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

被引：0
作者：
Chao Wang
Ravi P Agarwal
机构：
[1] Yunnan University,Department of Mathematics
[2] Texas A&M University-Kingsville,Department of Mathematics
[3] King Abdulaziz University,Department of Mathematics, Faculty of Science
来源：
Advances in Difference Equations | / 2015卷
关键词：
time scales; relatively dense set; uniformly almost periodic functions; 26E70; 43A60;
D O I：
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学科分类号：
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.
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