一类带p-Laplacian算子的三阶三点边值问题的正解  

Positive Solutions of Third-order Three-point Boundary Value Problem with a p-Laplacian Operator

作　　者：孙琳[1] 顾长超[1] 

机构地区：[1]安徽大学数学科学学院,合肥230601

出　　处：《合肥学院学报（自然科学版）》2012年第3期6-9,共4页Journal of Hefei University :Natural Sciences

基　　金：教育部博士点基金项目(20113401110001)资助

摘　　要：考察了一类带有p-Laplacian算子的三阶三点边值问题的正解,利用Avery-Peteron不动点定理,得到了边值问题正解的存在性的充分条件,从而推广了边值问题解的相关理论.The positive solution is considered for a class of third-order three-point boundary value problem with p-Laplacian operator. By means of Avery-Peteron fixed point theorem, a sufficient condition for the existence of positive solution is obtained.

关 键 词：P-LAPLACIAN算子 不动点定理 三阶边值问题 正解 

分 类 号：O175.1[理学—数学]