Uniqueness theorem of differential system with coupled integral boundary conditions

被引：42

作者：

Cui, Yujun ^{[1
,2
]}

Ma, Wenjie ^{[2
]}

Wang, Xiangzhi ^{[3
]}

Su, Xinwei ^{[4
]}

机构：

[1] Shandong Univ Sci & Technol, State Key Lab Min Disaster Prevent & Control Cofo, Qingdao 266590, Peoples R China

[2] Shandong Univ Sci & Technol, Dept Appl Math, Qingdao 266590, Peoples R China

[3] Jinan Technician Coll, Jinan 250200, Shandong, Peoples R China

[4] China Univ Min & Technol, Sch Sci, Beijing 10083, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2018年 / 09期

基金：

中国国家自然科学基金;

关键词：

differential system; coupled integral boundary conditions; spectral radius; Banach's contraction principle; POSITIVE SOLUTIONS; EQUATIONS; EXISTENCE;

D O I：

10.14232/ejqtde.2018.1.9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper is devoted to study the uniqueness of solutions for a differential system with coupled integral boundary conditions under a Lipschitz condition. Our approach is based on the Banach's contraction principle. The interesting point is that the Lipschitz constant is related to the spectral radius corresponding to the related linear operators.

引用

页码：1 / 10

页数：10

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