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] 

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》2012年第3期86-89,共4页Journal of Dalian Jiaotong University

摘　　要：利用积分算子和微分不等式技巧,研究了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.In this paper, three-point boundary value problems for a class of third order nonlinear differential equations is studied by upper and lower solutions, the existence and uniqueness of solution are obtained.

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]