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https://hdl.handle.net/20.500.14365/1333
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DC Field | Value | Language |
---|---|---|
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.identifier.issn | 0895-7177 | - |
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.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.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 |
dc.identifier.doi | 10.1016/j.mcm.2011.03.027 | - |
dc.identifier.scopus | 2-s2.0-79955477021 | en_US |
dc.department | İzmir Ekonomi Üniversitesi | en_US |
dc.authorid | ADIVAR, Murat/0000-0002-9707-2005 | - |
dc.authorwosid | ADIVAR, Murat/N-3430-2018 | - |
dc.authorscopusid | 55913381700 | - |
dc.authorscopusid | 6602902226 | - |
dc.identifier.volume | 54 | en_US |
dc.identifier.issue | 1.Şub | en_US |
dc.identifier.startpage | 794 | en_US |
dc.identifier.endpage | 802 | en_US |
dc.identifier.wos | WOS:000290014600074 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.scopusquality | N/A | - |
item.grantfulltext | open | - |
item.openairetype | Article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.fulltext | With Fulltext | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
crisitem.author.dept | 02.02. Mathematics | - |
Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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