| 非线性差分方程的正周期解 |
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| 引用本文： | 刘兴元. 非线性差分方程的正周期解[J]. 邵阳学院学报(自然科学版), 2012, 9(1): 9-13 |
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| 作者姓名： | 刘兴元 |
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| 作者单位： | 邵阳学院理学与信息科学系,湖南邵阳,422004 |
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| 基金项目： | 湖南省教育厅基金资助项目（08C794） |
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| 摘 要： | 应用Banach空间锥上不动点理论,获得了非线性差分方程x（n＋1）=a（n）x（n）±f（n,x（n））存在正周期解的充分条件.
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| 关 键 词： | 正周期解 差分方程 不动点定理 生长条件 |
Positive Periodic Solutions to Nonlinear Difference Equations |
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| LIU Xing-yuan. Positive Periodic Solutions to Nonlinear Difference Equations[J]. Journal of Shaoyang University(Natural Science Edition), 2012, 9(1): 9-13 |
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| Authors: | LIU Xing-yuan |
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| Affiliation: | LIU Xing-yuan(Department of Science and Information Sciene,Shaoyang University,Shaoyang,Hunan 422004,China) |
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| Abstract: | In this paper,we apply a cone fixed point theorem by Avery ehyan and Henderson to obtain sufficient conditions for the existence of twin positive T-periodic solutions to the nonlinear difference eguation x（n＋1）=a（n）x（n）±f（n,x（n））,An positive periodic solution is given to illustrate the main results. |
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| Keywords: | positive periodic solution difference equation fixed-point theorem growth condition |
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