| ATTRACTIVE BEHAVIOR OF SOLUTIONS OF A NONLINEAR HIGHER ORDER DIFFERENCE EQUATIONS |
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| 作者姓名： | Han Zhenlai Sun Shurong Shi Bao |
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| 作者单位： | Institute of Applied Math.，Naval Aeronautical Engineering Institute，Yantai 264001; School of Math.，Shandong University，Jinan 250100; School of Science，Jinan University，Jinan 250022 |
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| 基金项目： | This research is supported by the National Natural Science Foundation of China(10471077)
Shandong Research Funds for Young Scientists (03BS094)
Natural Science Foundation of Educational Department of Shandong Province(03P51)(J04A60). |
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| 摘 要： | In this paper, we study the global attractivity of solutions of higher order nonlinear difference equation xn+1=f(xn+1-1,xn+1-2,…,xn,xn-1,)n=0,1,2,…, where f is a continuous, positive, decreasing function on 0,+∞)1+1\{(0,…,0)}. We extend some known global behavior of the solutions of nonlinear higher order difference equations.
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| 关 键 词： | 非线性高阶微分方程 正平衡 离散系统 吸引子 |
ATTRACTIVE BEHAVIOR OF SOLUTIONS OF A NONLINEAR HIGHER ORDER DIFFERENCE EQUATIONS |
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| Han Zhenlai Sun Shurong Shi Bao.ATTRACTIVE BEHAVIOR OF SOLUTIONS OF A NONLINEAR HIGHER ORDER DIFFERENCE EQUATIONS[J].微分方程年刊(英文版),2005,21(4):556-561. |
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| Authors: | Han Zhenlai Sun Shurong Shi Bao |
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| Institution: | [1]Institute of Applied Math., Naval Aeronautical Engineerin9 Institute, Yantai 264001 [2]School of Math., Shandong University, Jinan 250100 [3]School of Science, Jinan University, Jinan 250022 |
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| Abstract: | |
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| Keywords: | positive equilibrium attractor global attractivity |
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