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

页码：677 / 712

页数：36

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