摘要
本文利用存在性定理,考察了二阶常微分方程两点、三点以及m-点边值问题正解的存在性.在较弱的条件下,给出了几类边值问题至少有一个正解存在的充分性条件.所得结果改进和推广了文献中的相应结论.
This paper is concerned with the existence of positive solutions for second order ordinary differential equations with two-point, three-point and m-point boundary value problems by using an existence theorem. Some sufficient conditions guaranteeing the existence of at least one positive solution of several classes of boundary value problems are established under weaker conditions. The results generalize and improve some previous results.
出处
《工程数学学报》
CSCD
北大核心
2011年第3期419-426,共8页
Chinese Journal of Engineering Mathematics
关键词
正解
存在性定理
边值问题
positive solution
existence theorem
boundary value problem
