Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14365/879
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dc.contributor.authorAdıvar, Murat-
dc.contributor.authorRaffoul, Youssef N.-
dc.date.accessioned2023-06-16T12:47:49Z-
dc.date.available2023-06-16T12:47:49Z-
dc.date.issued2009-
dc.identifier.issn0373-3114-
dc.identifier.issn1618-1891-
dc.identifier.urihttps://doi.org/10.1007/s10231-008-0088-z-
dc.identifier.urihttps://hdl.handle.net/20.500.14365/879-
dc.description.abstractUsing the topological degree method and Schaefer's fixed point theorem, we deduce the existence of periodic solutions of nonlinear system of integro-dynamic equations on periodic time scales. Furthermore, we provide several applications to scalar equations, in which we develop a time scale analog of Lyapunov's direct method and prove an analog of Sobolev's inequality on time scales to arrive at a priori bound on all periodic solutions. Therefore, we improve and generalize the corresponding results in Burton et al. (Ann Mat Pura Appl 161: 271-283, 1992)en_US
dc.description.sponsorshipScientific and Technological Research Council of Turkeyen_US
dc.description.sponsorship~This work was supported by The Scientific and Technological Research Council of Turkey.en_US
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofAnnalı Dı Matematıca Pura Ed Applıcataen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPeriodic time scaleen_US
dc.subjectDynamic equationen_US
dc.subjectVolterra integral equationen_US
dc.subjectSobolev's inequalityen_US
dc.subjectSchaeferen_US
dc.subjectLyapunoven_US
dc.subjectPeriodic solutionen_US
dc.titleExistence Results for Periodic Solutions of Integro-Dynamic Equations on Time Scalesen_US
dc.typeArticleen_US
dc.identifier.doi10.1007/s10231-008-0088-z-
dc.identifier.scopus2-s2.0-70349652161-
dc.departmentİzmir Ekonomi Üniversitesien_US
dc.authoridADIVAR, Murat/0000-0002-9707-2005-
dc.authorwosidADIVAR, Murat/N-3430-2018-
dc.authorscopusid55913381700-
dc.authorscopusid6602902226-
dc.identifier.volume188en_US
dc.identifier.issue4en_US
dc.identifier.startpage543en_US
dc.identifier.endpage559en_US
dc.identifier.wosWOS:000269996900001-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ3-
dc.identifier.wosqualityQ2-
item.openairetypeArticle-
item.grantfulltextopen-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextWith Fulltext-
crisitem.author.dept02.02. Mathematics-
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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