EXISTENCE OF POSITIVE SOLUTIONS FOR p-LAPLACIAN THREE-POINT BOUNDARY-VALUE PROBLEMS ON TIME SCALES

被引：0

作者：

Sun, Hong-Rui ^{[1
]}

Wang, Ying-Hai ^{[2
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

[2] Lanzhou Univ, Sch Phys Sci & Technol, Lanzhou 730000, Gansu, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年

基金：

中国博士后科学基金;

关键词：

Time scales; p-Laplacian; positive solution; cone; fixed point;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article shows the existence of positive solutions for a class of p-Laplacian three-point boundary-value problem on time scales. By using several fixed point theorems in cones, we establish conditions for the existence of at least one, two or three positive solutions for the boundary-value problems. Our results are new even for the corresponding differential (T = R) and difference equation (T = Z), and for the general time scales setting. An example is also given to illustrate our results.

引用

页数：14

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