Stability and Periodicity in Dynamic Delay Equations
| dc.contributor.author | Adıvar, Murat | |
| dc.contributor.author | Raffoul, Youssef N. | |
| dc.date.accessioned | 2023-06-16T12:59:02Z | |
| dc.date.available | 2023-06-16T12:59:02Z | |
| dc.date.issued | 2009 | |
| dc.description.abstract | Let T be an arbitrary time scale that is unbounded above. By means of a variation of Lyapunov's method and contraction mapping principle this paper handles asymptotic stability of the zero solution of the completely delayed dynamic equations x(Delta)(t) = -a(t)x(delta(t))delta(Delta)d(t). Moreover, if T is a periodic time scale, then necessary conditions are given for the existence of a unique periodic solution of the above mentioned equation. (c) 2009 Elsevier Ltd. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.camwa.2009.03.065 | |
| dc.identifier.issn | 0898-1221 | |
| dc.identifier.scopus | 2-s2.0-67349147555 | |
| dc.identifier.uri | https://doi.org/10.1016/j.camwa.2009.03.065 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/1114 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-Elsevier Science Ltd | en_US |
| dc.relation.ispartof | Computers & Mathematıcs Wıth Applıcatıons | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Delay dynamic equations | en_US |
| dc.subject | Fixed point theory | en_US |
| dc.subject | Lyapunov | en_US |
| dc.subject | Periodic solutions | en_US |
| dc.subject | Stability | en_US |
| dc.subject | Time scales | en_US |
| dc.title | Stability and Periodicity in Dynamic Delay 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.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 | 272 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 264 | en_US |
| gdc.description.volume | 58 | en_US |
| gdc.description.wosquality | Q1 | |
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| gdc.oaire.keywords | Computational Mathematics | |
| gdc.oaire.keywords | Computational Theory and Mathematics | |
| gdc.oaire.keywords | Periodic solutions | |
| gdc.oaire.keywords | Modelling and Simulation | |
| gdc.oaire.keywords | Lyapunov | |
| gdc.oaire.keywords | Fixed point theory | |
| gdc.oaire.keywords | Time scales | |
| gdc.oaire.keywords | Stability | |
| gdc.oaire.keywords | Delay dynamic equations | |
| gdc.oaire.keywords | delay dynamic equations | |
| gdc.oaire.keywords | Stability theory of functional-differential equations | |
| gdc.oaire.keywords | Applications of operator theory to differential and integral equations | |
| gdc.oaire.keywords | fixed point theory | |
| gdc.oaire.keywords | time scales | |
| gdc.oaire.keywords | periodic solutions | |
| gdc.oaire.keywords | stability | |
| gdc.oaire.keywords | Periodic solutions to functional-differential equations | |
| gdc.oaire.keywords | Dynamic equations on time scales or measure chains | |
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| gdc.virtual.author | Adivar, Murat | |
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