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.

引用

页码：205 / 223

页数：19

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