Existence results of semilinear differential variational inequalities without compactness

被引：10

作者：

Lu, Liang ^{[1
]}

Liu, Zhenhai ^{[2
]}

Motreanu, Dumitru ^{[3
]}

机构：

[1] Guangxi Univ Finance & Econ, Sch Informat Stat, Guangxi Key Lab Cultivat Base Cross Border Ecomme, Nanning, Peoples R China

[2] Yulin Normal Univ, Guangxi Coll & Univ Key Lab Complex Syst Optimiza, Yulin, Peoples R China

[3] Univ Perpignan, Dept Math, Perpignan, France

来源：

OPTIMIZATION | 2019年 / 68卷 / 05期

基金：

中国国家自然科学基金; 欧盟地平线“2020”;

关键词：

Semilinear evolution equation and inclusion; generalized variational inequality; existence of mild solution; weak topology technique; nonlocal boundary condition; EVOLUTION INCLUSIONS; CONTROLLABILITY; EQUATIONS; DRIVEN;

D O I：

10.1080/02331934.2019.1571057

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The purpose of this paper is to study a class of semilinear differential variational systems with nonlocal boundary conditions, which are obtained by mixing semilinear evolution equations and generalized variational inequalities. First we prove essential properties of the solution set for generalized variational inequalities. Then without requiring any compactness condition for the evolution operator or for the nonlinear term, two existence results for mild solutions are established by applying a weak topology technique combined with a fixed point theorem.

引用

页码：1017 / 1035

页数：19

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