International Journal of Nonlinear Analysis and Applications
Perturbed First Order State Dependent Moreau's Sweeping Process
Document Type : Research Paper
Authors
1 LMPA Laboratory, Department of Mathematics, Faculty of exact sciences ans computer sciences, MSBY University, Jijel, Algeria
2 LMPA Laboratory, Department of Mathematics, Faculty of Exact Sciences and Computer Science, MSBY University, Jijel, Algeria
Abstract
In this paper, we deal with the state-dependent nonconvex sweeping process motivated through quasi-variational inequalities arising in the evolution of sandpiles, quasistatic evolution problems with friction, micromechanical damage models for iron materials. We prove the existence of absolutely continuous solution for the problem in presence of a perturbation, that is an external force applied on the system. The perturbation considered here is general and take the form of a sum of a single-valued Carath'eodory mapping and a set-valued unbounded mapping.
Keywords
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Volume 12, Special Issue
December 2021Pages 605-615
- Receive Date: 11 June 2018
- Accept Date: 20 August 2021