Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces

被引：153
|
作者：
Xiao, Ti-Jun [1 ]
Liang, Jin [1 ]
Zhang, Jun [1 ]
机构：
[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China
来源：
SEMIGROUP FORUM | 2008年 / 76卷 / 03期
基金：
中国国家自然科学基金;
关键词：
vector-valued pseudo almost automorphic function; Banach space; semilinear differential equation; abstract Cauchy problem;
D O I：
10.1007/s00233-007-9011-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove that the space (PAA( R, X), parallel to center dot parallel to(0)) is complete. This not only gives an affirmative answer to a basic problem in this field, but also enables us to obtain an existence and uniqueness theorem of pseudo almost automorphic mild solutions to semilinear differential equations in Banach spaces. An example is given to illustrate our theorem.
引用
收藏
页码：518 / 524
页数：7
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