![](/images/graphics-bg.png)
A Further Study of Almost Periodic Time Scales with Some Notes and Applications
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-07
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We introduce three equivalent concepts of almost periodic time scales as a further study of the corresponding concept proposed in Li and Wang (2011) and several examples of almost periodic time scales which are not periodic are provided.
Furthermore, the concepts of almost periodic functions are redefined under the sense of this new timescale concept.
Finally, almost periodicity of Cauchy matrix for dynamic equations is proved under these new definitions.
Based on these results, the existence of almost periodic solutions to a class of nonlinear dynamic equations is investigated by the almost periodicity of Cauchy matrix on almost periodic time scales.
Besides, as an application, we apply our results to a class of high-order Hopfield neural networks.
American Psychological Association (APA)
Wang, Chao& Agarwal, Ravi P.. 2014. A Further Study of Almost Periodic Time Scales with Some Notes and Applications. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013602
Modern Language Association (MLA)
Wang, Chao& Agarwal, Ravi P.. A Further Study of Almost Periodic Time Scales with Some Notes and Applications. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1013602
American Medical Association (AMA)
Wang, Chao& Agarwal, Ravi P.. A Further Study of Almost Periodic Time Scales with Some Notes and Applications. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1013602
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013602