时间尺度上半正三点边值问题的正解

华东师范大学学报(自然科学版) ›› 2012, Vol. 2012 ›› Issue (5): 101-108.

时间尺度上半正三点边值问题的正解

王颖

安徽科技学院数学系, 安徽凤阳 233100

收稿日期:2012-02-01 修回日期:2012-05-01 出版日期:2012-09-25 发布日期:2012-09-29

Positive solutions of the semipositone three-point boundary value problem on time scales

WANG Ying

Department of Mathematics, Anhui Science and Technology University, Fengyang Anhui 233100, China

Received:2012-02-01 Revised:2012-05-01 Online:2012-09-25 Published:2012-09-29

摘要/Abstract

摘要： 利用 Leggett-Williams~不动点定理, 研究了时间尺度上半正三点边值问题正解的存在性, 得到了至少有两个正解存在的结果. 推广和改进了一些已有结果, 并举一个例子来验证主要结论.

关键词: 正解, 半正, 定点定理, 时间尺度

Abstract: The existence of positive solutions for semipositone three-point boundary value problem on time scales was discussed, by using the Leggett-Williams fixed point theorem; the existence of at least two positive solutions was obtained. The results extend and improve some known results. As an application, an example was given to demonstrate the main result.

Key words: positive solution, semipositone, fixed point theorem, time scales

中图分类号:

O175.8

王颖. 时间尺度上半正三点边值问题的正解[J]. 华东师范大学学报(自然科学版), 2012, 2012(5): 101-108.

WANG Ying. Positive solutions of the semipositone three-point boundary value problem on time scales[J]. Journal of East China Normal University(Natural Sc, 2012, 2012(5): 101-108.

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