Degenerate sweeping process with a Lipschitz perturbation

Abstract

In this paper, we prove a theorem concerning the existence and uniqueness of a solution for a degenerate sweeping process with a Lipschitz single valued perturbation in Hilbert space. An application to differential complementarity problems is given.

Keywords:

• Degenerate sweeping process
• perturbation
• differential inclusion
• set-valued map
• normal cone
• monotonicity
• differential variational inequality
• differential complementarity problem

AMS CLASSIFICATIONS:

• 34A60
• 49J52
• 58E35
• 49J21

Disclosure statement

No potential conflict of interest was reported by the authors.