| 非线性差分方程的稳定性及周期解的存在性 |
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| 引用本文： | 贾小建.非线性差分方程的稳定性及周期解的存在性[J].太原师范学院学报(自然科学版),2012(3):49-52. |
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| 作者姓名： | 贾小建 |
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| 作者单位： | 山西经贸职业学院 |
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| 摘 要： | 研究了一类高阶非线性差分方程的正平衡解的渐近稳定性,并对其二周期解的存在性进行了探讨.
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| 关 键 词： | 差分方程 渐近稳定性 正平衡解 素二周期解 |
The Stability and the Existence of Periodic Solutions for a Higher Order Nonlinear Difference Equation |
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| Jia Xiaojian.The Stability and the Existence of Periodic Solutions for a Higher Order Nonlinear Difference Equation[J].Journal of Taiyuan Normal University:Natural Science Edition,2012(3):49-52. |
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| Authors: | Jia Xiaojian |
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| Institution: | Jia Xiaojian(Shanxi Institute of Economics and Bussiness,Taiyuan 030024,China) |
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| Abstract: | We investigate the asymptotic stability of the positive equilibrium solutions to a higher order nonlinear difference equation.We also discuss the existence of 2-periodic solutions to the equations. |
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| Keywords: | difference equation asymptotic stability positive equilibrium of equation period-two solutions |
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