一类n阶微分方程的周期解问题

Periodic Solutions for a Class of n th Differential Equations

利用重合度理论,研究了一类n阶微分方程x(n)(t)+f(x′(t),…,x(n-1)(t))+g(x(t-γ(t)))=p(t)的周期解的存在性,得到了周期解存在的若干新结果。

In this paper,by using the coincidence degree theory,we investigate periodic solutions for a class of n th differential equations x^n（t）＋f（x′（t）,…,x^（n-1）（t））＋g（x（t-γ（t））=p（t）. Some new results for the existence of periodic solution of the equations are obtained.