Dynamics of a Rational Difference Equation

被引：0
作者：
Xiu-Mei Jia
Lin-Xia Hu
Wan-Tong Li
机构：
[1] Hexi University,Department of Mathematics
[2] Lanzhou University,School of Mathematics and Statistics
[3] Tianshui Normal University,Department of Mathematics
来源：
Advances in Difference Equations | / 2010卷
关键词：
Real Number; Equilibrium Point; Open Problem; Difference Equation; Asymptotic Stability;
D O I：
暂无
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学科分类号：
摘要：
The main goal of the paper is to investigate boundedness, invariant intervals, semicycles, and global attractivity of all nonnegative solutions of the equation [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], where the parameters [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] is an integer, and the initial conditions [inline-graphic not available: see fulltext]. It is shown that the unique positive equilibrium of the equation is globally asymptotically stable under the condition [inline-graphic not available: see fulltext]. The result partially solves the open problem proposed by Kulenović and Ladas in work (2002).
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