四川大学学报(自然科学版)2010,Vol.47Issue(5):977-980,4.DOI:10.3969/j.issn.0490-6756.2010.05.008
一类高阶差分方程的全局渐进稳定性
Global asymptotic stabilty of a general higher order difference equation
摘要
Abstract
The asymptotic stabilty of a general higher order nonlinear rational difference equation is in vestigated. By using the theory of linearized equation and local asymptotic stability of the positive equi librium, and the monotoicity of the function associated with the sequences, the authors verify the global asymptotic stability of the positive equilibrium point. This results extend some known results.关键词
有理差分方程/全局渐进稳定/平衡点Key words
rational difference equation/global asymptotic stalilty/equilibrium piont分类
数理科学引用本文复制引用
张聪,李洪旭..一类高阶差分方程的全局渐进稳定性[J].四川大学学报(自然科学版),2010,47(5):977-980,4.