Solvability of a system of higher order nonlinear difference equations
| dc.contributor.author | Kara, Merve | |
| dc.contributor.author | Yazlık, Yasin | |
| dc.contributor.author | Tollu, Durhasan Turgut | |
| dc.date.accessioned | 2021-06-09T07:11:10Z | |
| dc.date.available | 2021-06-09T07:11:10Z | |
| dc.date.issued | 2020 | |
| dc.department | Ortaköy Meslek Yüksekokulu | |
| dc.description | *Kara, Merve ( Aksaray, Yazar ) | |
| dc.description.abstract | In this paper we show that the system of difference equations xn = ayn-k + dyn-kxn-(k+l)/bxn-(k+l) + cyn-l, yn = ?xn-k + ?xn-kyn-(k+l)/?yn-(k+l) + ?xn-l, where n ? ?0, k and l are positive integers, the parameters a, b, c, d, ?, ?, ?, ? are real numbers and the initial values x-j, y-j, j = 1, k + l, are real numbers, can be solved in the closed form. We also determine the asymptotic behavior of solutions for the case l = 1 and describe the forbidden set of the initial values using the obtained formulas. Our obtained results significantly extend and develop some recent results in the literature. | |
| dc.identifier.doi | 10.15672/hujms.474649 | |
| dc.identifier.endpage | 1593 | en_US |
| dc.identifier.issn | 2651-477X | |
| dc.identifier.issue | 5 | en_US |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 1566 | en_US |
| dc.identifier.uri | https:/dx.doi.org/10.15672/hujms.474649 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12451/8098 | |
| dc.identifier.volume | 49 | en_US |
| dc.identifier.wos | WOS:000581099500002 | |
| dc.identifier.wosquality | Q3 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.language.iso | en | |
| dc.publisher | Hacettepe University | |
| dc.relation.ispartof | Hacettepe Journal of Mathematics and Statistics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Asymptotic Behavior | |
| dc.subject | Fibonacci Sequence | |
| dc.subject | Forbidden Set | |
| dc.subject | System of Difference Equations | |
| dc.title | Solvability of a system of higher order nonlinear difference equations | |
| dc.type | Article |
