中文摘要：

讨论了一类具有时滞的Rayleigh型微分方程在脉冲扰动下周期解的存在性．通过将所考虑问题转换成相应的算子方程，得到了解的先验估计，然后利用Mawhln重合度理论，在脉冲项是有界的条件下，得到了该微分方程至少存在一个周期解．所得结果即使对相应的非脉冲aayleigh型方程也是新的．

英文摘要：

The existence of periodic solutions to the Reyleigh equation with delays and impulses is consid- ered. By rewriting the problem into operator equation, a prior estimate of the solution is obtained. And by virtue of the Mawhin＇s coincidence degree theory, several criteria for the existence of at least one periodic solution are established when impulsive term is bounded. Compared with non-impulsive equations, the results obtained are new.