Journal of Applied Mathematics and Stochastic Analysis
Volume 10 (1997), Issue 3, Pages 239-248

Continuity properties of solutions of multivalued equations with white noise perturbation

Mariusz Michta

Technical University, Institute of Mathematics, Podgorna 50, Zielona Gora 65-246, Poland

Received 1 April 1996; Revised 1 November 1996

Copyright © 1997 Mariusz Michta. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In the paper, we consider a set-valued stochastic equation with stochastic perturbation in a Banach space. We prove first the existence theorem and then study continuity properties of solutions.