廖茂新,赵银凤.一类有理差分方程的全局渐近稳定性[J].南华大学学报(自然科学版),2010,24(3):66~69.[LIAO Mao-xin,ZHAO Yin-feng.The Global Asymptotic Stability of a Class of Rational Difference Equations[J].Journal of University of South China(Science and Technology),2010,24(3):66~69.] |
一类有理差分方程的全局渐近稳定性 |
The Global Asymptotic Stability of a Class of Rational Difference Equations |
投稿时间:2010-07-17 |
DOI: |
中文关键词: 有理差分方程 正平衡解 全局渐近稳定性 |
英文关键词:rational difference equations positive equilibrium point global asymptotic stability |
基金项目:湖南省教育厅基金资助项目(07C639) |
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中文摘要: |
通过研究一类有理差分方程的唯一的正平衡解的性态,进一步证明了此类差分方程的唯一正平衡解是全局渐近稳定的. |
英文摘要: |
In this paper,studying the properties of the positive solution for a class of rational difference equation,we can prove the unique positive equilibrium point of the rational difference equations are globally asymptotically stable further. |
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