带p-Laplacian算子的三阶泛函微分方程边值问题正解的存在性  

Existence of Positive Solutions for Boundary Value Problems of Third-order Functional Differential Equation with p-Laplacian Operator

作　　者：张迪 张伟 ZHANG Di;ZHANG Wei(Jiangsu Urban and Rural Construction Vocational College,Changzhou Jiangsu 213000,China;School of Mathematics and Big Date,Anhui University of Science and technology,Huainan Anhui 232001,China)

机构地区：[1]江苏城乡建设职业学院,江苏常州213000 [2]安徽理工大学数学与大数据学院,安徽淮南232001

出　　处：《大学数学》2024年第6期1-9,共9页College Mathematics

基　　金：安徽省自然科学基金资助项目(2208085QA05);安徽高校自然科学研究重点项目(KJ2020A0291);江苏城乡建设职业学院科研项目(2020KYC009)。

摘　　要：该文讨论了一类带p-Laplacian算子的三阶泛函微分方程边值问题,通过对非线性项的合理假设,得到了此边值问题存在一个或三个正解.主要运用的方法是锥上不动点定理,所得结果推广了一些已知的结果.We discuss the boundary value problems for a class of third-order functional differential equation with p-laplacian operator,Under suitable assumptions of the nonlinear term,the existence of one or three positive solutions for the problem are established.The main tool of this paper is the fixed point theorem on cone,Our result generalizes some previous results.

关 键 词：泛函微分方程 边值问题 P-LAPLACIAN算子 锥 不动点定理 

分 类 号：O175.8[理学—数学]