某类差分方程零解的全局吸引性及其应用  

GLOBAL ATTRACTIVITY OF CERTAIN CLASS OF DIFFERENCE EQUATIONS AND ITS APPLICATIONS

作　　者：刘玉记[1] 

机构地区：[1]岳阳师范学院数学系,湖南414000

出　　处：《数学杂志》2003年第1期85-90,共6页Journal of Mathematics

基　　金：湖南省教委科研基金资助项目(99C12)

摘　　要：研究差分方程 的全局吸引性。用二次选代法导出方程的零解全局吸引的—族 新的充分条件,将结果应用于Logistic差分方程及Michelis-Menten差分模型,所得推论改进了已有结果.Consider the difference equation , by a new method, the sufficient conditions that guarantee every solution of the equation to convergence to zero were to obtained. The results were applied to the logistic model and Micheals-Menten model, some known results were improved.

关 键 词：时滞差分方程 全局吸引性 充分条件 LOGISTIC模型 Michelis-Menten模型 

分 类 号：O175[理学—数学]