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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
【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.
【Abstract】 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;
【Key words】 time delay; impulsive; coupled upper-lower solution; existence; uniqueness;
【Key words】 time delay; impulsive; coupled upper-lower solution; existence; uniqueness;
【基金】 中央高校基本科研业务费专项资金(CUG090112)
- 【文献出处】 数学杂志 ,Journal of Mathematics , 编辑部邮箱 ,2013年04期
- 【分类号】O175
- 【被引频次】3
- 【下载频次】159