中文摘要：

本文利用变分法研究了带阻尼项的脉冲系统的周期解.采用一种新的方法,在一些条件下证明了带周期边界条件的脉冲系统存在临界点.本文不仅推广了已有的结果而且还丰富了研究脉冲系统的方法.

英文摘要：

In this paper,we study the existence of periodic solutions of damped impulsive problems via variational method.By presenting a new approach,we obtain the critical points of impulsive systems with periodic boundary under some assumptions,which generalizes the known results and enriches the research methods of impulsive problems.