Sturm–Liouville Differential Inclusions with Set-Valued Reaction Term Depending on a Parameter

Abstract In this paper we study the controllability for a Cauchy problem governed by nonlinear differential inclusion driven Sturm–Liouville type operator. particular, considered second order involves set-valued reaction term depending on parameter. The key tool in proof of result provide is multivalued version theorem recently proved Haddad–Yarou, here established an initial conditions monitored presenting sum two multimaps right-hand side. We thereby deduce existence local admissible pair control problem, that couple functions consisting control, which measurable function, and correspondent trajectory, absolutely continuous function with derivative. Secondly, under appropriate assumptions involved multimaps, obtain increased regularity solutions produced our result. This same tested Bonanno, Iannizzotto Marras different however