On fourteen solvable systems of difference equations
Küçük Resim Yok
Tarih
2014
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
ELSEVIER SCIENCE INC
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we mainly consider the systems of difference equations x(n+1) = 1+p(n)/q(n), y(n+1) = 1+r(n)/s(n), n is an element of N-0, where each of the sequences p(n); q(n); r(n) and s(n) represents either the sequence x(n) or the sequence y(n), with nonzero real initial values x(0) and y(0). Then we solve fourteen out of sixteen possible systems. It is noteworthy to depict that the solutions are presented in terms of Fibonacci numbers for twelve systems of these fourteen systems. (C) 2014 Elsevier Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
System of difference equations, Riccati difference equation, General solution, Fibonacci numbers
Kaynak
APPLIED MATHEMATICS AND COMPUTATION
WoS Q Değeri
Q1
Scopus Q Değeri
Cilt
233
