一类高阶时滞微分方程周期解的存在定理

Existence about Periodic Solution for a Class of High Order Differential Equations with Delay

考虑一类高阶时滞微分方程ax(2n)(t)+f[x′(t)]+bx(t)+g[x(t-τ)]=p(t),利用重合度理论,获得了此类方程至少存在一个T-周期解的充分条件。

A class of high order differential equation with delay is considered as follows ax^（2n）（t）＋f[x＇（t）]＋bx（t）＋g[x（t-τ）]=p（t） By using the theory of^oincidence degree, a su^cient condition of existence of at least one T- periodic solution is obtained.