Controllability of non-autonomous nonlinear differential system with non-instantaneous impulses

被引：25
|
作者：
Malik, Muslim [1 ]
Dhayal, Rajesh [1 ]
Abbas, Syed [1 ]
Kumar, Avadhesh [1 ]
机构：
[1] Indian Inst Technol Mandi, Sch Basic Sci, Kamand 175005, HP, India
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 113卷 / 01期
关键词：
Controllability; Non-autonomous differential system; Non-instantaneous impulses; Rothe's fixed point theorem; EXISTENCE; EQUATIONS;
D O I：
10.1007/s13398-017-0454-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we applied the Rothe's fixed point theorem to study the controllability of non-autonomous nonlinear differential system with non-instantaneous impulses in the space Rn. Also, we established the sufficient conditions for the controllability of the integro-differential equation as well as nonlocal problem. Finally, we have given an example to illustrate the application of these proposed results.
引用
收藏
页码：103 / 118
页数：16
相关论文
共 50 条
  • [21] Lipschitz stability of differential equations with non-instantaneous impulses
    Hristova, Snezhana
    Terzieva, Radoslava
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [22] NON-INSTANTANEOUS IMPULSES IN CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS
    Agarwal, Ravi
    Hristova, Snezhana
    O'Regan, Donal
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2017, 20 (03) : 595 - 622
  • [23] Total controllability of non-autonomous second-order measure evolution systems with state-dependent delay and non-instantaneous impulses
    Wang, Yang
    Liu, Yongyang
    Liu, Yansheng
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2023, 20 (02) : 2061 - 2080
  • [24] Approximate controllability of fractional stochastic differential equations driven by Rosenblatt process with non-instantaneous impulses
    Dhayal, Rajesh
    Malik, Muslim
    CHAOS SOLITONS & FRACTALS, 2021, 151
  • [25] PERIODIC SOLUTIONS TO SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES
    Muslim, Malik
    Kumar, Avadhesh
    Feckan, Michal
    DYNAMIC SYSTEMS AND APPLICATIONS, 2017, 26 (02): : 197 - 209
  • [26] Feasibility of variable delay fuzzy fractional stochastic differential system with non-instantaneous impulses
    Shalini, Manjitha Mani
    Kandasamy, Banupriya
    Rangasamy, Maheswari
    Dhandapani, Prasantha Bharathi
    Zeb, Anwar
    Khan, Ilyas
    Omer, Abdoalrahman S. A.
    APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING, 2025, 33 (01):
  • [27] PROPERTIES OF THE SOLUTIONS TO PERIODIC CONFORMABLE NON-AUTONOMOUS NON-INSTANTANEOUS IMPULSIVE DIFFERENTIAL EQUATIONS
    Ding, Yuanlin
    Liu, Kui
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 2024 (30) : 1 - 22
  • [28] APPROXIMATE CONTROLLABILITY OF NON-AUTONOMOUS SOBOLEV TYPE INTEGRO-DIFFERENTIAL EQUATIONS HAVING NONLOCAL AND NON-INSTANTANEOUS IMPULSIVE CONDITIONS
    Meraj, Arshi
    Pandey, Dwijendra N.
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2020, 51 (02) : 501 - 518
  • [29] Variational method to differential equations with instantaneous and non-instantaneous impulses
    Tian, Yu
    Zhang, Min
    APPLIED MATHEMATICS LETTERS, 2019, 94 : 160 - 165
  • [30] Approximate controllability of semilinear retarded stochastic differential system with non-instantaneous impulses: Fredholm theory approach
    Anukiruthika, K.
    Durga, N.
    Muthukumar, P.
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2021, 38 (02) : 684 - 713
12345