Perturbed First Order State Dependent Moreau's Sweeping Process

	Perturbed First Order State Dependent Moreau's Sweeping Process
International Journal of Nonlinear Analysis and Applications
دوره 12، Special Issue، اسفند 2021، صفحه 605-615 اصل مقاله (161.59 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.15096.1792
نویسندگان
Doria Affane¹؛ Mustapha Fateh Yarou^* ²
¹LMPA Laboratory, Department of Mathematics, Faculty of exact sciences ans computer sciences, MSBY University, Jijel, Algeria
²LMPA Laboratory, Department of Mathematics, Faculty of Exact Sciences and Computer Science, MSBY University, Jijel, Algeria
چکیده
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.
کلیدواژه‌ها
State-dependent sweeping process؛ prox regular sets؛ proximal subdifferential؛ unbounded perturbation؛ ball-compactness
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