Global Existence and Uniqueness of Solutions of Integral Equations With Multiple Variable Delays and Integro Differential Equations: Progressive Contractions
| dc.authorid | Tunc, Osman/0000-0003-2965-4561 | |
| dc.authorid | Tunc, Cemil/0000-0003-2909-8753 | |
| dc.authorscopusid | 56638410400 | |
| dc.authorscopusid | 6603328862 | |
| dc.authorscopusid | 58094944300 | |
| dc.authorwosid | Yao, Jen-Chih/A-9636-2013 | |
| dc.authorwosid | Tunç, Cemil/Afh-0945-2022 | |
| dc.authorwosid | Tunç, Osman/Gre-9544-2022 | |
| dc.contributor.author | Tunc, Osman | |
| dc.contributor.author | Tunc, Cemil | |
| dc.contributor.author | Yao, Jen-Chih | |
| dc.date.accessioned | 2025-05-10T17:42:03Z | |
| dc.date.available | 2025-05-10T17:42:03Z | |
| dc.date.issued | 2024 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Tunc, Osman] Van Yuzuncu Yil Univ, Baskale Vocat Sch, Dept Comp Programing, TR-65080 Van, Turkiye; [Tunc, Cemil] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkiye; [Yao, Jen-Chih] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 404, Taiwan; [Yao, Jen-Chih] Acad Romanian Scientists, Bucharest 50044, Romania | en_US |
| dc.description | Tunc, Osman/0000-0003-2965-4561; Tunc, Cemil/0000-0003-2909-8753 | en_US |
| dc.description.abstract | In this work, we delve into a nonlinear integral equation (IEq) with multiple variable time delays and a nonlinear integro-differential equation (IDEq) without delay. Global existence and uniqueness (GEU) of solutions of that IEq with multiple variable time delays and IDEq are investigated by the fixed point method using progressive contractions, which are due to T.A. Burton. We prove four new theorems including sufficient conditions with regard to GEU of solutions of the equations. The results generalize and improve some related published results of the relevant literature. | en_US |
| dc.description.sponsorship | MOST | en_US |
| dc.description.sponsorship | The authors would like to thank the anonymous referees and the handling Editor for many useful comments and suggestions, leading to a substantial improvement of the presentation of this article. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.3390/math12020171 | |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-85183134230 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.uri | https://doi.org/10.3390/math12020171 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/15446 | |
| dc.identifier.volume | 12 | en_US |
| dc.identifier.wos | WOS:001151342900001 | |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Geu Of Solutions | en_US |
| dc.subject | Integral Equation | en_US |
| dc.subject | Integro-Differential Equation | en_US |
| dc.subject | Variable Time Delay | en_US |
| dc.subject | Fixed Point | en_US |
| dc.subject | Progressive Contraction | en_US |
| dc.title | Global Existence and Uniqueness of Solutions of Integral Equations With Multiple Variable Delays and Integro Differential Equations: Progressive Contractions | en_US |
| dc.type | Article | en_US |