On some properties of positive solutions for a third-order three-point boundary value problem with a parameter

被引：9

作者：

Zhai, Chengbo ^{[1
]}

Zhao, Li ^{[1
]}

Li, Shunyong ^{[1
]}

Marasi, H. R. ^{[2
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

[2] Univ Tabriz, Tabriz, Iran

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

关键词：

third-order differential equation; three-point boundary value problem; fixed point theory; properties of positive solutions; EXISTENCE; EIGENVALUE; EQUATION;

D O I：

10.1186/s13662-017-1246-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we discuss some properties of positive solutions for a third-order differential equation with three-point boundary conditions and a positive parameter. By using recent fixed point theory, we establish the existence and uniqueness of positive solutions for any given parameter, and we show that the positive solution is continuous, increasing with respect to the parameter. Moreover, we give some properties of limits for positive solutions. An example is provided to demonstrate the main result.

引用

页数：11

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