Solvability of a system of higher order nonlinear difference equations
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Dosyalar
Tarih
2020
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hacettepe University
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
*Kara, Merve ( Aksaray, Yazar )
Anahtar Kelimeler
Asymptotic Behavior, Fibonacci Sequence, Forbidden Set, System of Difference Equations
Kaynak
Hacettepe Journal of Mathematics and Statistics
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
49
Sayı
5
