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https://hdl.handle.net/20.500.14365/4567
Title: | Separate Contraction and Existence of Periodic Solutions in Totally Nonlinear Delay Differential Equations | Authors: | Adivar M. Islam M.N. Raffoul Y.N. |
Keywords: | Krasnoselskii's fixed point theorem Large contraction Periodic solution Positive periodic solution Separate contraction Totally nonlinear delay differential equations |
Publisher: | Hacettepe University | 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. | URI: | https://search.trdizin.gov.tr/yayin/detay/131958 https://hdl.handle.net/20.500.14365/4567 |
ISSN: | 1303-5010 |
Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection TR Dizin İndeksli Yayınlar Koleksiyonu / TR Dizin Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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