| 一类四阶周期边值问题的正解存在性和多重性 |
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| 引用本文： | 刘仁义.一类四阶周期边值问题的正解存在性和多重性[J].兰州大学学报(自然科学版),2005,41(1):112-114. |
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| 作者姓名： | 刘仁义 |
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| 作者单位： | 陇东学院,数学系,甘肃,庆阳,745000 |
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| 摘 要： | 研究一类四阶常微分方程周期边值问题,利用锥上的不动点定理,在一定条件下给出了正解及任意多个正解的存在性.
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| 关 键 词： | 四阶周期边值问题 Green函数 不动点 正解 |
| 文章编号： | 0455-2059(2005)01-0112-03 |
The existence and multiplicity of positive solutions to fourth-order periodic boundary value problems |
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| LIU Ren-yi.The existence and multiplicity of positive solutions to fourth-order periodic boundary value problems[J].Journal of Lanzhou University(Natural Science),2005,41(1):112-114. |
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| Authors: | LIU Ren-yi |
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| Abstract: | This paper provides the existence and multiplicity of the positive solutions to the fourth-order periodic boundary value problems under certain conditions by applying the theorem of fixed points on the cone. |
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| Keywords: | fourth-order PBVP green's function fixed point positive solution |
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