Global asymptotic stability of a second order rational difference equation

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• 作者：Lin-Xia Hu ; ^{lxhu@mail.tsnc.edu.cn" class="auth_mail} ; Hong-Ming Xia
• 关键词：Difference equation ; Boundedness ; Period-two solution ; Stable ; Global attractor ; Globally asymptotically stable
• 刊名：Applied Mathematics and Computation
• 出版年：1 May 2014
• 年：2014
• 卷：233
• 期：Complete
• 页码：377-382
• 全文大小：285 K

文摘

The main goal of this paper is to investigate the global asymptotic stability of the difference equationwhereand the initial conditions y_-1,y₀∈[0,∞)$y_{-1}\text{,}{y}_0\in [0\text{,}\infty )$ . We show that the unique equilibrium $\overline{y}=1$ is globally asymptotically stable under the certain conditions.