摘要
考察了一类含有一阶和二阶导数的非线性三阶三点边值问题的解和正解.通过构造适当的Banach空间并且利用相应的积分方程建立了两个存在定理.主要结论表明,只要非线性项在其定义域的某个子集上的"高度"是适当的,该问题存在一个解或者正解.
The solution and positive solution are considered for a class of nonlinear third-order three- point boundary value problems with first and second derivatives. By construeting suitable Banach space and applying eorresponding integral equation, two existence theorems are established. The main results show that the problem has one solution or positive solution provided the ＂height＂ of nonlinear term is appropriate on some bounded subset of its domain.
出处
《数学杂志》
CSCD
北大核心
2007年第6期704-708,共5页
Journal of Mathematics
关键词
三阶常微分方程
三点边值问题
解和正解
存在性
third-order ordinary differential equation
three-point boundary value problem
solution and positive solution
existence
