摘要
In this article, the author is devoted to establish the multiplicity of positive periodic solutions to second-order singular differential systems. It is proved that such a problem has at least two positive solutions under our reasonable conditions. The proof relies on a nonlinear alternative of Leray- Schauder type and Krasnoselskii fixed point theorem in cones.
In this article, the author is devoted to establish the multiplicity of positive periodic solutions to second-order singular differential systems. It is proved that such a problem has at least two positive solutions under our reasonable conditions. The proof relies on a nonlinear alternative of Leray Schauder type and Krasnoselskii fixed point theorem in cones.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2006年第B12期1105-1114,共10页
Acta Mathematica Scientia
基金
The work was supported by science fundation for young teachers of Northeast Normal University (20060108).
关键词
不动点定理
凸锥
二阶常微分方程
正周期解
Singular
Periodic solution
Leray-Schauder alternative
Fixed point theorem in cones
