Existence of multiple positive solutions for fourth-order boundary value problems in Banach spaces

被引：11

作者：

Cui, Yujun ^{[1
]}

Sun, Jingxian ^{[2
]}

机构：

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

[2] Xuzhou Normal Univ, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2012年

关键词：

u(0)-positive operator; boundary value problem; positive solution; fixed-point theorem; measure of noncompactness; UNIQUENESS THEOREMS;

D O I：

10.1186/1687-2770-2012-107

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the positive solutions of a fourth-order boundary value problem in Banach spaces. By using the fixed-point theorem of strict-set-contractions, some sufficient conditions for the existence of at least one or two positive solutions to a fourth-order boundary value problem in Banach spaces are obtained. An example illustrating the main results is given.

引用

页数：13

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