摘要
考察了一类含有一阶导数的奇异二阶三点边值问题的解和正解,其中非线性项是Caratheodory函数。通过引入非线性项的高度函数建立了两个存在定理,主要结论表明,只要在某个有界集合上高度函数的积分是适当的,该问题存在一个解或者正解。
The solution and positive solution are considered for a class of singular second - order three - point boundary value problems with first derivative, where the nonlinear term is a Caratheodory function. By introducing the height function of nonlinear term, two existence theorems are established. The main results show that the problem has one solution or positive solution providrd the integration of height function is appropriate on a bounded set.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2008年第6期882-886,共5页
Journal of Natural Science of Heilongjiang University
基金
国家自然科学基金资助项目(10571085)
关键词
非线性常微分方程
多点边值问题
奇异性
解和正解
存在性
nonlinear ordinary differential equation
muhipoint boundary value problem
singularity
solution and positive solution
existence
