Existence of Semilinear Differential Equations with Nonlocal Initial Conditions

被引：0
|
作者：
Xing Mei XUE Department of Mathematics
机构：
来源：
Acta Mathematica Sinica,English Series | 2007年 / 23卷 / 06期
关键词：
nonlocal condition; compact semigroup; mild solution;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper we give the existence of mild solutions for semilinear Cauchy problemsu′(t)=Au(t)+f(t,u(t)),t ∈ I,a.e.with nonlocal initial condition u(0)=g(u)+uwhen the map gloses compactness in Banach spaces.
引用
收藏
页码：983 / 988
页数：6
相关论文
共 50 条
  • [41] Existence for a class of partial differential equations with nonlocal conditions
    Liu, Hsiang
    Chang, Jung-Chan
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (09) : 3076 - 3083
  • [42] Existence of solutions of nonlinear differential equations with nonlocal conditions
    Benchohra, M
    Ntouyas, SK
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 252 (01) : 477 - 483
  • [43] Semilinear delay evolution equations with measures subjected to nonlocal initial conditions
    Benedetti, I.
    Malaguti, L.
    Taddei, V.
    Vrabie, I. I.
    [J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 2016, 195 (05) : 1639 - 1658
  • [44] Semilinear delay evolution equations with measures subjected to nonlocal initial conditions
    I. Benedetti
    L. Malaguti
    V. Taddei
    I. I. Vrabie
    [J]. Annali di Matematica Pura ed Applicata (1923 -), 2016, 195 : 1639 - 1658
  • [45] EXPONENTIAL DECAY OF SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS WITH NONLOCAL INITIAL CONDITIONS
    DENG, K
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 179 (02) : 630 - 637
  • [46] Controllability of Semilinear Differential Systems with Nonlocal Initial Conditions in Banach Spaces
    Y. K. Chang
    J. J. Nieto
    W. S. Li
    [J]. Journal of Optimization Theory and Applications, 2009, 142 : 267 - 273
  • [47] Controllability of Semilinear Differential Systems with Nonlocal Initial Conditions in Banach Spaces
    Chang, Y. K.
    Nieto, J. J.
    Li, W. S.
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2009, 142 (02) : 267 - 273
  • [48] Existence for Second Order Semilinear Impulsive Delay Integrodifferential Equations with Nonlocal Conditions
    李美丽
    宋雯
    贾军国
    [J]. Journal of Donghua University(English Edition), 2011, 28 (05) : 488 - 490
  • [49] On Semilinear Integro-Differential Equations with Nonlocal Conditions in Banach Spaces
    Tran Dinh Ke
    Obukhovskii, Valeri
    Wong, Ngai-Ching
    Yao, Jen-Chih
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [50] CONTROLLABILITY OF SEMILINEAR NEUTRAL FUNCTIONAL DIFFERENTIAL EVOLUTION EQUATIONS WITH NONLOCAL CONDITIONS
    Kwun, Young Chel
    Park, So Hyun
    Park, Dong Gun
    Park, Jong Seo
    [J]. JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2008, 15 (03): : 245 - 257
12345