三阶非线性三点边值问题解的存在性和唯一性  

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

作　　者：王国灿[1] 李莉[1] 

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》2015年第3期109-112,共4页Journal of Dalian Jiaotong University

摘　　要：用Volterra型积分算子和微分不等式技巧,研究了某一类三阶微分方程非线性三点边值问题,得到了解的存在性与唯一性,此外,在适当的条件下,通过构造具体的上下解,刻划了方法的应用性.Nonlinear three-point boundary value problems for a class of third order differential equations is studied by Voherra type operator and differential inequality, and the existence and uniqueness of solution are obtained. The result shows the feasibity that by constructing upper and lower solutions based on suit condition.

关 键 词：三阶微分方程 非线性三点边值问题 存在性与唯一性 微分不等式 

分 类 号：O175.8[理学—数学]