Rate of convergence of solutions of rational difference equation of second order
Date of Original Version
We investigate the rate of convergence of solutions of some special cases of the equation xn+1 = (α + βxn + γxn-1)/(A + Bxn + Cxn-1), n = 0, 1,..., with positive parameters and nonnegative initial conditions.We give precise results about the rate of convergence of the solutions that converge to the equilibrium or period-two solution by using Poincaré's theorem and an improvement of Perron's theorem.
Advances in Difference Equations
Kalabušić, Senadak, and M. R.S. Kulenović. "Rate of convergence of solutions of rational difference equation of second order." Advances in Difference Equations 2004, 2 (2004): 121-139. doi:10.1155/S168718390430806X.