Stability of impulsive delay differential equations with impulses at variable times

被引:18
|
作者
Zhang, Y [1 ]
Sun, JT [1 ]
机构
[1] Tongji Univ, Shanghai 200092, Peoples R China
来源
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2005年 / 20卷 / 03期
基金
上海市自然科学基金; 中国国家自然科学基金;
关键词
D O I
10.1080/14689360500137515
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper considers the stability of the zero solution of impulsive delay differential equations with impulses at variable times. By means of Lyapunov functions and the Razumikhin technique, some sufficient conditions of uniform stability and uniform asymptotic stability for the delay differential equation with impulses at variable times are obtained.
引用
收藏
页码:323 / 331
页数:9
相关论文
共 50 条
  • [21] Ultimate boundedness of impulsive stochastic delay differential equations with delayed impulses
    Liu, Zhiguang
    Zhu, Quanxin
    STATISTICS & PROBABILITY LETTERS, 2023, 199
  • [22] Uniform stability theorems for delay differential equations with impulses
    Liang Ruixi
    Shen Jianhua
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 326 (01) : 62 - 74
  • [24] Impulsive neutral functional differential equations with variable times
    Benchohra, M
    Ouahab, A
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 55 (06) : 679 - 693
  • [25] On Regulated Solutions of Impulsive Differential Equations with Variable Times
    Caponetti, Diana
    Cichon, Mieczyslaw
    Marraffa, Valeria
    MATHEMATICS, 2020, 8 (12) : 1 - 15
  • [26] DIFFERENTIAL EQUATIONS WITH IMPULSES AT VARIABLE TIMES IN FRACTIONAL POWER SPACES
    Peng, Y.
    Wei, W.
    Xiang, X.
    DYNAMIC SYSTEMS AND APPLICATIONS, 2012, 21 (2-3): : 377 - 391
  • [27] A class of differential equations with impulses at variable times on Banach spaces
    Peng, Y.
    Xiang, X.
    Wang, C.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : E1312 - E1319
  • [28] Partial hyperbolic implicit differential equations with variable times impulses
    Abbas, Said
    Benchohra, Mouffak
    Slimani, Boualem Attou
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2015, 60 (01): : 61 - 73
  • [29] Asymptotic Stability of a Class of Impulsive Delay Differential Equations
    Zhang, G. L.
    Song, M. H.
    Liu, M. Z.
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [30] Exponential stability for differential equations with random impulses at random times
    Agarwal, Ravi
    Hristova, Snezhana
    O'Regan, Donal
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,