Antiperiodic Solutions to Impulsive Cohen-Grossberg Neural Networks with Delays on Time Scales
We use the method of coincidence degree and construct suitable Lyapunov functional to investigate the existence and global exponential stability of antiperiodic solutions of impulsive Cohen-Grossberg neural networks with delays on time scales. Our results are new even if the time scale T=R or Z. An...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/308768 |
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| _version_ | 1832562146336047104 |
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| author | Yanqin Wang Maoan Han |
| author_facet | Yanqin Wang Maoan Han |
| author_sort | Yanqin Wang |
| collection | DOAJ |
| description | We use the method of coincidence degree and construct suitable Lyapunov functional to investigate the existence and global exponential stability of antiperiodic solutions of impulsive Cohen-Grossberg neural networks with delays on time scales. Our results are new even if the time scale T=R or Z. An example is given to illustrate our feasible results. |
| format | Article |
| id | doaj-art-0f06dbb9910b43ac99f7cfcdfcf769b9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0f06dbb9910b43ac99f7cfcdfcf769b92025-02-03T01:23:19ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/308768308768Antiperiodic Solutions to Impulsive Cohen-Grossberg Neural Networks with Delays on Time ScalesYanqin Wang0Maoan Han1Applied Mathematics Department, Shanghai Normal University, Shanghai 200234, ChinaApplied Mathematics Department, Shanghai Normal University, Shanghai 200234, ChinaWe use the method of coincidence degree and construct suitable Lyapunov functional to investigate the existence and global exponential stability of antiperiodic solutions of impulsive Cohen-Grossberg neural networks with delays on time scales. Our results are new even if the time scale T=R or Z. An example is given to illustrate our feasible results.http://dx.doi.org/10.1155/2014/308768 |
| spellingShingle | Yanqin Wang Maoan Han Antiperiodic Solutions to Impulsive Cohen-Grossberg Neural Networks with Delays on Time Scales Abstract and Applied Analysis |
| title | Antiperiodic Solutions to Impulsive Cohen-Grossberg Neural Networks with Delays on Time Scales |
| title_full | Antiperiodic Solutions to Impulsive Cohen-Grossberg Neural Networks with Delays on Time Scales |
| title_fullStr | Antiperiodic Solutions to Impulsive Cohen-Grossberg Neural Networks with Delays on Time Scales |
| title_full_unstemmed | Antiperiodic Solutions to Impulsive Cohen-Grossberg Neural Networks with Delays on Time Scales |
| title_short | Antiperiodic Solutions to Impulsive Cohen-Grossberg Neural Networks with Delays on Time Scales |
| title_sort | antiperiodic solutions to impulsive cohen grossberg neural networks with delays on time scales |
| url | http://dx.doi.org/10.1155/2014/308768 |
| work_keys_str_mv | AT yanqinwang antiperiodicsolutionstoimpulsivecohengrossbergneuralnetworkswithdelaysontimescales AT maoanhan antiperiodicsolutionstoimpulsivecohengrossbergneuralnetworkswithdelaysontimescales |