Highly Influenced

4 Excerpts

- Published 2007

In this paper, we study the asymptotic behavior of positive solutions of the nonlinear difference equation xn+1 = xnf(xn−k), where f : [0,∞)→ (0,∞) is a unimodal function, and k is a nonnegative integer. Sufficient conditions for the positive equilibrium to be a global attractor of all positive solutions are established. Our results can be applied to to some difference equations derived from mathematical biology.

@inproceedings{Qian2007GlobalAI,
title={Global Attractivity in a Nonlinear Difference Equation},
author={Chuanxi Qian and Yijun Sun},
year={2007}
}