时滞微分方程和脉冲时滞微分方程解的存在唯一性

摘要

本文研究了时滞微分方程的问题.利用上下解作为耦合初始迭代得到一个收敛于此方程解的单调序列的方法,获得了时滞方程和脉冲时滞微分方程解的存在唯一性结果,推广了文献[3,5]的相关结果.%In this paper,we discuss the problem of differential equations with time delay.By using upper and lower solutions as coupled initial iterations,we get the monotone sequence converging to the solution of the equations,so we obtain the existence and uniqueness of solutions for differential equations with time delay and the impulsive differential equations with time delay,which extends some corresponding results in [3,5].