通过研究一类带周期边界条件的二阶线性算子的性质,运用Schauder不动点定理在较弱的条件下获得奇异二阶系统(1.1)正周期解的存在性,所得结论推广和改进了已有工作的相关结果.
This article studies some qualitative properties of the second order linear operator with periodic conditions, by using the Schauder's fixed-point theorem, we obtained the existence of positive periodic solutions of the singular second-order differential system (1.1). The conclusions in this paper perfect the existed results.