Pseudo Almost-Periodic Solution of Shunting Inhibitory Cellular Neural Networks with Delay
Shunting inhibitory cellular neural networks are studied. Some sufficient criteria are obtained for the existence and uniqueness of pseudo almost-periodic solution of this system. Our results improve and generalize those of the previous studies. This is the first paper considering the pseudo almost-...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/510789 |
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| _version_ | 1850211824163618816 |
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| author | Haihui Wu |
| author_facet | Haihui Wu |
| author_sort | Haihui Wu |
| collection | DOAJ |
| description | Shunting inhibitory cellular neural networks are studied. Some sufficient criteria are obtained for the existence and uniqueness of pseudo almost-periodic solution of this system. Our results improve and generalize those of the previous studies. This is the first paper considering the pseudo almost-periodic SICNNs. Furthermore, several methods are applied to establish sufficient criteria for the globally exponential stability of this system. The approaches are based on constructing suitable Lyapunov functionals and the well-known Banach contraction mapping principle. |
| format | Article |
| id | doaj-art-8f84005ccea545eeae0b714fbdc1c5af |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-8f84005ccea545eeae0b714fbdc1c5af2025-08-20T02:09:28ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/510789510789Pseudo Almost-Periodic Solution of Shunting Inhibitory Cellular Neural Networks with DelayHaihui Wu0Sunshine College, Fuzhou University, Fuzhou, Fujian, 350002, ChinaShunting inhibitory cellular neural networks are studied. Some sufficient criteria are obtained for the existence and uniqueness of pseudo almost-periodic solution of this system. Our results improve and generalize those of the previous studies. This is the first paper considering the pseudo almost-periodic SICNNs. Furthermore, several methods are applied to establish sufficient criteria for the globally exponential stability of this system. The approaches are based on constructing suitable Lyapunov functionals and the well-known Banach contraction mapping principle.http://dx.doi.org/10.1155/2011/510789 |
| spellingShingle | Haihui Wu Pseudo Almost-Periodic Solution of Shunting Inhibitory Cellular Neural Networks with Delay Journal of Applied Mathematics |
| title | Pseudo Almost-Periodic Solution of Shunting Inhibitory Cellular Neural Networks with Delay |
| title_full | Pseudo Almost-Periodic Solution of Shunting Inhibitory Cellular Neural Networks with Delay |
| title_fullStr | Pseudo Almost-Periodic Solution of Shunting Inhibitory Cellular Neural Networks with Delay |
| title_full_unstemmed | Pseudo Almost-Periodic Solution of Shunting Inhibitory Cellular Neural Networks with Delay |
| title_short | Pseudo Almost-Periodic Solution of Shunting Inhibitory Cellular Neural Networks with Delay |
| title_sort | pseudo almost periodic solution of shunting inhibitory cellular neural networks with delay |
| url | http://dx.doi.org/10.1155/2011/510789 |
| work_keys_str_mv | AT haihuiwu pseudoalmostperiodicsolutionofshuntinginhibitorycellularneuralnetworkswithdelay |