Relatively dense sets, corrected uniformly almost periodic functions on time scales, and generalizations

Advances in Difference Equations

Chao Wang²  Ravi P Agarwal⁴ 

[1] Department of Mathematics, Texas A&Department of Mathematics, Yunnan University, Kunming, People’M University-Kingsville, Kingsville, USA;s Republic of China

关键词: time scales;    relatively dense set;    uniformly almost periodic functions;    26E70;    43A60;   

DOI  :  10.1186/s13662-015-0650-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we use the analysis of relatively dense sets to point out some deficiencies and inaccuracies in the definition of uniformly almost periodic functions which has been proposed in recent works, and we correct it. Some new generalizations of invariance under translation time scales and almost periodic functions are established. Our study will ensure that now we can study almost periodic problems precisely on time scales.

【 授权许可】

CC BY