Almost Periodic Functions on the Quantum Time Scale and Applications
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-15
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
In this paper, we first propose two types of concepts of almost periodic functions on the quantum time scale.
Secondly, we study some basic properties of almost periodic functions on the quantum time scale.
Thirdly, based on these, we study the existence and uniqueness of almost periodic solutions of dynamic equations on the quantum time scale by Lyapunov method.
Then, we give an equivalent definition of almost periodic functions on the quantum time scale.
Finally, as an application, we propose a class of high-order Hopfield neural networks on the quantum time scale and establish the existence and global exponential stability of almost periodic solutions of this class of neural networks.
American Psychological Association (APA)
Li, Yongkun. 2019. Almost Periodic Functions on the Quantum Time Scale and Applications. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-16.
https://search.emarefa.net/detail/BIM-1146378
Modern Language Association (MLA)
Li, Yongkun. Almost Periodic Functions on the Quantum Time Scale and Applications. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-16.
https://search.emarefa.net/detail/BIM-1146378
American Medical Association (AMA)
Li, Yongkun. Almost Periodic Functions on the Quantum Time Scale and Applications. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-16.
https://search.emarefa.net/detail/BIM-1146378
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1146378