一类高阶Rayleigh型方程周期解的存在性

Existence of Periodic Solution for High Order Rayleigh Equation

本文利用重合度理论研究一类高阶Rayleigh型方程x(n)(t)+f(x’(t))+g(x(t-τ(t)))=p(t)周期解的存在性,获得了其2π-周期解存在性的若干结论。

A type of high order Rayleigh equationx^（n）（t）＋f（x＇（t））＋g（x（t-τ（t）））=p（t） is considered in this paper. Using the theory of coincidence degree, some results on 2 π -periodic solution can be obtained.