On the solutions of the second-order (p, q)-difference equation with an application to the fixed-point theory

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dc.authoridTuran, Nihan/0000-0003-2896-5069
dc.authoridSahin, Aynur/0000-0001-6114-9966
dc.contributor.authorTuran, Nihan
dc.contributor.authorBasari, Metin
dc.contributor.authorSahin, Aynur
dc.date.accessioned2025-03-09T10:48:33Z
dc.date.available2025-03-09T10:48:33Z
dc.date.issued2024
dc.departmentİstanbul Beykent Üniversitesi
dc.description.abstractIn this paper, we examined the existence and uniqueness of solutions to the secondorder (p, q)-difference equation with non-local boundary conditions by using the Banach fixed-point theorem. Moreover, we introduced a special case of this equation called the Euler-Cauchy-like (p, q)difference equation and provide its solution. We also studied the oscillation of solutions for this equation in (p, q)-calculus and proved the (p, q)-Sturm-type separation theorem and (p, q)-Kneser theorem about the oscillation of solutions.
dc.identifier.doi10.3934/math.2024521
dc.identifier.endpage10697
dc.identifier.issn2473-6988
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85188231671
dc.identifier.scopusqualityQ1
dc.identifier.startpage10679
dc.identifier.urihttps://doi.org/10.3934/math.2024521
dc.identifier.urihttps://hdl.handle.net/20.500.12662/4597
dc.identifier.volume9
dc.identifier.wosWOS:001197577500011
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250310
dc.subject(p, q)-derivative
dc.subjectsecond-order difference equation
dc.subjecttime scale
dc.subjectoscillations
dc.subjectfixed-points
dc.titleOn the solutions of the second-order (p, q)-difference equation with an application to the fixed-point theory
dc.typeArticle

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