Three positive solutions for high-order m-point boundary value problems with all derivatives

被引：0

作者：

Jiang, Weihua ^{[1
,2
]}

Qiu, Jiqing ^{[2
]}

Guo, Yanping ^{[2
]}

机构：

[1] Hebei Normal Univ, Coll Math & Sci Informat, Shijiazhuang 050016, Hebei, Peoples R China

[2] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Hebei, Peoples R China

来源：

INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL | 2008年 / 4卷 / 06期

关键词：

high-order multi-point boundary value problem; cone; positive solution; Green's function; the five functionals fixed point theorem;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Utilizing the five fanctionals fixed point theorem, we prove the existence of at least three positive solutions for 2nth order m-point boundary value problems. In order to do so, firstly, we give the associated Green's function and its properties. Then we impose growth conditions on the nonlinear term f which ensure the existence of at least three positive solutions. Finally, we give an example to demonstrate our result. Our result extends and improves some of the existing literature.

引用

页码：1477 / 1488

页数：12

共 22 条

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