EXISTENCE AND UNIQUENESS OF MONOTONE POSITIVE SOLUTIONS FOR A THIRD-ORDER THREE-POINT BOUNDARY VALUE PROBLEM

被引：4

作者：

Zhao, Li ^{[1
]}

Wang, Weixuan ^{[1
]}

Zhai, Chengbo ^{[1
]}

机构：

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

来源：

DIFFERENTIAL EQUATIONS & APPLICATIONS | 2018年 / 10卷 / 03期

关键词：

Monotone positive solution; third-order differential equation; three-point boundary value problem; fixed point theorem of generalized concave operators;

D O I：

10.7153/dea-2018-10-18

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence and uniqueness of monotone positive solutions for a class of nonlinear third-order three-point boundary value problem. The main tool is a fixed point theorem of generalized concave operators in ordered Banach spaces. An example is given to illustrate the main result.

引用

页码：251 / 260

页数：10

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