On the Asymptotic Behavior and Periodic Nature of a Difference Equation With Maximum
Yükleniyor...
Dosyalar
Tarih
2010
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we investigate the asymptotic behavior and periodic nature of positive solutions of the difference equation x(n) = max {A/x(n-1), 1/x(n-2)(alpha)}, n >= 0, where A >= 0 and 0 <= alpha <= 1. We prove that every positive solution of this difference equation approaches (x) over bar = 1 or is eventually periodic with a period 2, 3 or 4.
Açıklama
Anahtar Kelimeler
Max operator, Difference equation, Positive solution, Global attractivity, Periodicity
Kaynak
Computers & Mathematics With Applications
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
59
Sayı
Künye
Gelişken, A., Çınar, C., Kurbanlı, A. S., (2010). On the Asymptotic Behavior and Periodic Nature of a Difference Equation With Maximum. Computers & Mathematics With Applications, (59), 898-902. Doi: 10.1016/j.camwa.2009.10.004
