一类具时滞高阶泛函微分方程的周期解

Periodic Solutions for a Class of Higher Order Functional Differential Equations with Delays

利用重合度理论和不等式分析技巧,获得一类具时滞高阶泛函微分方程x(2n)+f(x'(t))+h(x(t-σ))x'(t-σ)+g(t,x(t-τ(t)))=p(t)周期解存在的充分性条件,推广和改进了已有文献的相关结果.

By using the coincidence degree and inequality technique, some sufficient conditions for the existence of periodic solu- tions are established for a kind of higher order differential equations with delays such as x（2n）＋f（x′（t）＋h（x（t-σ））x′（t-σ）＋g（t,x（t-τ（t）））=p（t） The results extend and improve some related results in the literatures.