abstract = {Kolmogorov forward equation for one-dimensional time-homogeneous diffusion processes X(t) is considered. This equation is solved explicitly for the Wiener and the Ornstein-Uhlenbeck processes, in particular, in the case when there is a (time-dependent) reflecting boundary. Moreover, the initial state X(0) is a random variable.} }