Vl. Kocic et G. Ladas, GLOBAL ATTRACTIVITY IN A NONLINEAR 2ND-ORDER DIFFERENCE EQUATION, Communications on pure and applied mathematics, 48(9-10), 1995, pp. 1115-1122
In this paper we obtain a global attractivity result for the positive
equilibrium of a nonlinear second-order difference equation of the for
m x(n+1)=f(x(n),x(n-1)), n=0,1,... The result applies to the differenc
e equation x(n+1)=a+bx(n)\A+x(n-1), n=0,1,... where a,b,A epsilon(0,in
finity). (C) 1996 John Wiley & Sons, Inc.