FINITE-TIME STABILITY OF NON-INSTANTANEOUS IMPULSIVE SET DIFFERENTIAL EQUATIONS?

被引：1
|
作者：
Wang, Peiguang [1 ]
Guo, Mengyu [1 ]
Bao, Junyan [1 ]
机构：
[1] Hebei Univ, Sch Math & Informat Sci, Baoding 071002, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Set differential equations; non-instantaneous impulses; finite-time stability; SYSTEMS;
D O I：
10.11948/20220244
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the finite-time stability of non -instant-aneous impulsive set differential equations. By using the generalized Gronwall inequality and a revised Lyapunov method, the finite-time stability criteria for such equations are obtained. Finally, an example is given to illustrate the validity of the results.
引用
收藏
页码：954 / 968
页数：15
相关论文
共 50 条
  • [31] MITTAG-LEFFLER STABILITY FOR NON-INSTANTANEOUS IMPULSIVE CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH DELAYS
    Agarwal, Ravi
    Hristova, Snezhana
    O'Regan, Donal
    MATHEMATICA SLOVACA, 2019, 69 (03) : 583 - 598
  • [32] A New Class of (ω,c)-Periodic Non-instantaneous Impulsive Differential Equations
    Liu, Kui
    Wang, JinRong
    O'Regan, Donal
    Feckan, Michal
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (05)
  • [33] Finite-Time Stability of Impulsive Fractional Differential Equations with Pure Delays
    Xie, Tingting
    Li, Mengmeng
    AXIOMS, 2023, 12 (12)
  • [34] Asymptotic properties of the solutions of nonlinear non-instantaneous impulsive differential equations
    Yang, Dan
    Wang, JinRong
    O'Regan, D.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (15): : 6978 - 7011
  • [35] PERIODIC SOLUTIONS FOR CONFORMABLE TYPE NON-INSTANTANEOUS IMPULSIVE DIFFERENTIAL EQUATIONS
    Ding, Yuanlin
    Wang, Jinrong
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 2021 (94)
  • [36] Lyapunov regularity and stability of linear non-instantaneous impulsive differential systems
    Wang, JinRong
    Li, Mengmeng
    O'Regan, Donal
    IMA JOURNAL OF APPLIED MATHEMATICS, 2019, 84 (04) : 712 - 747
  • [37] Lipschitz Stability of Differential Equations With Supremum And Non-instantaneous Impulses
    Hristova, S.
    Dobreva, A.
    Ivanova, K.
    SEVENTH INTERNATIONAL CONFERENCE ON NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES 2020), 2021, 2321
  • [38] LIPSCHITZ STABILITY OF DELAY DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES
    Hristova, S.
    Ivanova, K.
    DYNAMIC SYSTEMS AND APPLICATIONS, 2019, 28 (01): : 167 - 181
  • [39] Practical Stability of Differential Equations with Supremum and Non-Instantaneous Impulses
    Hristova, Snezhana
    Dobreva, Antonia
    APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE20), 2021, 2333
  • [40] Generalized Exponential Stability of Differential Equations with Non-instantaneous Impulses
    Hristova, Snezhana
    Ivanova, Krasimira
    Kostadinov, Todor
    PROCEEDINGS OF THE 43RD INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'17), 2017, 1910
12345