Existence and Global Exponential Stability of Periodic Solutions for General Neural Networks with Time-Varying Delays
By using the coincidence degree theorem and differential inequality techniques, sufficient conditions are obtained for the existence and global exponential stability of periodic solutions for general neural networks with time-varying (including bounded and unbounded) delays. Some known results are i...
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/843695 |
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| _version_ | 1832567267556065280 |
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| author | Xinsong Yang |
| author_facet | Xinsong Yang |
| author_sort | Xinsong Yang |
| collection | DOAJ |
| description | By using the coincidence degree theorem and differential inequality techniques, sufficient conditions are obtained for the existence and global exponential stability of periodic solutions for general neural networks with time-varying (including bounded and unbounded) delays. Some known results are improved and some new results are obtained. An example is employed to illustrate our feasible results. |
| format | Article |
| id | doaj-art-d20b74f8d3664c6a8c7a68d59f73a89c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d20b74f8d3664c6a8c7a68d59f73a89c2025-02-03T01:02:00ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/843695843695Existence and Global Exponential Stability of Periodic Solutions for General Neural Networks with Time-Varying DelaysXinsong Yang0Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, ChinaBy using the coincidence degree theorem and differential inequality techniques, sufficient conditions are obtained for the existence and global exponential stability of periodic solutions for general neural networks with time-varying (including bounded and unbounded) delays. Some known results are improved and some new results are obtained. An example is employed to illustrate our feasible results.http://dx.doi.org/10.1155/2008/843695 |
| spellingShingle | Xinsong Yang Existence and Global Exponential Stability of Periodic Solutions for General Neural Networks with Time-Varying Delays International Journal of Mathematics and Mathematical Sciences |
| title | Existence and Global Exponential Stability of Periodic Solutions for General Neural Networks with Time-Varying Delays |
| title_full | Existence and Global Exponential Stability of Periodic Solutions for General Neural Networks with Time-Varying Delays |
| title_fullStr | Existence and Global Exponential Stability of Periodic Solutions for General Neural Networks with Time-Varying Delays |
| title_full_unstemmed | Existence and Global Exponential Stability of Periodic Solutions for General Neural Networks with Time-Varying Delays |
| title_short | Existence and Global Exponential Stability of Periodic Solutions for General Neural Networks with Time-Varying Delays |
| title_sort | existence and global exponential stability of periodic solutions for general neural networks with time varying delays |
| url | http://dx.doi.org/10.1155/2008/843695 |
| work_keys_str_mv | AT xinsongyang existenceandglobalexponentialstabilityofperiodicsolutionsforgeneralneuralnetworkswithtimevaryingdelays |