Journal of Applied Mathematics

Almost Periodic Solutions to Dynamic Equations on Time Scales and Applications

Yongkun Li and Chao Wang

Full-text: Open access

Abstract

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 463913, 19 pages.

Dates
First available in Project Euclid: 2 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357153512

Digital Object Identifier
doi:10.1155/2012/463913

Mathematical Reviews number (MathSciNet)
MR2979454

Zentralblatt MATH identifier
1251.34060

Citation

Li, Yongkun; Wang, Chao. Almost Periodic Solutions to Dynamic Equations on Time Scales and Applications. J. Appl. Math. 2012 (2012), Article ID 463913, 19 pages. doi:10.1155/2012/463913. https://projecteuclid.org/euclid.jam/1357153512


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