摘要
对一类奇异两点边值问题,在很一般的条件下,证明了振动问题的可解性与一类全连续映象不动点的存在性是等价的,并且给出了摄动问题的可解性与原问题的可解性之间的关系。
This paper deals with the existence of positive solutions for a class singular two point boundary value problems. It is shown that existence criteria can be established by using fixed point theory of completely continuous operators for the perturbed problems. The relations between the perturbed problems and the original problems have been given. The theorems obtained are very general.
出处
《应用数学学报》
CSCD
北大核心
2000年第1期122-129,共8页
Acta Mathematicae Applicatae Sinica