Separate Contraction and Existence of Periodic Solutions in Totally Nonlinear Delay Differential Equations
| dc.contributor.author | Adivar M. | |
| dc.contributor.author | Islam M.N. | |
| dc.contributor.author | Raffoul Y.N. | |
| dc.date.accessioned | 2023-06-16T18:52:06Z | |
| dc.date.available | 2023-06-16T18:52:06Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | In this study, we employ the fixed point theorem of Krasnoselskii and the concepts of separate and large contractions to show the existence of a periodic solution of a highly nonlinear delay differential equation. Also, we give a classification theorem providing sufficient conditions for an operator to be a large contraction, and hence, a separate contraction. Finally, under slightly different conditions, we obtain the existence of a positive periodic solution. | en_US |
| dc.identifier.issn | 1303-5010 | |
| dc.identifier.scopus | 2-s2.0-84866030377 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/yayin/detay/131958 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/4567 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hacettepe University | en_US |
| dc.relation.ispartof | Hacettepe Journal of Mathematics and Statistics | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Krasnoselskii's fixed point theorem | en_US |
| dc.subject | Large contraction | en_US |
| dc.subject | Periodic solution | en_US |
| dc.subject | Positive periodic solution | en_US |
| dc.subject | Separate contraction | en_US |
| dc.subject | Totally nonlinear delay differential equations | en_US |
| dc.title | Separate Contraction and Existence of Periodic Solutions in Totally Nonlinear Delay Differential Equations | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 55913381700 | |
| gdc.author.scopusid | 6602902226 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.departmenttemp | Adivar, M., Department of Mathematics, Izmir University of Economics, 35530 Balcova, Izmir, Turkey; Islam, M.N., Department of Mathematics, University of Dayton, Dayton, OH 45469-2316, United States; Raffoul, Y.N., Department of Mathematics, University of Dayton, Dayton, OH 45469-2316, United States | en_US |
| gdc.description.endpage | 13 | 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 | 1 | en_US |
| gdc.description.volume | 41 | en_US |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.trdizinid | 131958 | |
| gdc.identifier.wos | WOS:000305304500001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.index.type | TR-Dizin | |
| gdc.scopus.citedcount | 23 | |
| gdc.virtual.author | Adivar, Murat | |
| gdc.wos.citedcount | 20 | |
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