| 一类四阶差分方程多点边值问题的正解 |
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| 引用本文： | 徐有基.一类四阶差分方程多点边值问题的正解[J].纯粹数学与应用数学,2010,26(4):637-642. |
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| 作者姓名： | 徐有基 |
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| 作者单位： | 西北师范大学数学与信息科学学院,甘肃,兰州,730070 |
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| 基金项目： | 西北师范大学科技创新工程，甘肃省教育厅基金 |
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| 摘 要： | 为解决多点支撑弹性梁的正解的存在性问题,运用锥上不动点指数理论,研究一类含参四阶差分方程多点边值问题.获得了当参数在一定范围内取值时正解的存在性结果,得到了正解存在的充分条件.
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| 关 键 词： | 四阶 差分方程 多点 边值问题 正解 |
Positive solutions for forth order difference equation boundary value problem |
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| XU You-ji.Positive solutions for forth order difference equation boundary value problem[J].Pure and Applied Mathematics,2010,26(4):637-642. |
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| Authors: | XU You-ji |
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| Institution: | XU You-ji(College of Mathematics , Information Science,Northwest Normal University,Lanzhou 730070,China) |
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| Abstract: | In order to analyze the existence of positive solution for elastic beam with multiple point supports,we study multi-point boundary value problem of fourth order difference equations with parameter by using theory of index of fixed point in cone.The existence of positive solution are obtained when the parameter belongs to appropriate intervals.Therefore,we obtain the sufficient conditions for existence of positive solution. |
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| Keywords: | forth order di？erence equation multiple points boundary value problem positive solution |
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