Non-convex perturbations of evolution equations with $m$-dissipative operators in Banach spaces
Evgenios P. Avgerinos, N. S. Papageorgiou · Publicationes Mathematicae Debrecen · 2022
In this paper we establish the existence of integral solutions for a nonlinear, multivalued evolution equation of the form x(t) € Ax(t) -f F(i,ar(t)), where A : X -• 2* is an m-dissipative operator and F(«, •) a nonconvex valued perturbation.Our result generalizes a recent existence theorem of Cellina-Marchi (Israel J.Math 46 (1983), pp.l~ll).