Almost Periodic Functions on Time Scales and Applications
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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/727068 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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. |
|---|---|
| ISSN: | 1026-0226 1607-887X |