ATTRACTIVE BEHAVIOR OF SOLUTIONS OF A NONLINEAR HIGHER ORDER DIFFERENCE EQUATIONS

• 作者: Han Zhenlai Shi Bao Sun Shurong
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 非线性高阶微分方程 正平衡 离散系统 吸引子
• 年，卷（期）: 2005,（4）
• 页码范围: 556-561
• 页数: 6页
• 分类号: O175

摘要

<正>In this paper, we study the global attractivity of solutions of higher order nonlinear difference equation xn+1=f(xn+1-1,xn+1-2,…,xn,xn-1,)n=0,1,2,…, where f is a continuous, positive, decreasing function on [0,+∞)1+1\{(0,…,0)}. We extend some known global behavior of the solutions of nonlinear higher order difference equations.