一类非线性微分方程三阶三点边值问题正解的存在性  

Existence of Positive Solution for Nonlinear Third-order Three-point Boundary Value Problem

作　　者：郭丽君[1] GUO Li-jun(Department of Electro and Information Engineering,Lanzhou Jiaotong University Bowen College,Lanzhou Gansu 730101,China)

机构地区：[1]兰州交通大学博文学院电信工程系,甘肃兰州730101

出　　处：《淮阴师范学院学报（自然科学版）》2020年第2期106-108,120,共4页Journal of Huaiyin Teachers College;Natural Science Edition

摘　　要：研究了一类非线性三阶三点边值问题正解的存在,通过使用Schauder不动点定理得到了问题至少有一个正解的存在性.For a long time,the third-order nonlinear differential equation has very important applications in various fields.Therefore,to study the existence of positive solutions of the third-order nonlinear differential equation has high theoretical value and wide application background.The existence of at least one positive solution is obtained by using Schauder fixed point theorem for a third-order three-point boundary value problem.

关 键 词：微分方程 三阶三点边值问题 正解 存在性 SCHAUDER不动点定理 

分 类 号：O175.8[理学—数学]