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dc.contributor.authorStević, Stevoen_US
dc.contributor.authorIričanin, Bratislaven_US
dc.contributor.authorKosmala, Witolden_US
dc.date.accessioned2023-08-18T10:13:04Z-
dc.date.available2023-08-18T10:13:04Z-
dc.date.issued2023-
dc.identifier.issn2473-6988-
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/5141-
dc.description.abstractWe present some closed-form formulas for the general solution to the family of difference equations (xn+1 = Φ−1 Φ(xn−1)αΦ(x) n−2) + βΦ(xn−4), γΦ(xn−2) + δΦ(xn−4) for n ≠ N0 where the initial values x−j, j = 0, 4 and the parameters α, β, γ and δ are real numbers satisfying the conditions α2 + β2 ≠ 0, γ2 + δ2 ≠ 0 and Φ is a function which is a homeomorphism of the real line such that Φ(0) = 0, generalizing in a natural way some closed-form formulas to the general solutions to some very special cases of the family of difference equations which have been presented recently in the literature. Besides this, we consider in detail some of the recently formulated statements in the literature on the local and global stability of the equilibria as well as on the boundedness character of positive solutions to the special cases of the difference equation and give some comments and results related to the statements.en_US
dc.publisherAIMS Pressen_US
dc.relationThe paper was made during the investigation supported by the Ministry of Education, Science and Technological Development of Serbia, contract no. 451-03-47/2023-01/200103en_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.rightsAttribution 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectbilinear difference equation | closed-form formula for solutions | difference equations | solvable equationen_US
dc.titleOn a family of nonlinear difference equations of the fifth order solvable in closed formen_US
dc.typeArticleen_US
dc.identifier.doi10.3934/math.20231153-
dc.identifier.scopus2-s2.0-85165098393-
dc.contributor.affiliationMathematicsen_US
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Artsen_US
dc.relation.firstpage22662-
dc.relation.lastpage22674-
dc.relation.issue10-
dc.relation.volume8-
dc.description.rank~M21a-
item.cerifentitytypePublications-
item.grantfulltextopen-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextWith Fulltext-
crisitem.author.orcid0000-0002-7202-9764-
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