Title of article
On the asymptotic behavior and periodic nature of a difference equation with maximum
Author/Authors
Ali Geli³ken ، نويسنده , , Cengiz cinar، نويسنده , , Abdullah Selcuk Kurbanli، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
5
From page
898
To page
902
Abstract
In this paper, we investigate the asymptotic behavior and periodic nature of positive
solutions of the difference equation
xn D max
A
xn1
;
1
x
n2
; n 0;
where A 0 and 0 1. We prove that every positive solution of this difference
equation approaches x D 1 or is eventually periodic with a period 2, 3 or 4.
Keywords
Periodicity , Max operator , Difference equation , positive solution , Global attractivity
Journal title
Computers and Mathematics with Applications
Serial Year
2010
Journal title
Computers and Mathematics with Applications
Record number
921217
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