Almost Periodic Functions on the Quantum Time Scale and Applications
In this paper, we first propose two types of concepts of almost periodic functions on the quantum time scale. Secondly, we study some basic properties of almost periodic functions on the quantum time scale. Thirdly, based on these, we study the existence and uniqueness of almost periodic solutions o...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2019/4529159 |
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| _version_ | 1832550607083274240 |
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| author | Yongkun Li |
| author_facet | Yongkun Li |
| author_sort | Yongkun Li |
| collection | DOAJ |
| description | In this paper, we first propose two types of concepts of almost periodic functions on the quantum time scale. Secondly, we study some basic properties of almost periodic functions on the quantum time scale. Thirdly, based on these, we study the existence and uniqueness of almost periodic solutions of dynamic equations on the quantum time scale by Lyapunov method. Then, we give an equivalent definition of almost periodic functions on the quantum time scale. Finally, as an application, we propose a class of high-order Hopfield neural networks on the quantum time scale and establish the existence and global exponential stability of almost periodic solutions of this class of neural networks. |
| format | Article |
| id | doaj-art-2a599f43bc5b4d6596d4d76e1dc127d7 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-2a599f43bc5b4d6596d4d76e1dc127d72025-02-03T06:06:15ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/45291594529159Almost Periodic Functions on the Quantum Time Scale and ApplicationsYongkun Li0Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaIn this paper, we first propose two types of concepts of almost periodic functions on the quantum time scale. Secondly, we study some basic properties of almost periodic functions on the quantum time scale. Thirdly, based on these, we study the existence and uniqueness of almost periodic solutions of dynamic equations on the quantum time scale by Lyapunov method. Then, we give an equivalent definition of almost periodic functions on the quantum time scale. Finally, as an application, we propose a class of high-order Hopfield neural networks on the quantum time scale and establish the existence and global exponential stability of almost periodic solutions of this class of neural networks.http://dx.doi.org/10.1155/2019/4529159 |
| spellingShingle | Yongkun Li Almost Periodic Functions on the Quantum Time Scale and Applications Discrete Dynamics in Nature and Society |
| title | Almost Periodic Functions on the Quantum Time Scale and Applications |
| title_full | Almost Periodic Functions on the Quantum Time Scale and Applications |
| title_fullStr | Almost Periodic Functions on the Quantum Time Scale and Applications |
| title_full_unstemmed | Almost Periodic Functions on the Quantum Time Scale and Applications |
| title_short | Almost Periodic Functions on the Quantum Time Scale and Applications |
| title_sort | almost periodic functions on the quantum time scale and applications |
| url | http://dx.doi.org/10.1155/2019/4529159 |
| work_keys_str_mv | AT yongkunli almostperiodicfunctionsonthequantumtimescaleandapplications |