Nonlocal Impulsive Cauchy Problems for Evolution Equations

被引：4
|
作者：
Liang, Jin [1 ]
Fan, Zhenbin [1 ,2 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[2] Changshu Inst Technol, Dept Math, Suzhou 215500, Jiangsu, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2011年
基金：
高等学校博士学科点专项科研基金;
关键词：
BANACH-SPACES; DIFFERENTIAL-EQUATIONS; SYSTEMS;
D O I：
10.1155/2011/784161
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Of concern is the existence of solutions to nonlocal impulsive Cauchy problems for evolution equations. Combining the techniques of operator semigroups, approximate solutions, noncompact measures and the fixed point theory, new existence theorems are obtained, which generalize and improve some previous results since neither the Lipschitz continuity nor compactness assumption on the impulsive functions is required. An application to partial differential equations is also presented.
引用
收藏
页数：17
相关论文
共 50 条
  • [21] Study of fractional order impulsive evolution problem under nonlocal Cauchy conditions
    Shah, Kamal
    Ullah, Atta
    Nieto, Juan J.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (11) : 8516 - 8527
  • [22] On the nonlocal Cauchy problem for semilinear fractional order evolution equations
    Wang, JinRong
    Zhou, Yong
    Feckan, Michal
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2014, 12 (06): : 911 - 922
  • [23] Nonlocal Cauchy problem for abstract fractional semilinear evolution equations
    Balachandran, K.
    Park, J. Y.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) : 4471 - 4475
  • [24] A Class of Nonlocal Impulsive Problems for Integrodifferential Equations in Banach Spaces
    Wang, JinRong
    Wei, W.
    RESULTS IN MATHEMATICS, 2010, 58 (3-4) : 379 - 397
  • [25] Multidimensional inverse Cauchy problems for evolution equations
    Karazym, Mukhtar
    Ozawa, Tohru
    Suragan, Durvudkhan
    INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2020, 28 (11) : 1582 - 1590
  • [26] A study of nonlocal problems of impulsive integrodifferential equations with measure of noncompactness
    Bashir Ahmad
    Kandasamy Malar
    Kulandhaivel Karthikeyan
    Advances in Difference Equations, 2013
  • [27] A Class of Nonlocal Impulsive Problems for Integrodifferential Equations in Banach Spaces
    JinRong Wang
    W. Wei
    Results in Mathematics, 2010, 58 : 379 - 397
  • [28] Nonlocal impulsive problems for nonlinear differential equations in Banach spaces
    Liang, Jin
    Liu, James H.
    Xiao, Ti-Jun
    MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (3-4) : 798 - 804
  • [29] A study of nonlocal problems of impulsive integrodifferential equations with measure of noncompactness
    Ahmad, Bashir
    Malar, Kandasamy
    Karthikeyan, Kulandhaivel
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [30] A Study on Impulsive Hilfer Fractional Evolution Equations with Nonlocal Conditions
    Gou, Haide
    Li, Yongxiang
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2020, 21 (02) : 205 - 218
12345