一类微分差分方程的周期解

The Periodic Solution of a Class of Differential Difference Equation

泛函微分方程周期解的存在性问题是重要而困难的。文[1—3]分别用Kaplan—Yorke方法研究了含一个滞量的微分差分方程的周期解问题。文[4]用Kaplan-Yorke方法研究了含二个滞量的微分差分方程周期解的存在性问题。

In this paper, the sufficient condition about the existence of periodic so-lutions of a class of idfferential difference equation x'(t)=g(x(t))[f(x(t--τ_1)) + f(x(t--τ_2)) + ... + f(x(t--τ_n))]is obtained by using addition of solutions. the Kaplan--York's method is improved andextended.