具有P-Laplacian算子奇异边值问题正解的唯一性  

Uniqueness of Positive Solutions for the Singular Boundary Value Problems with P-Laplacian Operator

作　　者：王佳丽 彭田 胡卫敏 WANG Jia-li;PENG Tian;HU Wei-min(School of Mathematics and Statistics,Yili Normal University,Yining 835000,China)

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊宁835000

出　　处：《长春师范大学学报》2021年第6期6-9,共4页Journal of Changchun Normal University

基　　金：新疆维吾尔自治区自然科学基金资助项目“具P-Laplacian算子的分数阶微分方程边值问题解的存在性”(2019D01C331)。

摘　　要：讨论了一类具有P-Laplacian算子的奇异非线性分数阶微分方程边值问题正解的唯一性,根据条件得到问题对应的Green函数,再由偏序集上的不动点定理,给出具P-Laplacian算子奇异边值问题正解唯一性的充分条件。This paper discusses the uniqueness of positive solutions for a class of singular nonlinear fractional differential equation boundary value problems with P-Laplacian operator.The Green function of the corresponding problem is obtained according to the condition,and then the sufficient condition for the uniqueness of positive solutions of singular boundary value problems with P-Laplacian operator is given by the fixed point theorem on partial ordered set.

关 键 词：格林函数 奇异 分数阶微分方程 

分 类 号：O175.8[理学—数学]