Dakota State University, College of Arts and Sciences, Madison, South Dakota, 57042
AMS subject classification: 39A12, 37H10.
We find the solution of the partial difference equation for t ≥ 1, n ∈ IN and non-negative functions s and m with s (n, t) + m (n, t) = 1 corresponding to the probabilities of staying and moving respectively with initial condition P (n, 0) = p (n), no source and absorbing destination. The partial difference equation corresponds to discrete one-dimensional transportation.
Discrete transport, partial difference equations, random walks
