Almost Automorphic Solutions of Non-autonomous Differential Equations

被引：3
|
作者：
Zhu, Hailong [1 ,2 ]
Liao, Fang-Fang [1 ,3 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Anhui Univ Finance & Econ, Sch Stat & Appl Math, Bengbu 233030, Peoples R China
[3] Southeast Univ, Dept Math, Nanjing 211189, Jiangsu, Peoples R China
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2018年 / 44卷 / 01期
基金：
中国博士后科学基金; 上海市自然科学基金; 中国国家自然科学基金;
关键词：
Almost automorphic; Exponential dichotomy; Product integration; EVOLUTION-EQUATIONS; INVARIANT SPLITTINGS; EXISTENCE; PSEUDO; DICHOTOMIES;
D O I：
10.1007/s41980-018-0015-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the existence and uniqueness of almost automorphic solutions for non-autonomous linear and nonlinear differential equations in a Banach space, when the linear equation admits an exponential dichotomy.
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页码：205 / 223
页数：19
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