时滞微分方程和脉冲时滞微分方程解的存在唯一性  

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR DIFFERENTIAL EQUATIONS WITH TIME DELAY AND IMPULSIVE DIFFERENTIAL EQUATIONS WITH TIME DELAY

作　　者：王晓[1] 崔诚[1] 肖莉[1] 刘安平[1] 

机构地区：[1]中国地质大学数学与物理学院,湖北武汉430074

出　　处：《数学杂志》2013年第4期683-688,共6页Journal of Mathematics

基　　金：中央高校基本科研业务费专项资金(CUG090112)

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].

关 键 词：时滞 脉冲 耦合上下解 存在性 唯一性 

分 类 号：O175.27[理学—数学]