Exponential Decay for a System of Equations with Distributed Delays
We prove convergence of solutions to zero in an exponential manner for a system of ordinary differential equations. The feature of this work is that it deals with nonlinear non-Lipschitz and unbounded distributed delay terms involving non-Lipschitz and unbounded activation functions.
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/981383 |
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| _version_ | 1849398499226943488 |
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| author | Nasser-Eddine Tatar |
| author_facet | Nasser-Eddine Tatar |
| author_sort | Nasser-Eddine Tatar |
| collection | DOAJ |
| description | We prove convergence of solutions to zero in an exponential manner for a
system of ordinary differential equations. The feature of this work is that
it deals with nonlinear non-Lipschitz and unbounded distributed delay terms
involving non-Lipschitz and unbounded activation functions. |
| format | Article |
| id | doaj-art-a12137fb55d4442a85dcaddcfab0f120 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a12137fb55d4442a85dcaddcfab0f1202025-08-20T03:38:35ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/981383981383Exponential Decay for a System of Equations with Distributed DelaysNasser-Eddine Tatar0Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaWe prove convergence of solutions to zero in an exponential manner for a system of ordinary differential equations. The feature of this work is that it deals with nonlinear non-Lipschitz and unbounded distributed delay terms involving non-Lipschitz and unbounded activation functions.http://dx.doi.org/10.1155/2015/981383 |
| spellingShingle | Nasser-Eddine Tatar Exponential Decay for a System of Equations with Distributed Delays Journal of Applied Mathematics |
| title | Exponential Decay for a System of Equations with Distributed Delays |
| title_full | Exponential Decay for a System of Equations with Distributed Delays |
| title_fullStr | Exponential Decay for a System of Equations with Distributed Delays |
| title_full_unstemmed | Exponential Decay for a System of Equations with Distributed Delays |
| title_short | Exponential Decay for a System of Equations with Distributed Delays |
| title_sort | exponential decay for a system of equations with distributed delays |
| url | http://dx.doi.org/10.1155/2015/981383 |
| work_keys_str_mv | AT nassereddinetatar exponentialdecayforasystemofequationswithdistributeddelays |