时间测度上带p-Laplace算子的m点边值问题正解的存在性

J4 ›› 2012, Vol. 47 ›› Issue (6): 16-19.

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时间测度上带p-Laplace算子的m点边值问题正解的存在性

范进军,张雪玲,刘衍胜

山东师范大学数学科学学院, 山东济南 250014

收稿日期:2012-01-14 出版日期:2012-06-20 发布日期:2012-06-26
作者简介:范进军(1964- ),男,研究生,教授,研究方向为微分方程.Email:fjj18@126.com
基金资助:
国家自然科学基金资助项目(11171192)

Existence of positive solutions of the m-point boundary value problem with p-Laplace operator on time scales

FAN Jin-jun, ZHANG Xue-ling, LIU Yan-sheng

School of Mathematical Science, Shandong Normal University, Jinan 250014, Shandong, China

Received:2012-01-14 Online:2012-06-20 Published:2012-06-26

摘要/Abstract

摘要：

利用Legget-Williams不动点定理讨论时间测度链上带p-Laplace算子的m点边值问题,得到该问题三个正解的存在性结果,并给出例子说明条件的合理性。

关键词: 时间测度链;边值问题;正解;锥;不动点

Abstract:

The existence of positive solutions of the m-point boundary value problem with p-Laplace operator on time scales are considered. By using the LeggetWilliams fixed point theorem, the existence of three positive solutions is obtained. As an application, an example verified our results.

Key words: time scale; boundary value problem; positive solutions; cone; fixed point

范进军,张雪玲,刘衍胜. 时间测度上带p-Laplace算子的m点边值问题正解的存在性[J]. J4, 2012, 47(6): 16-19.

FAN Jin-jun, ZHANG Xue-ling, LIU Yan-sheng. Existence of positive solutions of the m-point boundary value problem with p-Laplace operator on time scales[J]. J4, 2012, 47(6): 16-19.

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时间测度上带p-Laplace算子的m点边值问题正解的存在性

Existence of positive solutions of the m-point boundary value problem with p-Laplace operator on time scales

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