| 一类二阶差分方程渐近稳定性质的证明 |
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| 引用本文： | 全卫贞. 一类二阶差分方程渐近稳定性质的证明[J]. 延边大学学报(自然科学版), 2010, 36(1): 26-28 |
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| 作者姓名： | 全卫贞 |
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| 作者单位： | 湛江师范学院,基础教育学院,广东,湛江524037 |
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| 摘 要： | 根据条件的不同,得到二阶有理差分方程的不同定理,讨论了不同条件下平衡解x-是否为局部渐近稳定、全局渐近稳定、整体吸引子,并给出了与文献[1](Kulenovic M R S,Ladas G.Dynamics of Second Order Rational Difference Equations.Washington:Chap ManHall,2000:93-101.)不同的证明方法.
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| 关 键 词： | 差分方程 平衡解 整体吸引子 局部渐近稳定 |
Proof of Global Asymptotic Stability for a Class of Second Order Difference Equations |
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| QUAN Wei-zhen. Proof of Global Asymptotic Stability for a Class of Second Order Difference Equations[J]. Journal of Yanbian University (Natural Science), 2010, 36(1): 26-28 |
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| Authors: | QUAN Wei-zhen |
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| Affiliation: | QUAN Wei-zhen ( College of Basic Education, Zhanjiang Normal University, Zhanjiang 524037, China ) |
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| Abstract: | According the different conditions, the different theorems of second order difference equations can be acquired. We discuss the equilibrium point x^- is whether locally asymptotic stable or global asymptotic stable or a globally attractor, the proof which is different from the one in the monogragh [1]（Kulenovie M R S, Ladas G. Dynamics of Second Order Rational Difference Equations. Washington： Chap Man ＆ Hall, 2000：93-101. ） is given. |
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| Keywords: | difference equation equilibrium point globally attractor locally asymptotic stability |
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