节点文献
用重合度方法解一类高阶时滞微分方程周期解的存在性
Using Coincidence Degree Theory to Study the Existence of Periodic Solution for a Kind of High-order Differential Equations with Delay
【摘要】 本文通过使用重合度理论,构造新算子,使用新技巧,得到了一类高阶时滞微分方程周期解存在性的充分条件,推广和改进了已有文献中的相关结果.
【Abstract】 In this paper,we constructed a new operator using coincidence degree theory.We improved priori estimate and got a sufficient condition of existence of periodic solutions for a class of high order differential equations with delay,which promoted and improved the results.
【关键词】 高阶微分方程;
时滞;
周期解;
重合度理论;
【Key words】 high order differential equation; time-delay; periodic solution; coincidence degree theory;
【Key words】 high order differential equation; time-delay; periodic solution; coincidence degree theory;
【基金】 国家自然基金资助项目(No.60572104);北京自然科学基金项目(No.KM200710005017)
- 【文献出处】 中央民族大学学报(自然科学版) ,Journal of Minzu University of China(Natural Sciences Edition) , 编辑部邮箱 ,2010年03期
- 【分类号】O175.1
- 【被引频次】2
- 【下载频次】67