Type-K Exponential Ordering with Application to Delayed Hopfield-Type Neural Networks
Order-preserving and convergent results of delay functional differential equations without quasimonotone condition are established under type-K exponential ordering. As an application, the model of delayed Hopfield-type neural networks with a type-K monotone interconnection matrix is considered, and...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/580482 |
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| _version_ | 1832565645895532544 |
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| author | Bin-Guo Wang |
| author_facet | Bin-Guo Wang |
| author_sort | Bin-Guo Wang |
| collection | DOAJ |
| description | Order-preserving and convergent results of delay functional differential equations
without quasimonotone condition are established under type-K exponential ordering.
As an application, the model of delayed Hopfield-type neural networks with a type-K
monotone interconnection matrix is considered, and the attractor result is obtained. |
| format | Article |
| id | doaj-art-4d719b2fb58244dc90cef4fb5cefadae |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-4d719b2fb58244dc90cef4fb5cefadae2025-02-03T01:07:00ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/580482580482Type-K Exponential Ordering with Application to Delayed Hopfield-Type Neural NetworksBin-Guo Wang0School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, ChinaOrder-preserving and convergent results of delay functional differential equations without quasimonotone condition are established under type-K exponential ordering. As an application, the model of delayed Hopfield-type neural networks with a type-K monotone interconnection matrix is considered, and the attractor result is obtained.http://dx.doi.org/10.1155/2012/580482 |
| spellingShingle | Bin-Guo Wang Type-K Exponential Ordering with Application to Delayed Hopfield-Type Neural Networks Journal of Applied Mathematics |
| title | Type-K Exponential Ordering with Application to Delayed Hopfield-Type Neural Networks |
| title_full | Type-K Exponential Ordering with Application to Delayed Hopfield-Type Neural Networks |
| title_fullStr | Type-K Exponential Ordering with Application to Delayed Hopfield-Type Neural Networks |
| title_full_unstemmed | Type-K Exponential Ordering with Application to Delayed Hopfield-Type Neural Networks |
| title_short | Type-K Exponential Ordering with Application to Delayed Hopfield-Type Neural Networks |
| title_sort | type k exponential ordering with application to delayed hopfield type neural networks |
| url | http://dx.doi.org/10.1155/2012/580482 |
| work_keys_str_mv | AT binguowang typekexponentialorderingwithapplicationtodelayedhopfieldtypeneuralnetworks |