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
  • [1] Nonlocal Impulsive Cauchy Problems for Evolution Equations
    Jin Liang
    Zhenbin Fan
    Advances in Difference Equations, 2011
  • [2] Nonlocal Cauchy problems for semilinear evolution equations
    Boucherif, A
    Akca, H
    DYNAMIC SYSTEMS AND APPLICATIONS, 2002, 11 (03): : 415 - 420
  • [3] Evolution equations with nonlocal multivalued Cauchy problems
    Malaguti, Luisa
    Perrotta, Stefania
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 130
  • [4] Nonlocal Cauchy problems for nonautonomous evolution equations
    Liang, J
    Liu, JH
    Xiao, TJ
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2006, 5 (03) : 529 - 535
  • [5] Nonlocal Cauchy problems for semilinear evolution equations
    Liang, J
    van Casteren, J
    Xiao, TJ
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 50 (02) : 173 - 189
  • [6] On the Cauchy Problems of Fractional Evolution Equations with Nonlocal Initial Conditions
    Wang, Rong-Nian
    Yang, Yan-Hong
    RESULTS IN MATHEMATICS, 2013, 63 (1-2) : 15 - 30
  • [7] On the Cauchy Problems of Fractional Evolution Equations with Nonlocal Initial Conditions
    Rong-Nian Wang
    Yan-Hong Yang
    Results in Mathematics, 2013, 63 : 15 - 30
  • [8] Generalized Cauchy problems involving nonlocal and impulsive conditions
    Nguyen Minh Chuong
    Tran Dinh Ke
    JOURNAL OF EVOLUTION EQUATIONS, 2012, 12 (02) : 367 - 392
  • [9] Generalized Cauchy problems involving nonlocal and impulsive conditions
    Nguyen Minh Chuong
    Tran Dinh Ke
    Journal of Evolution Equations, 2012, 12 : 367 - 392
  • [10] Nonlocal Cauchy problems for semilinear evolution equations involving almost sectorial operators
    Wang, Rong-Nian
    Li, Zhen-Qi
    Ding, Xiao-Hua
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2008, 39 (04): : 333 - 346
12345