| 一个有理差分方程组正解的全局渐近性质 |
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| 引用本文： | 张千宏,杨利辉,廖代喜.一个有理差分方程组正解的全局渐近性质[J].西南农业大学学报,2012,34(7):012-015. |
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| 作者姓名： | 张千宏 杨利辉 廖代喜 |
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| 作者单位： | 贵州财经大学贵州省经济系统仿真重点实验室;贵州财经大学数学与统计学院;湖南城市学院数学系;湖南工学院基础科部 |
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| 基金项目： | 贵州财经大学博士科研启动项目;贵州省科学技术基金(黔科合J字[2011]2096);湖南省教育厅优秀青年项目(10B023) |
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| 摘 要： | 讨论下列有理差分方程组xn+1=A+xnyn-1+yn-2yn+1=B+ynxn-1+xn-2n=0,1,…正解的持久性及正解的全局渐近表现.其中:A,B∈(12,∞),x-i∈(0,∞),y-i∈(0,∞),i=0,1,2.
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| 关 键 词： | 差分方程 持久性 全局渐近表现 |
GlobalAsymptoticBehaviorofPositiveSolutions
totheSystemofRationalDifferenceEquations |
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| ZHANG Qian-hong,YANG Li-hui,LIAO Dai-xi.GlobalAsymptoticBehaviorofPositiveSolutions
totheSystemofRationalDifferenceEquations[J].Journal of Southwest Agricultural University,2012,34(7):012-015. |
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| Authors: | ZHANG Qian-hong YANG Li-hui LIAO Dai-xi |
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| Institution: | 1.Guizhou Key Laboratory of Economics System Simulation,Guizhou University of Finance and Economics,Guiyang 550004,China;2.School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550004,China;3.Department of Mathematics,Hunan City University,Yiyang Hunan 413000,China;4.Department of Basic Science,Hunan Institute of Technology,Hengyang Hunan 421002,China |
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| Abstract: | In this paper,we study the persistence and global asymptotic behavior of the positive solutions for a system of two rational difference equations xn+1=A+xn yn-1+yn-2 yn+1=B+yn xn-1+xn-2 n=0,1,…where A,B∈(1 2,∞),x-i∈(0,∞);y-i∈(0,∞),i=0,1,2. |
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| Keywords: | difference equation persistence global asymptotic behavior |
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