具偏差变元的脉冲时滞微分方程的周期解

Periodic Solutions for Impulsive Differential Equation with Delays and Deviating Arguments

利用Mawhin重合度理论,研究了一类具偏差变元的脉冲时滞微分方程的周期解问题.得到了该类方程存在周期解的充分性条件,推广了文献[4-5]的主要结果。文中的结果也适用于相应的非脉冲微分方程。

By using coincidence degree theory of Mawhin, we studied a kind of periodic solutions of the impulsive differential equation with delays and deviating arguments. Some sufficient conditions for existence of periodic solutions are obtained. The results improve the works in [4-5], and it also can apply to the corresped- ing non-impulsive differential equations.