Monotone and convex positive solutions for fourth-order multi-point boundary value problems

被引：1

作者：

Yang Liu ^{[1
,2
]}

Zhang Weiguo ^{[1
]}

Shen Chunfang ^{[2
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

[2] Hefei Normal Univ, Dept Math, Hefei 230061, Anhui, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2011年

基金：

中国国家自然科学基金;

关键词：

multi-point boundary value problem; positive solution; cone; fixed point; DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.1186/1687-2770-2011-21

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence results of multiple monotone and convex positive solutions for some fourth-order multi-point boundary value problems are established. The nonlinearities in the problems studied depend on all order derivatives. The analysis relies on a fixed point theorem in a cone. The explicit expressions and properties of associated Green's functions are also given.

引用

页数：12

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