关于微分差分方程组周期解的存在性

On the Existence of Periodic Solutions of Differential Difference System

目前,对泛函微分方程周期解的存在性问题的研究,主要用不动点原理这个工具,这种方法可用丁证明周期解的存在,但较少涉及周期解的个数与周期。本文采用了一种构造性方法去研究微分差分方程组周期解的存在性,这种方法是由Kaplan与Yorke所引入,井被温立志改进了的,原来被用于研究标量方程,在本文中,首次将它用于研究方程组,

In this paper, the author considers the existence of the periodic solutions of a differential difference system.A sufficient condition which ensures that the system has at least k non-constant periodic solutions and this result is extended to a more general system.