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.
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页数：12
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