一类具有分布时滞Duffing方程的周期解

Periodic Solution for a Class of Duffing Equation with Distributed Delays

考虑具有分布时滞的Duffing型方程ax″+bx+g∫τ0x(t-s)dη(s)=p(t),运用重合度理论,获得了此方程至少存在一个周期解的充分条件.

In this paper, the duffing equation ax″＋bx＋g（∫0^τx（t-s）dη（s））=p（t）is considered using the theory ofcoincidence degree, and the sufficient conditions for its there being at least a 2π- periodic solution are obtained.