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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, PP. 377-385

Keywords: 脉冲，时滞，持久，全局吸引性
Impulsive, Delay, Permanence, Global Attractivity

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Abstract:

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。
In this paper, we study a system with impulsive and in？nite delay. By using the comparison theorem of impulsive di？erential equations and constructing some suitable Lyapunov functionals, we discuss the permanence and global attractivity of the model.

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