Non-autonomous Evolution Equations of Parabolic Type with Non-instantaneous Impulses

被引：18
|
作者：
Chen, Pengyu [1 ]
Zhang, Xuping [1 ]
Li, Yongxiang [1 ]
机构：
[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Gansu, Peoples R China
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2019年 / 16卷 / 05期
基金：
中国国家自然科学基金;
关键词：
non-autonomous evolution equation; parabolicity condition; non-instantaneous impulse; evolution family; mild solution; FUNCTIONAL-DIFFERENTIAL EQUATIONS; MONOTONE ITERATIVE TECHNIQUE; INTEGRODIFFERENTIAL EQUATIONS; CAUCHY-PROBLEMS; MILD SOLUTIONS; EXISTENCE; CONTROLLABILITY; SYSTEMS;
D O I：
10.1007/s00009-019-1384-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the Cauchy problem to a class of non-autonomous evolution equations of parabolic type with non-instantaneous impulses in Banach spaces, where the operators in linear part (possibly unbounded) depend on time t and generate an evolution family. New existence result of piecewise continuous mild solutions is established under more weaker conditions. At last, as a sample of application, the abstract result is applied to a class of non-autonomous partial differential equation of parabolic type with non-instantaneous impulses. The result obtained in this paper is a supplement to the existing literature and essentially extends some existing results in this area.
引用
收藏
页数：14
相关论文
共 50 条
  • [21] Total controllability of nonlocal semilinear functional evolution equations with non-instantaneous impulses
    Kumar, J.
    Singh, S.
    Arora, S.
    Dabas, J.
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024,
  • [22] NON-AUTONOMOUS STOCHASTIC EVOLUTION EQUATIONS OF PARABOLIC TYPE WITH NONLOCAL INITIAL CONDITIONS
    Chen, Pengyu
    Zhan, Xuping
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (09): : 4681 - 4695
  • [23] Approximate controllability of non-autonomous Sobolev type integro-differential equations having nonlocal and non-instantaneous impulsive conditions
    Arshi Meraj
    Dwijendra N. Pandey
    Indian Journal of Pure and Applied Mathematics, 2020, 51 : 501 - 518
  • [24] 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
  • [25] Controllability of nonlinear ordinary differential equations with non-instantaneous impulses
    Xin, Zhen
    Yang, Yuhe
    Li, Qiaoxia
    MATHEMATICAL MODELLING AND CONTROL, 2022, 2 (01): : 1 - 6
  • [26] 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
  • [27] A remark on ψ-Hilfer fractional differential equations with non-instantaneous impulses
    Van Hoa Ngo
    O'Regan, Donal
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (06) : 3354 - 3368
  • [28] On the orbital Hausdorff dependence of differential equations with non-instantaneous impulses
    Yang, Dan
    Wang, JinRong
    O'Regan, Donal
    COMPTES RENDUS MATHEMATIQUE, 2018, 356 (02) : 150 - 171
  • [29] Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses
    Michelle Pierri
    Hernán R. Henríquez
    Andréa Prokopczyk
    Mediterranean Journal of Mathematics, 2016, 13 : 1685 - 1708
  • [30] RAZUMIKHIN METHOD TO DELAY DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES
    Agarwal, Ravi
    Hristova, Snezhana
    O'Regan, Donal
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2019, 11 (01): : 143 - 165
12345