Weighted pseudo almost automorphic functions and WPAA solutions to semilinear evolution equations

被引：17

作者：

Ding, Hui-Sheng ^{[1
]}

Liang, Jin ^{[2
]}

Xiao, Ti-Jun ^{[3
]}

机构：

[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[3] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 409卷 / 01期

关键词：

Weighted almost automorphic functions; Weighted almost automorphic solutions; Vector-valued functions; Evolution equations; ALMOST-PERIODIC-FUNCTIONS; DIFFERENTIAL-EQUATIONS;

D O I：

10.1016/j.jmaa.2013.07.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we reveal several basic properties about nonlinear vector-valued weighted pseudo almost automorphic functions, including equivalence, completeness, translation invariance, composition theorem, and convolution theorem of these functions. We also give some concrete examples to illustrate our results. Finally, we obtain a new existence theorem of nonlinear weighted pseudo almost automorphic solutions for semilinear evolution equations in Banach spaces. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：409 / 427

页数：19

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