We investigate the rate of convergence of solutions of some special cases of the equation , 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.
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Kalabušić, S., Kulenović, M.R.S. Rate of convergence of solutions of rational difference equation of second order. Adv Differ Equ 2004, 901703 (2004). https://doi.org/10.1155/S168718390430806X