Existence of Resolvent for Volterra Integral Equations on Time Scales
| dc.contributor.author | Adıvar, Murat | |
| dc.contributor.author | Raffoul, Youssef N. | |
| dc.date.accessioned | 2023-06-16T14:11:52Z | |
| dc.date.available | 2023-06-16T14:11:52Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | We introduce the concept of 'shift operators' in order to establish sufficient conditions for the existence of the resolvent for the Volterra integral equation x(t) = f(t) + integral(t)(t0)a(t, s)x(s)Delta s, t(0) is an element of T-kappa, on time scales. The paper will serve as the foundation for future research on the qualitative analysis of solutions of Volterra integral equations on time scales, using the notion of the resolvent. | 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 | 10.1017/S0004972709001166 | |
| dc.identifier.issn | 0004-9727 | |
| dc.identifier.issn | 1755-1633 | |
| dc.identifier.scopus | 2-s2.0-77957355924 | |
| dc.identifier.uri | https://doi.org/10.1017/S0004972709001166 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/1491 | |
| dc.language.iso | en | en_US |
| dc.publisher | Cambridge Univ Press | en_US |
| dc.relation.ispartof | Bulletın of the Australıan Mathematıcal Socıety | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | existence | en_US |
| dc.subject | resolvent | en_US |
| dc.subject | shift operator | en_US |
| dc.subject | time scales | en_US |
| dc.subject | Volterra integral equation | en_US |
| dc.title | Existence of Resolvent for Volterra Integral Equations on Time Scales | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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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 | 155 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 139 | en_US |
| gdc.description.volume | 82 | en_US |
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| gdc.oaire.keywords | shift operator | |
| gdc.oaire.keywords | Volterra integral equations | |
| gdc.oaire.keywords | time scales | |
| gdc.oaire.keywords | resolvent | |
| gdc.oaire.keywords | Volterra integral equation | |
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| gdc.virtual.author | Adivar, Murat | |
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