Existence and nonexistence outcomes for a third-order q-difference equation
| dc.authorid | 0000-0003-2896-5069 | |
| dc.contributor.author | Turan, Nihan | |
| dc.contributor.author | Ahin, Aynur | |
| dc.date.accessioned | 2026-01-31T15:09:07Z | |
| dc.date.available | 2026-01-31T15:09:07Z | |
| dc.date.issued | 2025 | |
| dc.department | İstanbul Beykent Üniversitesi | |
| dc.description.abstract | In this paper, using the Schauder and the Banach fixed point (FP) theorems, we examine the existence and uniqueness of solutions in the Banach space C([0, 1]) for a boundary value problem (BVP) of non-linear third-order q-difference equations with the q-integral boundary condition. Then, we impose the sufficient condition that allows us to deduce a nonexistence result. Furthermore, we offer some examples to support our main outcomes. | |
| dc.description.sponsorship | Scientific Research Projects Coordinator of Sakarya University [2024-25-63-170] | |
| dc.description.sponsorship | This work was supported by the Scientific Research Projects Coordinator of Sakarya University under grant number 2024-25-63-170. We would like to thank the anonymous referees for their helpful comments, which significantly contributed to the improvement of the paper's quality. | |
| dc.identifier.doi | 10.3934/math.20251188 | |
| dc.identifier.endpage | 27057 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.issue | 11 | |
| dc.identifier.scopus | 2-s2.0-105022885366 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 27044 | |
| dc.identifier.uri | https://doi.org./10.3934/math.20251188 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12662/10832 | |
| dc.identifier.volume | 10 | |
| dc.identifier.wos | WOS:001622414000002 | |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Amer Inst Mathematical Sciences-Aims | |
| dc.relation.ispartof | Aims Mathematics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_WoS_20260128 | |
| dc.subject | boundary value problems | |
| dc.subject | q-difference equations | |
| dc.subject | integral-type boundary conditions | |
| dc.subject | Green's function | |
| dc.subject | fixed point theorems | |
| dc.title | Existence and nonexistence outcomes for a third-order q-difference equation | |
| dc.type | Article |
