LIPSCHITZ PERTURBATION TO EVOLUTION INCLUSION DRIVEN BY TIME-DEPENDENT MAXIMAL MONOTONE OPERATORS

被引：6
|
作者：
Castaing, Charles [1 ]
Saidi, Soumia [2 ]
机构：
[1] Univ Montpellier, IMAG, CNRS, Montpellier 2,Case Courrier 051, F-34095 Montpellier 5, France
[2] Mohammed Seddik Ben Yahia Univ, LMPA Lab, Dept Math, Jijel, Algeria
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2021年 / 58卷 / 02期
关键词：
Evolution inclusion; fractional; maximal monotone operator; re-laxation; subdifferential; viscosity; Young measure; DIFFERENTIAL-INCLUSIONS; CONTROL-SYSTEMS; RELAXATION; EXISTENCE; THEOREM; SETS;
D O I：
10.12775/TMNA.2021.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An evolution inclusion driven by a time-dependent maximal monotone operator and a Lipschitz closed valued perturbation, in a separable Hilbert space is considered. The inclusion with a convexified perturbation term is also studied. Then, the existence of solutions and the relaxation property between these evolution inclusions are proved. Applications to dynamical systems governed by a couple of a fractional equation and an evolution inclusion involving time-dependent maximal monotone operators with a Lipschitz perturbation are presented.
引用
收藏
页码：677 / 712
页数：36
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