具有三点非线性边值问题的三阶非线性方程  

Nonlinear Three-Point Boundary Value Problem for Third Order Nonlinear Equation

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》2020年第2期113-114,共2页Journal of Dalian Jiaotong University

摘　　要：利用上下解方法和积分算子理论,研究了一类三阶非线性三点边值问题,引入适当的条件,构造合适的上下解,得到了相关问题解的存在性与唯一性.Three-point boundary value problems for a class of third order nonlinear differential equations are studied by upper and lower solutions,and the existence and uniqueness of solution are obtained.

关 键 词：非线性三阶方程 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]