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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:409

Article

Ding, Hui-Sheng¹  Liang, Jin²  Xiao, Ti-Jun³ 

[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

关键词: Weighted almost automorphic functions;    Weighted almost automorphic solutions;    Vector-valued functions;    Evolution equations;   

DOI  :  10.1016/j.jmaa.2013.07.044

来源: Elsevier

【 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.

【 授权许可】

Free