CONVERGENT AND DIVERGENT SOLUTIONS OF TWO-DIMENSIONAL NONLINEAR DIFFERENCE SYSTEM

• 作者: Liao Xinyuan
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 二维空间系统 非线性微分方程 渐进线 分歧解 固定点 收敛性
• 年，卷（期）: 2005,（4）
• 页码范围: 562-568
• 页数: 7页
• 分类号: O175

摘要

<正>In this paper, we are concerned with the existence of convergent or divergent solutions of two-dimensional nonlinear difference system of the form (?)xn+1=anxn+bnf(yn), yn=cnyn-1+dng(xn). We classify their solutions according to asymptotic behavior and give some sufficient and necessary conditions for the existence of solutions of such classes by using the method of the fixed point theorem. We also give an example and show how the results can he applied to certain difference systems.