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Almost Periodic Functions on Time Scales and Applications
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-21
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
We first propose the concept of almost periodic time scales and then give the definition of almost periodic functions on almost periodic time scales, then by using the theory of calculus on time scales and some mathematical methods, some basic results about almost periodic differential equations on almost periodic time scales are established.
Based on these results, a class of high-order Hopfield neural networks with variable delays are studied on almost periodic time scales, and some sufficient conditions are established for the existence and global asymptotic stability of the almost periodic solution.
Finally, two examples and numerical simulations are presented to illustrate the feasibility and effectiveness of the results.
American Psychological Association (APA)
Li, Yongkun& Wang, Chao. 2011. Almost Periodic Functions on Time Scales and Applications. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-493813
Modern Language Association (MLA)
Li, Yongkun& Wang, Chao. Almost Periodic Functions on Time Scales and Applications. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-20.
https://search.emarefa.net/detail/BIM-493813
American Medical Association (AMA)
Li, Yongkun& Wang, Chao. Almost Periodic Functions on Time Scales and Applications. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-493813
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493813