%0 Journal Article
%T Global behavior of a third order difference equation
%A Raafat Abo-zeid
%J Tamkang Journal of Mathematics
%D 2012
%I Tamkang University
%R 10.5556/j.tkjm.43.2012.375-384
%X The aim of this paper is to investigate the global stability and periodic nature of the positive solutions of the difference equation[x_{n+1}=frac{A+Bx_{n-1}}{C+Dx_{n}x_{n-2}},qquad n=0,1,2,ldots] where $A,B$ are nonnegative real numbers and$C, D>0$.
%K difference equation
%K periodic solution
%K globally
%U http://journals.math.tku.edu.tw/index.php/TKJM/article/view/801