高阶非线性时滞微分方程的周期解

Periodic Solution of Higher Order Nonlinear Differential Equation with Delay

利用重合度理论研究一类高阶时滞泛函微分方程x（n）（t）＋h（x＇（t））x（t）＋f（x（t））x＇（t）＋g（x（t-τ（t）））=p（t）周期解问题,得到了周期解存在性的若干充分条件.

A kind of periodic solution of higher order functional differential equations with delay is studied x（n）（t）＋h（x′（t））x（t）＋f（x（t））x′（t）＋g（x（t-τ（t）））=p（t）,the sufficient conditions on the existence of periodic solutions are obtained.