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

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作者
Wei Long
Hui-Sheng Ding
机构
[1] Jiangxi Normal University,College of Mathematics and Information Science
关键词
Banach Space; Periodic Function; Mild Solution; Real Banach Space; Unique Fixed Point;
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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).
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