一类脉冲时滞微分方程解的吸引性

摘要

The attractivity of periodic solution for a class of first order impulsive delay differential equations was discussed,the sufficient conditions of all positive solutions globally attracting to y＊（t）were obtained by using the theory of differential inequality.When m=n,the results are the same as those of the given references.The results extend the corresponding known results in literature and provide more application values.%研究了一类一阶脉冲时滞微分方程周期解的吸引性。利用微分不等式的相关理论,证明了方程所有正解全局吸引于y^＊（t）的充分条件。当m=n时,结果即为已知文献的相关结论,推广了已有文献中的相关结果,具有一定的理论意义和较强的实际应用价值。