一类差分方程组解的性质研究  

Study on the Properties of Solutions of a Class of Difference Equations

作　　者：胡姗姗 谢涛 HU Shan-shan;XIE Tao(College of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China)

机构地区：[1]湖北师范大学数学与统计学院,湖北黄石435002

出　　处：《数学的实践与认识》2021年第10期256-260,共5页Mathematics in Practice and Theory

基　　金：湖北师范大学博士启动项目(2017049)。

摘　　要：研究了差分方程组{xn+1=a+bx_(n-1)e^(-xn-yn) yn+1=c+dy_(n-1)e^(-xn-yn)系统正解的有界性和持久性,不变区间的存在性,渐近行为以及全局渐近稳定性.In this paper,boundedness and persistence,the existence of the same interval,asymptotic behavior and global asymptotic stability of the positive solutions of a class of systems of difference equation {xn+1=a+bx_(n-1)e^(-xn-yn) yn+1=c+dy_(n-1)e^(-xn-yn) are studied.

关 键 词：差分方程 有界性 持久性 不变区间 全局渐近稳定性 

分 类 号：O241.3[理学—计算数学]