Inequalities and Exponential Decay in Time Varying Delay Differential Equations
| dc.contributor.author | Adivar, Murat | |
| dc.contributor.author | Raffoul, Youssef N. | |
| dc.date.accessioned | 2023-06-16T14:11:15Z | |
| dc.date.available | 2023-06-16T14:11:15Z | |
| dc.date.issued | 2011 | |
| dc.description.abstract | We use Lyapunov functionals to obtain sufficient conditions that guarantee exponential decay of solutions to zero of the time varying delay differential equation x'(t) = b(t) x(t) - a(t) x(t - h(t)). The highlights of the paper are allowing b( t) to change signs and the delay to vary with time. In addition, we obtain a criterion for the instability of the zero solution. Moreover, by comparison to existing literature we show effectiveness of our results. (C) 2011 Elsevier Ltd. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.mcm.2011.03.027 | |
| dc.identifier.issn | 0895-7177 | |
| dc.identifier.scopus | 2-s2.0-79955477021 | |
| dc.identifier.uri | https://doi.org/10.1016/j.mcm.2011.03.027 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/1333 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-Elsevier Science Ltd | en_US |
| dc.relation.ispartof | Mathematıcal And Computer Modellıng | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Exponential stability | en_US |
| dc.subject | Instability | en_US |
| dc.subject | Lyapunov functional | en_US |
| dc.subject | Time delay | en_US |
| dc.title | Inequalities and Exponential Decay in Time Varying Delay Differential Equations | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | ADIVAR, Murat/0000-0002-9707-2005 | |
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| gdc.author.wosid | ADIVAR, Murat/N-3430-2018 | |
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| gdc.coar.type | text::journal::journal article | |
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| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | [Adıvar, Murat] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey; [Raffoul, Youssef N.] Univ Dayton, Dept Math, Dayton, OH 45469 USA | en_US |
| gdc.description.endpage | 802 | en_US |
| gdc.description.issue | 1.Şub | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | N/A | |
| gdc.description.startpage | 794 | en_US |
| gdc.description.volume | 54 | en_US |
| gdc.identifier.openalex | W2044717199 | |
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| gdc.oaire.keywords | Modelling and Simulation | |
| gdc.oaire.keywords | Computer Science Applications | |
| gdc.oaire.keywords | instability | |
| gdc.oaire.keywords | Stability theory of functional-differential equations | |
| gdc.oaire.keywords | exponential stability | |
| gdc.oaire.keywords | Lyapunov functional | |
| gdc.oaire.keywords | time delay | |
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| gdc.virtual.author | Adivar, Murat | |
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