Global attractivity of a rational difference equation with higher order and its applications

Abstract

We study in this paper the global attractivity for a higher order rational difference equation. As application, our results not only include and generalize many known ones, but also formulate some new results for several conjectures presented by Camouzis and Ladas, et al.

Keywords

• rational difference equation with higher order
• global attractivity
• globally asymptotically stable
• schwarzian derivative
• conjecture