关于一类微分方程的周期解问题

On the Periodic Solution Problems of a Class of Differential Equ ations

本文借助不动点定理 ,建立了一类微分方程的周期解存在性判据 。

In this paper, we consider the nonlinear equation with boun ded delay(t)=F(t,x t),(*)and the second-order nonlinear equation(t)=y(t), (t)=-f(t,y(t))-h(y(t))g(x(t))+p(t)+h(y(t))∫ 0 -τ K(x(t+s))G(y(t+s )) d s.(**)We obtain two theorems on existence of periodic solutions by means of fixed poin t theorem and the Liapunov's second method. The concise expression about the acc urate bounds of delay are obtained. The theorems in this paper include some well -known results as their special cases.