具有脉冲的无限时滞系统的持久性与全局吸引性
Permanence and Global Attractivity of an Impulsive In?nite Delay System
DOI: 10.12677/PM.2019.93050, PDF, 下载: 744  浏览: 2,854 
作者: 张如月, 李建利：湖南师范大学数学系，湖南 长沙
关键词: 脉冲；时滞；持久；全局吸引性；Impulsive； Delay； Permanence； Global Attractivity
摘要: 该文研究了具有脉冲的无限时滞系统的持久性与全局吸引性。利用脉冲微积分方程不等式以及放缩技巧得到所构造的系统是持续生存的。构造合适的Lyapunov函数和一些分析技巧证明其全局吸引性，我们的结果推广和改进了相关文献的结果。
Abstract: In this paper, we study a system with impulsive and infinite delay. By using the comparison theorem of impulsive differential equations and constructing some suitable Lyapunov functionals, we discuss the permanence and global attractivity of the model.
文章引用：张如月, 李建利. 具有脉冲的无限时滞系统的持久性与全局吸引性[J]. 理论数学, 2019, 9(3): 377-385. https://doi.org/10.12677/PM.2019.93050

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