By means of an H-theorem it is shown that transient solutions of one-variab
le Fokker-Planck equations with drift terms depending on process mean value
s converge to stationary distributions. Thus. Shiino's H-theorem for the me
an field Fokker-Planck equation proposed by Desai and Zwanzig is generalize
d. (C) 2001 Elsevier Science B.V. All rights reserved.