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.
Lefebvre Mario . Diffusion Processes with Reflecting Boundaries and Random Initial States.
DOI: https://doi.org/10.36478/jeasci.2007.241.243
URL: https://www.makhillpublications.co/view-article/1816-949x/jeasci.2007.241.243