A detailed study on a solvable system related to the linear fractional difference equation

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dc.contributor.authorTollu, Durhasan Turgut
dc.contributor.authorYalcinkaya, Ibrahim
dc.contributor.authorAhmad, Hijaz
dc.contributor.authorYao, Shao-Wen
dc.date.accessioned2024-02-23T14:37:32Z
dc.date.available2024-02-23T14:37:32Z
dc.date.issued2021
dc.departmentNEÜen_US
dc.description.abstractIn this paper, we present a detailed study of the following system of difference equations x(n+1) = a/1+y(n)x(n-1), y(n+1) = b/1+x(n)y(n-1), n is an element of N-0, where the parameters a, b, and the initial values x(-1), x(0), y(-1), Y-0 are arbitrary real numbers such that x(n) and y(n) are defined. We mainly show by using a practical method that the general solution of the above system can be represented by characteristic zeros of the associated third-order linear equation. Also, we characterized the well-defined solutions of the system. Finally, we study long-term behavior of the well-defined solutions by using the obtained representation forms.en_US
dc.description.sponsorshipNational Natural Science Foundation of China [71601072]; Key Scientific Research Project of Higher Education Institutions in Henan Province of China [20B110006]; Fundamental Research Funds for the Universities of Henan Provinceen_US
dc.description.sponsorshipThis work was supported by the National Natural Science Foundation of China (No. 71601072) , Key Scientific Research Project of Higher Education Institutions in Henan Province of China (No. 20B110006) and the Fundamental Research Funds for the Universities of Henan Province. The authors thank the participants of this study for their valuable contributions.en_US
dc.identifier.doi10.3934/mbe.2021273
dc.identifier.endpage5408en_US
dc.identifier.issn1547-1063
dc.identifier.issn1551-0018
dc.identifier.issue5en_US
dc.identifier.pmid34517493en_US
dc.identifier.scopus2-s2.0-85108283601en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage5392en_US
dc.identifier.urihttps://doi.org/10.3934/mbe.2021273
dc.identifier.urihttps://hdl.handle.net/20.500.12452/16144
dc.identifier.volume18en_US
dc.identifier.wosWOS:000688409900014en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakPubMeden_US
dc.language.isoenen_US
dc.publisherAmer Inst Mathematical Sciences-Aimsen_US
dc.relation.ispartofMathematical Biosciences And Engineeringen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBehavior Of Solutionsen_US
dc.subjectCharacteristic Equationen_US
dc.subjectGeneral Solutionen_US
dc.subjectSystem Of Difference Equationsen_US
dc.subjectPeriodic Solutionen_US
dc.titleA detailed study on a solvable system related to the linear fractional difference equationen_US
dc.typeArticleen_US

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