非线性三阶方程三点边值问题解的存在性和唯一性  

Existence and Uniqueness of Nonlinear Third Order Equation for Three Point Boundary Value Problem

作　　者：王国灿[1] WANG Guocan(School of Science,Dalian Jiaotong University,Dalian 116028,China)

机构地区：[1]大连交通大学理学院,辽宁大连116028

出　　处：《大连交通大学学报》2022年第5期112-114,共3页Journal of Dalian Jiaotong University

摘　　要：利用一种积分算子和上下解技巧,研究了一类非线性三阶微分方程具有非线性三点边值条件的一般问题,得到了解的存在性与唯一性.The three-point boundary value problems for a class of third order nonlinear differential equations are studied by upper and lower solutions,the existence and uniqueness of solution are obtained.

关 键 词：非三线性阶微分方程 非线性三点边值问题 存在性与唯一性 上下解 

分 类 号：O175.8[理学—数学]