Almost convex valued perturbation to second order sweeping process
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_MACA-5-2_005
تاریخ نمایه سازی: 6 شهریور 1402
Abstract:
This paper deals with nonconvex set-valued perturbation to second order nonlinear evolution system governed by the so-called nonconvex sweeping process for a class of subsmooth moving sets depending on state and velocity. Making use of our recent paper obtained for a convex valued perturbation, we prove a new existence result when the perturbations are \textit{almost convex}. Furthermore, we apply our result in the study of an optimal control problem known as a \textit{minimum time problem}.
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Authors
Doria Affane
LMPA Laboratory, Department of Mathematics, Jijel University, PB۹۸, Cite Ouled Aissa, Jijel, Algeria
Mustapha Fateh Yarou
LMPA Laboratory, Department of Mathematics, Jijel University, PB۹۸, Cite Ouled Aissa, Jijel, Algeria