A relaxation theorem for differential inclusions in Banach spaces
Νικόλαος Παπαγεωργίου · Tohoku Mathematical Journal · 1987
In this paper we consider differential inclusions in a separable Banach space and we show that when the orientor field satisfies the Caratheodory conditions and is Lipschitzean with respect to a Kamke function w(t,x) in the state variable, then the set of solutions of the nonconvex problem is dense in the Cx(T)-topology in the set of solutions of the convexified problem.