高阶非线性微分方程的周期解

Periodic solution of the higher order nonlinear differential equation

利用重合度理论研究一类高阶时滞微分方程x(n)(t)+h(x′(t))+f(x(t))x′(t)+g(x(t-τ(t)))=p(t)周期解问题,得到T(T>0)周期解存在性的新结果,推广了已有的结果。

By employing the coincidence degree,a kind of higher order differential equations with delay and the equation x^（n）（t）＋h（x （t））＋f（x（t））x （t）＋g（x（t-τ（t）））=p（t） are studied.Some new results on the existence of T（T〉0） periodic solutions are obtained,which generalizes the known results.