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| 一类差分方程组的全局渐进稳定性 | |
| 引用本文： | 王琦,秦斌,陈占和,严可颂,YAN Ke-song.一类差分方程组的全局渐进稳定性[J].广西工学院学报,2011,22(2):74-77,85. |
| 作者姓名： | 王琦 秦斌 陈占和 严可颂 YAN Ke-song |
| 作者单位： | 1. 广西工学院信息与计算科学系,广西柳州,545006 2. 广西财经学院数学与统计系,广西南宁,530003 3. 广西大学数学与信息科学学院,广西南宁,530004 4. 柳州师范高等专科学校数学系,广西柳州,545004 |
| 基金项目： | 广西自然科学基金(2010GXNSFA013106)；广西教育厅科学基金 |
| 摘 要： | 通过考查一类差分方程组，研究其正解的全局渐进稳定性，在参数满足不同的条件下，分别得出方程组的正解收敛于唯一正平衡点和方程组存在无界解的结论. |
| 关 键 词： | 有界性 全局渐进稳定性 周期解 |
Global Asymptotic Behaviors of the System of Two Difference Equations |
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| WANG Qi,QIN Bin,CHEN Zhan-he,YAN Ke-song.Global Asymptotic Behaviors of the System of Two Difference Equations[J].Journal of Guangxi University of Technology,2011,22(2):74-77,85. | |
| Authors: | WANG Qi QIN Bin CHEN Zhan-he YAN Ke-song |
| Affiliation: | 1.Department of Information and Computing Science,Guangxi University of Technology,Liuzhou 545006,China; 2.Department of Mathematics and Statistics,Guangxi College of Finance and Economics,Nanning 530003,China; 3.Institute of Mathematics,Guangxi University,Nanning 530004,China; 4.Department of Mathematics,Liuzhou Teachers College,Liuzhou 545004,China) |
| Abstract: | This paper deals with the system of two difference equations and investigates its asymptotic behavior.While a certain condition prevails,every positive solution of the system converges to the unique positive equilibrium solution and the system possesses unbounded solutions respectively. |
| Keywords: | boundedness global asymptotic behavior periodic solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |
