On the Asymptotic Behavior and Periodic Nature of a Difference Equation With Maximum

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Küçük Resim

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