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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 | ||
| تاریخ دریافت: 21 خرداد 1397، تاریخ پذیرش: 29 مرداد 1400 | ||
| 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 | ||
| مراجع | ||
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