一类含p-Laplacian算子的分数阶时滞微分方程无穷多点边值问题的正解  

Positive Solutions for a Class of Infinite-point Boundary Value Problems of Fractional Delay Differential Equations with p-Laplacian Operators

作　　者：崔秭月 周宗福[1] CUI Ziyue;ZHOU Zongfu(School of Mathematical Sciences,Anhui University,Hefei 230601,China)

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《应用数学》2023年第3期808-819,共12页Mathematica Applicata

基　　金：安徽省自然科学基金(1608085MA12)。

摘　　要：主要研究一类含有p-Laplacian算子和时滞的分数阶微分方程的无穷多点边值问题.先构造Green函数并分析其性质,再利用p-Laplacian算子的性质和Banach压缩映射原理,得到这类边值问题正解存在唯一的一些新结果.A class of infinite-point boundary value problems of fractional differential equations with p-Laplacian operators and delay is mainly studied.By obtaining the Green function of the equations and analyzing its properties,using the basic properties of the p-Laplacian operator and the Banach compression mapping principle,some new results are obtained for the existence of unique positive solutions of this class of boundary value problems.

关 键 词：分数阶微分方程 时滞 正解 无穷多点 P-LAPLACIAN算子 

分 类 号：O175.8[理学—数学]