一类高阶脉冲时滞微分方程的周期解

Periodic solutions to higher order nonlinear impulsive differential equations with several delays

利用拓扑度理论对一类高阶非线性脉冲泛函微分方程进行了探讨．研究表明在适当的线性周期脉冲扰动下,该脉冲时滞方程保持了原非脉冲时滞方程的周期性,也推广了相关结论．

A kind of high order impulsive delay differential equations are investigated. It is shown that under the appropriate linear periodic impulsive perturbations, the impulsive delay equation preserves the original periodic properties of the non-impulsive delay equations. Our results have improved and generalized some related conclusions in references.