Pseudo almost periodic functions and pseudo almost periodic solutions to dynamic equations on time scales

Advances in Difference Equations

Yongkun Li¹  Chao Wang² 

[1] Department of Mathematics, Yunnan University Kunming, Yunnan, People's Republic of China

关键词: dynamic equations on time scales;    pseudo almost periodic functions;    exponential dichotomy;    pseudo almost periodic solutions;   

DOI  :  10.1186/1687-1847-2012-77

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we first introduce a concept of the mean-value of uniformly almost periodic functions on time scales and give some of its basic properties. Then, we propose a concept of pseudo almost periodic functions on time scales and study some basic properties of pseudo almost periodic functions on time scales. Finally, we establish some results about the existence of pseudo almost periodic solutions to dynamic equations on time scales.

【 授权许可】

CC BY