带p-Laplacian算子的分数阶微分方程无穷多点边值问题解的存在性  

Existence of Solutions of Fractional p-Laplacian Differential Equation with Infinite-point Boundary Value Conditions

作　　者：孔凡亮[1] 薛婷婷[1] 徐加波 KONG Fan-liang;XUE Ting-ting;XU Jia-bo(School of Mathematics and Physics,Xinjiang Institute of Engineering,Urumqi 830023,China;School of Information Engineering,Xinjiang Institute of Engineering,Urumqi 830023,China)

机构地区：[1]新疆工程学院数理学院,新疆乌鲁木齐830023 [2]新疆工程学院信息工程学院,新疆乌鲁木齐830023

出　　处：《数学的实践与认识》2020年第21期258-268,共11页Mathematics in Practice and Theory

基　　金：新疆维吾尔自治区高校科研计划自然科学项目(XJEDU2017M041)。

摘　　要：讨论了带有p-Laplacian算子的分数阶微分方程无穷多点边值问题解的存在性,利用Schauder不动点定理和上下解方法得到了方程至少存在一个解的充分条件,最后举例来验证结论的有效性.This paper is concerned with existence of solutions of a class of infinite-point boundary value problem for fractional differential equations with p Laplacian operator.Suf-ficient condition which guarantees the existence of at least one solution is obtained by using the method of upper and lower solutions together with the Schauder fixed point theorem.As an application,one example is presented to illustrate the result.

关 键 词：P-LAPLACIAN算子 无穷多点边值问题 上下解 

分 类 号：O175.8[理学—数学]