Global attractivity of a higher-order difference equation (Q714302)

Summary: Our aim is to investigate the global stability, periodic nature, oscillation, and the boundedness of all admissible solutions of the difference equation \(x_{n+1} = Ax_{n-2r-1}/(B - C \prod^k_{i=l} x_{n-2i})\), \(n = 0, 1, 2, \dots\) where \(A, B, C\) are positive real numbers and \(l, r, k\) are nonnegative integers, such that \(l \leq k\).