摘要
利用Krasnoselskii不动点理论,用分析的方法,获得了这一类微分系统周期解存在性与唯一性的充分条件.研究方法异于相关文献中常用的方法,获得的主要结论是新的.
using the analytical method and utilizing Krasnoselskii fixed point theory ,this paper qualitative and quantitative study the existence of periodic solutions for a class of neutral differential systems, and obtains some sufficient conditions of existence and uniqueness of periodic solution for this class systems. Our research method is different from the relevant literature,commonly used method, the main conclusions obtained are new, and promote the literature of the main conclusions.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第17期192-198,共7页
Mathematics in Practice and Theory
基金
湖南省自然科学基金(12JJ3007)
湖南省教育科学研究(10C0656
11C0413)
关键词
中立型
微分系统
周期解
存在性
唯一性
不动点理论
neutral
differential system
periodic solutions
existence
uniqueness
fixed pointtheory