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

作　　者：范进军[1] 张雪玲[1] 刘衍胜[1] 

机构地区：[1]山东师范大学数学科学学院,山东济南250014

出　　处：《山东大学学报（理学版）》2012年第6期16-19,33,共5页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11171192)

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。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.

关 键 词：时间测度链 边值问题 正解 锥 不动点 

分 类 号：O175.8[理学—数学]