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Almost Periodic Solutions to Dynamic Equations on Time Scales and Applications
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-02
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
We first introduce the concept of admitting an exponential dichotomy to a class of linear dynamic equations on time scales and study the existence and uniqueness of almost periodic solution and its expression form to this class of linear dynamic equations on time scales.
Then, as an application, using these concepts and results, we establish sufficient conditions for the existence and exponential stability of almost periodic solution to a class of Hopfield neural networks with delays.
Finally, two examples and numerical simulations given to illustrate our results are plausible and meaningful.
American Psychological Association (APA)
Li, Yongkun& Wang, Chao. 2012. Almost Periodic Solutions to Dynamic Equations on Time Scales and Applications. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-993273
Modern Language Association (MLA)
Li, Yongkun& Wang, Chao. Almost Periodic Solutions to Dynamic Equations on Time Scales and Applications. Journal of Applied Mathematics No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-993273
American Medical Association (AMA)
Li, Yongkun& Wang, Chao. Almost Periodic Solutions to Dynamic Equations on Time Scales and Applications. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-993273
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993273