SECOND ORDER DIFFERENTIAL INCLUSION WITH UNBOUNDED NONCONVEX MOVING SETS

被引：0

作者：

Mecemma, Imene ^{[1
]}

Lounis, Sabrina ^{[1
]}

Yarou, Mustapha Fateh ^{[1
]}

机构：

[1] Univ Jijel, Fac Exact Sci & Comp Sci, Dept Math, Lab LMPA, Jijel 18000, Algeria

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2023年 / 85卷 / 04期

关键词：

Moreau's sweeping process; second order differential inclusion; prox regular sets; truncation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove, in this work, an existence result for a class of second order nonconvex sweeping processes depending on both time and state, subject to unbounded external forces known as perturbations, in infinite dimensional Hilbert spaces. The approach is based on Moreau's catching-up algorithm. In order to deal with a large class of unbounded nonconvex sets, we assume a truncated condition. An application for a class of quasi-variational inequality is given.

引用

页码：67 / 78

页数：12

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