Nonlocal Cauchy problems governed by compact operator families

被引：72
作者：
Jin, LA
Liu, J
Xiao, TJ
机构：
[1] James Madison Univ, Dept Math, Harrisonburg, VA 22807 USA
[2] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 57卷 / 02期
关键词：
nonlocal Cauchy problem; mild solutions;
D O I：
10.1016/j.na.2004.02.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence of mild solutions for the nonlocal Cauchy problem {u'(t) = A u(t) + f (t, u(t)), t epsilon [t(0), t(0) + T], {u(t(0)) + g(u) = u(0), and give new criterions, which extend some existing results in this area. (C) 2004 Elsevier Ltd. All rights reserved.
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收藏
页码：183 / 189
页数：7
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