一类高阶微分方程的周期解

Periodic Solutions of a Type of Higher Order Differential Equations

讨论了形如ｘ（ｍ）＋ａｍ－１ｘ（ｍ－１）＋…＋ａ１ｘ′＋ｇ（ｘ）＝ｐ（ｔ）的一类高阶微分方程周期解的存在性，在文［１，２］的基础上得到了一些新的结果。

Abstract In this paper, we discuss the existence of periodic solutions for a type of higher order differential equations of the form x (m) +a m-1 x (m-1) +…+a 1x′+g(x)=p(t), We obtain some new results that extend some known results.