Show simple item record

dc.contributor.advisorYantır, Ahmet
dc.contributor.authorBalikçi, Elif
dc.date.accessioned2021-05-08T12:07:35Z
dc.date.available2021-05-08T12:07:35Z
dc.date.submitted2016
dc.date.issued2018-08-06
dc.identifier.urihttps://acikbilim.yok.gov.tr/handle/20.500.12812/698612
dc.description.abstractBu tezde x_(n+1)=(1+p_n)/q_n , y_(n+1)=(1+r_n)/s_n n∈N_0 fark denklem sistemlerini ele aldık. Burada p_n,q_n,r_nve s_n dizileri x_0ve y_0 başlangıç koşulları sıfırdan farklı olan x_nveya y_n dizilerini temsil etmektedir. Dizilerin seçimine göre on altı farklı denklem sistemi vardır. Bu on altı sistemden on dört tanesinin çözülebilirliği elde edilmiştir. Bu on dört sistemin on ikisinin çözümlerinin Fibonacci sayıları cinsinden olması dikkat çekicidir.
dc.description.abstractIn this thesis, we study the system of difference equations of the form x_(n+1)=(1+p_n)/q_n , y_(n+1)=(1+r_n)/s_n n∈N_0Here each of the sequences p_n,q_n,r_nand s_n represents either the sequence x_n or the squence y_n with nonzero initial conditions x_0 and y_0. We have sixteen possible systems depending on the choice of the sequences. The solvability of fourteen systems out of sixteen systems is established. It is remarkeble that the solutios of twelve systems are in terms of Fibonacci numbers.en_US
dc.languageTurkish
dc.language.isotr
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightsAttribution 4.0 United Statestr_TR
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectMatematiktr_TR
dc.subjectMathematicsen_US
dc.titleFark denklem sistemlerinin çözülebilirliği üzerine
dc.title.alternativeOn solvability of systems of difference equations
dc.typemasterThesis
dc.date.updated2018-08-06
dc.contributor.departmentMatematik Ana Bilim Dalı
dc.identifier.yokid10121353
dc.publisher.instituteFen Bilimleri Enstitüsü
dc.publisher.universityYAŞAR ÜNİVERSİTESİ
dc.identifier.thesisid434186
dc.description.pages48
dc.publisher.disciplineDiğer


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

info:eu-repo/semantics/openAccess
Except where otherwise noted, this item's license is described as info:eu-repo/semantics/openAccess