Perturbed second-order state-dependent Moreau's sweeping process

Volume 4, Issue 1
Winter 2022
Pages 9-23

Document Type : Original Article

Authors

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.
  • Receive Date 26 August 2021
  • Revise Date 19 November 2021
  • Accept Date 22 November 2021