一类微分差分方程的周期解

Periodic Solutions of Differential Difference Equations

本文研究微分差分方程ｘ＇（ｔ）＝－ｆ（ｘ（ｔ），ｘ（ｔ－τ１））－ｆ（ｘ（ｔ），ｘ（ｔ－τ２））－．．．－ｆ（ｘ（ｔ），ｘ（ｔ－τｎ））非平凡周期解的存在性问题，得到了一些判别准则，推广和改进了文［１－４］的工作。

This paper considers the existence of nontrivial Periodic solutions of the differential difference equation x' (t) = -f(x(t),x(t-τ1) )-f(x(t),x(t-τ2)) -...-f(x(t), x(t-τn) ) some new existence criteria are obtained, the results of Paper[1-4] are extended and improved.