带p-Laplacian算子的分数阶时滞微分方程边值问题正解的多重性  

Multiplicity of Positive Solutions for Boundary Value Problems of Fractional Delay Differential Equations with p-Laplacian Operators

作　　者：薛婷婷[1] 孔凡亮[1] 付丽娜[1] XUE Ting-ting;KONG Fan-liang;FU Li-na(School of Mathematics and Physics,Xinjiang Institute of Engineering,Urumqi 830000,China)

机构地区：[1]新疆工程学院数理学院,新疆乌鲁木齐830000

出　　处：《数学的实践与认识》2021年第16期222-229,共8页Mathematics in Practice and Theory

基　　金：新疆维吾尔自治区科技厅青年基金项目(2021D01B35)。

摘　　要：利用Leggett-Williams不动点定理,研究带p-Laplacian算子的分数阶时滞微分方程Sturm-Liouville积分边值问题,得到问题至少存在三个正解的结果.In this paper,by using Leggett-Williams fixed point theorem,we study SturmLiouville integral boundary value problems for fractional delay differential equation with pLaplacian operator,and obtain that there are at least three positive solutions to the problem.

关 键 词：分数阶p-Laplacian方程 Sturm-Liouville积分边值问题 时滞 LEGGETT-WILLIAMS不动点定理 正解 

分 类 号：O175.8[理学—数学]