一类非瞬时脉冲微分系统的Ulam型稳定性分析  

Ulam-type stability analysis for a class of non-instantaneous impulsive differential system

作　　者：王瑞 寇春海[1] WANG Rui;KOU Chunhai(College of Science,Donghua University,Shanghai 201620,China)

机构地区：[1]东华大学理学院,上海201620

出　　处：《东华大学学报（自然科学版）》2023年第1期126-133,共8页Journal of Donghua University(Natural Science)

基　　金：上海市自然科学基金(19ZR1400500)。

摘　　要：针对一类非瞬时脉冲微分系统,研究其解的存在性和Ulam型稳定性,构造上下解的迭代序列,得到系统的最小解和最大解。基于上下解方法,在标量情形下给出了此类系统Ulam型稳定的充分条件,以一个算例验证所得结论的有效性。The existence of solution and Ulam-type stability for a class of non-instantaneous impulsive differential systems are studied. The monotone iterative sequences of upper and lower solutions are constructed and the minimal and maximal solutions of the equation are obtained. Based on the upper and lower solution methods, the sufficient conditions are given to guarantee the Ulam-type stability of the related scalar equations. An example is provided to illustrate the effectiveness of the obtained results.

关 键 词：非瞬时脉冲微分系统 Ulam型稳定性 上下解方法 时滞 存在性 

分 类 号：O175.13[理学—数学]