A property of the solution set of differential inclusions in banach spaces with a caratheodory orientor field
Nicolaos Papageorgiou · Applicable Analysis · 1988
We examine the solution set of differential inclusions in separable Banach spaces with a Caratheodory orientor field i.e. tεF(t ,x) is measurable and xεF(t,x) is completely u.s.c. We show that the solution set is an Rδ set in C(T,X), extending this way earlier results by Lasry-Robert, Himmelberg-Van Vleck, De Blasi - Myjak and Papageorgiou