Boundedness and global exponential stability for delayed differential equations with applications
The boundedness of solutions for a class of n-dimensional differential equations with distributed delays is established by assuming the existence of instantaneous negative feedbacks which dominate the delay effect. As an important by-product, some criteria for global exponential stability of equilib...
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| Format: | article |
| Language: | eng |
| Published: |
2009
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| Online Access: | http://hdl.handle.net/1822/11304 |
| Country: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/11304 |
| Summary: | The boundedness of solutions for a class of n-dimensional differential equations with distributed delays is established by assuming the existence of instantaneous negative feedbacks which dominate the delay effect. As an important by-product, some criteria for global exponential stability of equilibria are obtained. The results are illustrated with applications to delayed neural networks and population dynamics models. |
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