Perturbed second-order state-dependent Moreau's sweeping process

Mathematical Analysis and its Contemporary Applications

دوره 4، شماره 1، فروردین 2022، صفحه 9-23   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/maca.2021.1938811.1029

نویسندگان

Doria Affane؛ Mustapha Fateh Yarou^*

LMPA Laboratory, Department of Mathematics, Jijel University, PB98, Cite Ouled Aissa, Jijel, Algeria

چکیده

In this paper, using a discretization approach, the existence of solutions for a class of second-order differential inclusions is stated in finite dimensional setting. The right hand side of the problem is governed by the so-called nonconvex state-dependent sweeping process and contains a general perturbation with unbounded values.

کلیدواژه‌ها

Differential inclusion؛ uniformly prox-regular sets؛ unbounded perturbation؛ absolutely continuous solution