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
  • [1] Non-autonomous parabolic evolution equations with non-instantaneous impulses governed by noncompact evolution families
    Chen, Pengyu
    Zhang, Xuping
    Li, Yongxiang
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2019, 21 (03)
  • [2] Non-autonomous Evolution Equations of Parabolic Type with Non-instantaneous Impulses
    Pengyu Chen
    Xuping Zhang
    Yongxiang Li
    Mediterranean Journal of Mathematics, 2019, 16
  • [3] Non-autonomous parabolic evolution equations with non-instantaneous impulses governed by noncompact evolution families
    Pengyu Chen
    Xuping Zhang
    Yongxiang Li
    Journal of Fixed Point Theory and Applications, 2019, 21
  • [4] Study on Sobolev type Hilfer evolution equations with non-instantaneous impulses
    Gou, Haide
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2023, 100 (05) : 1153 - 1170
  • [5] Controllability of non-autonomous nonlinear differential system with non-instantaneous impulses
    Malik, Muslim
    Dhayal, Rajesh
    Abbas, Syed
    Kumar, Avadhesh
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (01) : 103 - 118
  • [6] 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
  • [7] Controllability of non-autonomous nonlinear differential system with non-instantaneous impulses
    Muslim Malik
    Rajesh Dhayal
    Syed Abbas
    Avadhesh Kumar
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 103 - 118
  • [8] The method of lower and upper solution for Hilfer evolution equations with non-instantaneous impulses
    Gou, Haide
    Wang, Tianxiang
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2023, 54 (02): : 499 - 523
  • [9] Iterative Method for a New Class of Evolution Equations with Non-instantaneous Impulses
    Chen, Pengyu
    Zhang, Xuping
    Li, Yongxiang
    TAIWANESE JOURNAL OF MATHEMATICS, 2017, 21 (04): : 913 - 942
  • [10] Extremal mild solutions to Hilfer evolution equations with non-instantaneous impulses and nonlocal conditions
    Gou, Haide
    Li, Yongxiang
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2023, 26 (03) : 1145 - 1185
12345