| 一类二阶差分方程动力学性质的证明 |
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| 引用本文： | 全卫贞.一类二阶差分方程动力学性质的证明[J].海南大学学报(自然科学版),2010,28(3):218-221. |
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| 作者姓名： | 全卫贞 |
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| 作者单位： | 广西大学,数信学院,广西,南宁,530004;湛江师范学院,基础教育学院,广东,湛江,524037 |
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| 基金项目： | 国家自然科学基金项目 |
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| 摘 要： | 由文献5],通过改变条件,可得到一类二阶有理差分方程的不同定理,由此讨论了不同条件下平衡解x是否为全局渐近稳定、局部渐近稳定或不稳定,并给出了不同的证明方法;最后证明了二周期解的存在性问题.
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| 关 键 词： | 差分方程 平衡解 全局渐近稳定 局部渐近稳定 排斥点 鞍点 二周期解 |
Proving of Dynamic Property for a Class of Second Order Difference Equations |
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| QUAN Wei-zhen.Proving of Dynamic Property for a Class of Second Order Difference Equations[J].Natural Science Journal of Hainan University,2010,28(3):218-221. |
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| Authors: | QUAN Wei-zhen |
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| Institution: | QUAN Wei-zhen(1.College of Mathematics and Information Science,Guangxi University,Nanning 530004,China;2.Basic Education College of Zhanjiang Normal University,Zhanjiang 524300,China) |
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| Abstract: | Based on the monograph5],through changing conditions,the different theorems of second order difference equations were obtained,that equilibrium point is whether locally asymptotically stable or globally asymptotically stable or unstable was discussed,and the different methods from the others were put forward.Finally,the existence of a period-two solution was proved. |
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| Keywords: | difference equation equilibrium point globally asymptotically stable locally asymptotically stable repeller saddle point period-two solution |
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