摘要
本文研究了奇异二阶微分系统Neumann边值问题的多重正解,证明了在适当的条件下该问题至少存在两个解.其中第一个正解的存在性应用了非线性Leray-Schauder抉择定理,第二个解用到了Kras- noselskii锥不动点定理.
This paper is devoted to establish the multiplicity of positive solutions to secondorder singular Neumann boundary value problems of differential systems. It is proved that such a problem has at least two positive solutions under our reasonable conditions. The existence of the first solution is obtained by using a nonlinear alternative of Leray-Schauder, and the second one is found by using a Krasnoselskii fixed point theorem ;n
出处
《应用数学学报》
CSCD
北大核心
2008年第6期1035-1045,共11页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(10571021)
东北师范大学自然科学青年基金(20050102)资助项目
