一类二阶微分方程的周期解  

Periodic solution for a kind of second order differential equations

作　　者：陈楷城 

机构地区：[1]广东省惠来县第二中学,广东揭阳515200

出　　处：《南阳师范学院学报》2011年第12期23-26,共4页Journal of Nanyang Normal University

摘　　要：利用k-集压缩算子拓扑度抽象连续定理,研究了一类二阶泛函微分方程周期解的存在性,获得了此方程周期解存在的充分条件,这些结果推广并改进了已有文献的相关结果.The existence of periodic solution for a kind of second order functional differential equations was stud- ied by using an abstract continuous theorem of k-set contractive operator, and some sufficient conditions for the existence of periodic solution of the equation were obtained, which extend and improve some known results in the literature.

关 键 词：二阶 泛函微分方程 周期解 K-集压缩算子 

分 类 号：O193[理学—数学]