Composition Theorems of Stepanov Almost Periodic Functions and Stepanov-Like Pseudo-Almost Periodic Functions

Advances in Difference Equations

Hui-Sheng Ding¹  Wei Long¹ 

[1] College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, China

关键词: Banach Space;    Periodic Function;    Mild Solution;    Real Banach Space;    Unique Fixed Point;   

DOI  :  10.1155/2011/654695

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We establish a composition theorem of Stepanov almost periodic functions, and, with its help, a composition theorem of Stepanov-like pseudo almost periodic functions is obtained. In addition, we apply our composition theorem to study the existence and uniqueness of pseudo-almost periodic solutions to a class of abstract semilinear evolution equation in a Banach space. Our results complement a recent work due to Diagana (2008).

【 授权许可】

CC BY