Solvability of a system of nonlinear difference equations of higher order

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Küçük Resim

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

TUBITAK

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, we show that the following higher-order system of nonlinear difference equations, xn=xn-kyn-k-l/yn-l(an+bnxn-kyn-k-l, yn=yn-kxn-k-l/xn-l(?n+ßnyn-kxn-k-l), n?0, where k, l,? , (an)n ? 0, (bn)n ? 0, (?n)n ? 0, (ßn)n ? 0 and the initial values x-i; y-i, i = 1, k + l , are real numbers, can be solved and some results in the literature can be extended further. Also, by using these obtained formulas, we investigate the asymptotic behavior of well-defined solutions of the above difference equations system for the case k = 2, l = k. © Tübitak.

Açıklama

Anahtar Kelimeler

Asymptotic Behavior, Solution of System of Difference Equations in Closed Form, System of Nonlinear Difference Equations

Kaynak

Turkish Journal of Mathematics

WoS Q Değeri

N/A

Scopus Q Değeri

Q2

Cilt

43

Sayı

3

Künye