On a class of evolution problems driven by maximal monotone operators with integral perturbation

被引：0
|
作者：
Fennour, Fatima [1 ]
Saidi, Soumia [1 ]
机构：
[1] Univ Jijel, Fac Exact Sci & Informat, Dept Math, LMPA Lab, Jijel 18000, Algeria
来源：
CUBO-A MATHEMATICAL JOURNAL | 2024年 / 26卷 / 01期
关键词：
Integro-differential inclusion; maximal monotone operator; integral perturbation; opti- mal solution; PRINCIPLE;
D O I：
10.56754/0719-0646.2601.123
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper is dedicated to the study of a first -order differential inclusion driven by time and state -dependent maximal monotone operators with integral perturbation, in the context of Hilbert spaces. Based on a fixed point method, we derive a new existence theorem for this class of differential inclusions. Then, we investigate an optimal control problem subject to such a class, by considering control maps acting in the state of the operators and the integral perturbation.
引用
收藏
页码：123 / 151
页数：29
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