二阶非线性中立型泛函微分方程周期解的存在性  

Existence of Periodic Solutions for Second Order Nonlinear Nature Delay Equations

作　　者：陈楷城 

机构地区：[1]潮州市绵德中学,广东潮州521000

出　　处：《数学的实践与认识》2014年第3期268-273,共6页Mathematics in Practice and Theory

摘　　要：利用κ-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 studied 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：O175[理学—数学]