一类非线性微分方程三阶三点边值问题三个正解的存在性  

The Existence of Three Positive Solutions for a Third-order Three-point Boundary Value Problems of a Class of Nonlinear Differential Equations

作　　者：武晨[1] WU Chen(Branch of Nanjing JiangSu Union Technical Institute,210019,Nanjing,Jiangsu,China)

机构地区：[1]江苏联合职业技术学院南京分院,江苏南京210019

出　　处：《淮北师范大学学报（自然科学版）》2022年第3期7-10,共4页Journal of Huaibei Normal University：Natural Sciences

基　　金：江苏高校哲学社会科学基金项目(2021SJB0239);江苏联合职业技术学院立项课题(B/2020/10/005)。

摘　　要：文章讨论一个三阶三点边值问题正解的存在性,利用Leggett-Williams不动点定理证明当非线性项f满足适当条件下,该边值问题至少存在三个正解,结论进一步推广前人相关研究结果.In this paper,the existence of positive solution for a third-order three-point boundary value problems is studied.By using Leggett-Williams fixed-point theorem,it proves that there are at least three positive solutions for the boundary value problems when nonlinear term f satisfies appropriate conditions,which further extends the results of predecessors′research.

关 键 词：三阶三点边值问题 LEGGETT-WILLIAMS不动点定理 正解 格林函数 

分 类 号：O175.8[理学—数学]