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

被引：0
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作者：
Wei Long
Hui-Sheng Ding
机构：
[1] Jiangxi Normal University,College of Mathematics and Information Science
来源：
Advances in Difference Equations | / 2011卷
关键词：
Banach Space; Periodic Function; Mild Solution; Real Banach Space; Unique Fixed Point;
D O I：
暂无
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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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