一类有理差分方程全局吸引性  

Global Attractiveness of a Class of Rational Difference Equations

作　　者：谢涛 范逸鹏 郭芳承 XIE Tao;FAN Yi-peng;GUO Fang-cheng(College of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,Hubei;College of Mathematics and Statistics,Longdong University,Qingyang 745000,Gansu)

机构地区：[1]湖北师范大学数学与统计学院,湖北黄石435002 [2]陇东学院数学与统计学院,甘肃庆阳745000

出　　处：《陇东学院学报》2023年第2期1-4,共4页Journal of Longdong University

基　　金：湖北师范大学重点教研项目(2020036)。

摘　　要：研究了一类高阶差分方程具有全局吸引性的一个充分条件,并讨论了一类高阶有理差分方程。x n=x n-s+px n-t+1 p+qx n-s x 1-max{s,t},x 2-max{s,t},…,x 0>0具备全局吸引性时参数p,q所满足的条件。The globalattractivenessof a kind of higher order rational difference equations studied and a class of higher order rational difference equation x n=x n-s+px n-t+1 p+qx n-s x 1-max{s,t},x 2-max{s,t},…,x 0>0 is discussed.Some sufficient conditions for the equation to possess global attractive property are provided.

关 键 词：有理差分方程 全局吸引性 吸引子 

分 类 号：O157[理学—数学]