Qualitative properties for a fourth-order rational difference equation

Authors: Vũ Văn Khương, Lê Hồng Lan,

http://www.m-hikari.com/imf-2011/41-44-2011/khuongIMF41-44-2011-1.pdf

Publisher, magazine: ,

Publication year: 2011

  Lưu        Trích dẫn         Chia sẻ

Abstract

In this work, we investigate the global stability of the following fourth-order rational difference equation xn+1 = xnxb n−1xb n−3 + xn + xb n−1 + xb n−3 + a xnxb n−1 + xb n−1xb n−3 + xnxb n−3 +1+ a , n = 0, 1, 2, ... (1) where a, b ∈ [0,∞) and the initial values x−3, x−2, x−1, x0 ∈ (0,∞).

Tags: rational difference equation; global asymptotic stability; oscillation