差分系统平衡点的判别  

Discriminace for Equilibrium Points of Difference Systems

作　　者：郭小林[1] 

机构地区：[1]安徽财经大学信息工程学院计算机系,蚌埠233041

出　　处：《大学数学》2008年第1期51-54,共4页College Mathematics

摘　　要：平衡点在研究差分系统的零解的稳定性时具有极其重要的作用.本文首先给出了线性差分系统平衡点存在的充要条件,然后给出非线性差分系统平衡点存在的充分条件,最后给出了高阶差分系统平衡点存在的充分条件.To solve equilibrium points is very important to study stability of zero solution to difference systems. In this paper, sufficient and necessary conditions are first obtained to Solve equilibrium points of linear difference systems. Then sufficient conditions are brought forward to find out equilibrium points of nonlinear difference systems. At last, sufficient conditions are presented to find out equilibrium points of vector-valued difference systems.

关 键 词：差分系统 平衡点 零解 非线性 

分 类 号：O175.7[理学—数学]