Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4636078 | Applied Mathematics and Computation | 2006 | 5 Pages |
Abstract
This paper studies the asymptotic behavior of positive solutions to the difference equationxn=max1xn-1α,Axn-2,n=0,1,â¦,where 0 < α < 1, A > 0. We prove that every positive solution of this equation approaches xâ = 1 or is eventually periodic with period 4 according as A ⩽ 1 or A > 1.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xiaofan Yang, Xiaofeng Liao, Chuandong Li,