Document Type
Article
Date of Original Version
12-1-2004
Abstract
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.
Publication Title, e.g., Journal
Advances in Difference Equations
Volume
2004
Issue
2
Citation/Publisher Attribution
Kalabušić, Senadak, and M. R. 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.
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