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 Global asymptotic stability of a higher order difference equation Bull. Korean Math. Soc. 2007 Vol. 44, No. 3, 439-445 Printed September 1, 2007 Alaa E. Hamza and R. Khalaf-Allah Cairo University, Helwan University Abstract : The aim of this work is to investigate the global stability, periodic nature, oscillation and the boundedness of solutions of the difference equation $x_{n+1}=\frac{Ax_{n-1}}{B+Cx_{n-2l}x_{n-2k}},\qquad n=0,1,2,\ldots,$ where $A,B,C$ are nonnegative real numbers and $l,k$ are nonnegative integers, $l\leq k$. Keywords : difference equation, periodic solution, globally asymptotically stable MSC numbers : 39A11 Downloads: Full-text PDF