Document Type : Original Article

Authors

• Doria Affane
• Mustapha Fateh Yarou

LMPA Laboratory, Department of Mathematics, Jijel University, PB98, Cite Ouled Aissa, Jijel, Algeria

Abstract

In this paper, using a discretization approach, the existence of solutions for a class of second-order differential inclusions is stated in finite dimensional setting. The right hand side of the problem is governed by the so-called nonconvex state-dependent sweeping process and contains a general perturbation with unbounded values.

Keywords

• Differential inclusion
• uniformly prox-regular sets
• unbounded perturbation
• absolutely continuous solution