节点文献
一阶中立型微分系统周期解的存在性与唯一性
Existence and Uniqueness of Periodic Solutions for a Class of Neutral Differential System
【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.
【Abstract】 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 difierentiai 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.
【关键词】 中立型;
微分系统;
周期解;
存在性;
唯一性;
不动点理论;
【Key words】 neutral; differential system; periodic solutions; existence; uniqueness; fixed point theory;
【Key words】 neutral; differential system; periodic solutions; existence; uniqueness; fixed point theory;
【基金】 湖南省自然科学基金(12JJ3007);湖南省教育科学研究(10C0656,11C0413)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2012年17期
- 【分类号】O175
- 【下载频次】56