Truncated Perturbation to Evolution Problems Involving Time-Dependent Maximal Monotone Operators

被引：0

作者：

Boudjerida, Nouha ^{[1
]}

Affane, Doria ^{[1
]}

Yarou, Mustapha Fateh ^{[1
]}

机构：

[1] Univ Jijel, Fac Exact Sci & Comp, Lab Pure & Appl Math, Jijel 18000, Algeria

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2024年 / 45卷 / 02期

关键词：

maximal monotone operator; evolution inclusion; absolutely continuous variation; set-valued perturbation; truncation; relaxation; SWEEPING PROCESS; DIFFERENTIAL-INCLUSIONS; BV SOLUTIONS; RELAXATION; EXISTENCE;

D O I：

10.1134/S1995080224600298

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the study of an evolution inclusion with unbounded nonconvex valued perturbation that is driven by a time-dependent maximal monotone operator. As well the examination of the inclusion when the perturbation term is convexified. We establish the existence of solutions and the relaxation property between these evolution inclusions via the truncated Lipschitz property.

引用

页码：621 / 635

页数：15

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