Global asymptotic stability of a nonlinear recursive sequence Original Research Article

A sufficient condition is obtained to guarantee the global asymptotic stability of the following nonlinear recursive difference equation: View the MathML sourcexn+1=xnxn−1b+xn−2b+axn−1b+xnxn−2b+a,n=0,1,2,…, Turn MathJax on where a, b [0, ∞] and the initial values x−2, x−1, x0 (0, ∞). Some known results are included and improved.