Exponential stability of random impulsive pantograph equations

被引：9
|
作者：
Vinodkumar, A. [1 ,2 ]
Senthilkumar, T. [2 ]
Liu, Zhongmin [1 ]
Li, Xiaodi [1 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
[2] Amrita Vishwa Vidyapeetham Univ, Amrita Sch Engn, Dept Math, Coimbatore 641112, Tamil Nadu, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 08期
关键词：
exponential stability; Lyapunov function; random impulses; FUNCTIONAL-DIFFERENTIAL EQUATIONS; NEURAL-NETWORKS; EXISTENCE; DELAY; SYSTEMS; INCLUSIONS;
D O I：
10.1002/mma.7218
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the pth moment exponential stable and pth moment weakly exponential stable results for the random impulsive pantograph delay differential equations (RIPDDEs). Further, we obtained some sufficient conditions by using the method of Lyapunov and Razumukhin technique. Finally, we give several numerical examples with their simulations are provided to illustrate the effectiveness of the proposed results.
引用
收藏
页码：6700 / 6715
页数：16
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