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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/727068 |
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| _version_ | 1832550706800754688 |
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| author | Yongkun Li Chao Wang |
| author_facet | Yongkun Li Chao Wang |
| author_sort | Yongkun Li |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8869775ee99d42158c9ad57495ac3e11 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-8869775ee99d42158c9ad57495ac3e112025-02-03T06:06:09ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/727068727068Almost Periodic Functions on Time Scales and ApplicationsYongkun Li0Chao Wang1Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaWe 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.http://dx.doi.org/10.1155/2011/727068 |
| spellingShingle | Yongkun Li Chao Wang Almost Periodic Functions on Time Scales and Applications Discrete Dynamics in Nature and Society |
| title | Almost Periodic Functions on Time Scales and Applications |
| title_full | Almost Periodic Functions on Time Scales and Applications |
| title_fullStr | Almost Periodic Functions on Time Scales and Applications |
| title_full_unstemmed | Almost Periodic Functions on Time Scales and Applications |
| title_short | Almost Periodic Functions on Time Scales and Applications |
| title_sort | almost periodic functions on time scales and applications |
| url | http://dx.doi.org/10.1155/2011/727068 |
| work_keys_str_mv | AT yongkunli almostperiodicfunctionsontimescalesandapplications AT chaowang almostperiodicfunctionsontimescalesandapplications |