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
  • [41] On approximate controllability of non-autonomous measure driven systems with non-instantaneous impulse
    Kumar, Surendra
    APPLIED MATHEMATICS AND COMPUTATION, 2023, 441
  • [42] NONLINEAR IMPLICIT GENERALIZED HILFER TYPE FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES
    Salim, Abdelkrim
    Benchohra, Mouffak
    Lazreg, Jamal eddine
    N'guerekata, Gaston
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024, 17 (5-6): : 2234 - 2250
  • [43] On the fractional partial integro-differential equations of mixed type with non-instantaneous impulses
    Bo Zhu
    Baoyan Han
    Lishan Liu
    Wenguang Yu
    Boundary Value Problems, 2020
  • [44] Controllability of Sobolev type stochastic differential equations driven by fBm with non-instantaneous impulses
    Madhuri, S.
    Deekshitulu, G. V. S. R.
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (02): : 923 - 938
  • [45] On the fractional partial integro-differential equations of mixed type with non-instantaneous impulses
    Zhu, Bo
    Han, Baoyan
    Liu, Lishan
    Yu, Wenguang
    BOUNDARY VALUE PROBLEMS, 2020, 2020 (01)
  • [46] Bounded solutions for non-autonomous parabolic equations
    Zhang, WN
    Stewart, I
    DYNAMICS AND STABILITY OF SYSTEMS, 1996, 11 (02): : 109 - 120
  • [47] Existence of extremal mild solutions for the initial value problem of evolution equations with non-instantaneous impulses
    Zhang, Xuping
    Li, Yongxiang
    Chen, Pengyu
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (04) : 3013 - 3027
  • [48] Existence of extremal mild solutions for the initial value problem of evolution equations with non-instantaneous impulses
    Xuping Zhang
    Yongxiang Li
    Pengyu Chen
    Journal of Fixed Point Theory and Applications, 2017, 19 : 3013 - 3027
  • [49] Approximation of solutions to abstract neutral differential equations with non-instantaneous impulses
    Shahin Ansari
    Muslim Malik
    The Journal of Analysis, 2023, 31 (4) : 3045 - 3068
  • [50] Stability with Two Measures for Differential Equations with Supremum and Non-Instantaneous Impulses
    Hristova, Snezhana
    Dobreva, Antonia
    APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE20), 2021, 2333
12345