Existence Results for Periodic Solutions of Integro-Dynamic Equations on Time Scales
| dc.contributor.author | Adıvar, Murat | |
| dc.contributor.author | Raffoul, Youssef N. | |
| dc.date.accessioned | 2023-06-16T12:47:49Z | |
| dc.date.available | 2023-06-16T12:47:49Z | |
| dc.date.issued | 2009 | |
| dc.description.abstract | Using 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.sponsorship | Scientific and Technological Research Council of Turkey | en_US |
| dc.description.sponsorship | ~This work was supported by The Scientific and Technological Research Council of Turkey. | en_US |
| dc.identifier.doi | 10.1007/s10231-008-0088-z | |
| dc.identifier.issn | 0373-3114 | |
| dc.identifier.issn | 1618-1891 | |
| dc.identifier.scopus | 2-s2.0-70349652161 | |
| dc.identifier.uri | https://doi.org/10.1007/s10231-008-0088-z | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/879 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.ispartof | Annalı Dı Matematıca Pura Ed Applıcata | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Periodic time scale | en_US |
| dc.subject | Dynamic equation | en_US |
| dc.subject | Volterra integral equation | en_US |
| dc.subject | Sobolev's inequality | en_US |
| dc.subject | Schaefer | en_US |
| dc.subject | Lyapunov | en_US |
| dc.subject | Periodic solution | en_US |
| dc.title | Existence Results for Periodic Solutions of Integro-Dynamic Equations on Time Scales | 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 | İEÜ, Fen Edebiyat Fakültesi, Matematik Bölümü | 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 | 559 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 543 | en_US |
| gdc.description.volume | 188 | en_US |
| gdc.description.wosquality | Q2 | |
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| gdc.oaire.keywords | Lyapunov's direct method | |
| gdc.oaire.keywords | Dynamic equations on time scales or measure chains | |
| gdc.oaire.keywords | Systems of nonlinear integral equations | |
| gdc.oaire.keywords | Periodic solutions of integral equations | |
| gdc.oaire.keywords | periodic solution | |
| gdc.oaire.keywords | periodic time scale | |
| gdc.oaire.keywords | Sobolev's inequality | |
| gdc.oaire.keywords | Schaefer's fixed point theorem | |
| gdc.oaire.keywords | Volterra integral equation | |
| gdc.oaire.keywords | dynamic equation | |
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| gdc.virtual.author | Adivar, Murat | |
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