摘要
主要建立了奇异一阶周期系统的多重正解,证明了在适当的条件下这个问题至少存在两个解.第一个正解的存在性是利用非线性L eray-Schauder抉择定理得到的,第二个解是利用K rasnoselsk ii锥不动点定理得到的.
This paper is devoted to establish the multiplicity of positive solutions to first order singular periodic 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-Sehauder, and the second one is found by using a Krasnoselskii fixed point theorem in cones.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第19期173-177,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金资助项目(10571021)
