Journal of Applied Mathematics and Stochastic Analysis 
Volume 10 (1997), Issue 3, Pages 239-248
doi:10.1155/S1048953397000300

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

Abstract

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.