Existence of mild solutions for semilinear evolution equations with non-local initial conditions

被引：23

作者：

Liu, Qing ^{[1
]}

Yuan, Rong ^{[2
]}

机构：

[1] S China Univ Technol, Dept Math, Sch Sci, Guangzhou 510640, Guangdong, Peoples R China

[2] Beijing Normal Univ, Lab Math & Complex Syst, Sch Math Sci, Beijing 100875, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Nonlocal initial condition; Mild solutions; Semilinear evolution equation; Compact semigroup; DIFFERENTIAL-EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; CAUCHY-PROBLEMS; UNIQUENESS;

D O I：

10.1016/j.na.2009.02.093

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the existence of mild solutions for a class of semilinear evolution equations with non-local initial conditions and extend some related results in this direction. (c) 2009 Elsevier Ltd. All rights reserved.

引用

页码：4177 / 4184

页数：8

共 31 条

[21] Nonlocal Cauchy problems for semilinear evolution equations
Liang, J
van Casteren, J
Xiao, TJ
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 50 (02) : 173 - 189
[22] LIANG J, 2004, NONLINEAR ANAL, V57, P183, DOI DOI 10.1016/J.NA.2004.02.007
[23] Semilinear integrodifferential equations with nonlocal cauchy problem
Lin, YP
Liu, JH
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (05) : 1023 - 1033
[24] ANALYTICAL AND NUMERICAL-SOLUTIONS FOR A CLASS OF NONLOCAL NONLINEAR PARABOLIC DIFFERENTIAL-EQUATIONS
LIN, YP
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1994, 25 (06) : 1577 - 1594
[25] A remark on the mild solutions of non-local evolution equations
Liu, JH
[J]. SEMIGROUP FORUM, 2003, 66 (01) : 63 - 67
[26] Global existence for semilinear evolution equations with nonlocal conditions
Ntouyas, SK
Tsamatos, PC
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 210 (02) : 679 - 687
[27] Pazy A., 1983, SEMIGROUPS LINEAR OP, DOI DOI 10.1007/978-1-4612-5561-1
[28] Xue X, 2005, ELECTRON J DIFFER EQ, P1
[29] Existence of semilinear differential equations with nonlocal initial conditions
Xue, Xing Mei
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2007, 23 (06) : 983 - 988
[30] Nonlinear differential equations with nonlocal conditions in Banach spaces
Xue, XM
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 63 (04) : 575 - 586

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