Open AccessOn the Global Attractivity of a Max‐Type Difference Equation
Author(s) -
Ali Geli̇şken,
Cengiz Çınar
Publication year - 2009
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2009/812674
Subject(s) - mathematics , matrix difference equation , significant difference , period (music) , type (biology) , mathematical analysis , differential equation , riccati equation , physics , statistics , ecology , acoustics , biology
We investigate asymptotic behavior and periodic nature of positive solutions of the difference equation =max{/−1,1/−3},=0,1,…, where >0 and 0<<1. We prove that every positive solution of this difference equation approaches =1 or is eventually periodic with period 2
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