某些微分差分方程的周期解(英文)

PERIODIC SOLUTIONS OF SOME DIFFERENTIAL DIFFERENCE EQUATIONS

本文给出了微分差分方程及 x′(t)=-g(x(t))F(x(t),x(t-1))x′(t)=-g(x(t))F(x(t),x(t-1),…,x(t-n))存在非平凡周期解的充分条件。

Many papers have been establishing the existence of periodic solutions ofdifferential difference equations in recent years.(see[1—6]).Using thetechnique of[3,6],in this paper we obtained some new results.At first,we consider the differential difference equation