一类非线性微分方程三阶三点边值问题正解的存在性  

THE EXISTENCE OF POSITIVE SOLUTIONS FOR A THIRD-ORDER THREE-POINT BOUNDARY VALUE PROBLEM OF NONLINEAR DIFFERENTIAL EQUATION

作　　者：王珍[1] 朱少平[1] WANG Zhen;ZHU Shao-ping(School of Mathematics and Physics,Jinggangshan University,Ji’an,Jiangxi 343009,China)

机构地区：[1]井冈山大学数理学院,江西吉安343009

出　　处：《井冈山大学学报（自然科学版）》2023年第4期7-10,共4页Journal of Jinggangshan University (Natural Science)

基　　金：江西省教育厅科技计划项目(GJJ201020);井冈山大学教学改革研究项目(XJJG-22-10)。

摘　　要：利用Leray-schauder不动点定理,研究了一类非线性微分方程三阶三点边值问题,至少有一个正解的存在性准则,并且通过举例来说明所得的结论。In this paper,by using Leray-schauder fixed-point theorem,the existence criterion of at least one positive solution to a class of nonlinear three-point boundary value problem of third-order ordinary differential equation was studied.Some examples were given to illustrate the conclusion.

关 键 词：三阶三点边值问题 GREEN函数 正解 LERAY-SCHAUDER不动点定理 

分 类 号：O241.8[理学—计算数学]