1.Laboratoire de Physique Théorique,Université Mohammed Seddik Benyahia-Jijel,Jijel,Algeria;2.Département de Mathématiques, Faculté SEI,Université Mohammed Seddik Benyahia-Jijel,Jijel,Algeria
Abstract:
In this paper, we prove a theorem on the existence of extremal solutions to a second-order differential inclusion with boundary conditions, governed by the subdifferential of a convex function. We also show that the extremal solutions set is dense in the solutions set of the original problem.