Advances in Difference Equations volume 2008, Article number: 143723 (2007)
In this paper, we consider the nonlinear difference equation 
, 
, where 
with 
and 
and the initial values 
with 
. We give sufficient conditions under which every positive solution of this equation converges to a ( not necessarily prime ) 2-periodic solution, which extends and includes corresponding results obtained in the recent literature.
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Sun, T., Xi, H. The Periodic Character of the Difference Equation .
Adv Differ Equ 2008, 143723 (2007). https://doi.org/10.1155/2008/143723
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DOI: https://doi.org/10.1155/2008/143723