| 左端刚性固定、右端简单支撑的奇异梁方程n个正解的存在性 |
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| 引用本文： | 姚庆六.左端刚性固定、右端简单支撑的奇异梁方程n个正解的存在性[J].郑州大学学报(理学版),2008,40(3). |
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| 作者姓名： | 姚庆六 |
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| 作者单位： | 南京财经大学应用数学系,南京,210003 |
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| 摘 要： | 利用锥上的Krasnosel'skii不动点定理,对于一个具有奇异非线性项的四阶两点边值问题建立了n个正解的存在性.在力学上该问题描述了左端刚性固定、右端简单支撑的弹性粱的挠曲.
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| 关 键 词： | 常微分方程 边值问题 奇异性 正解 存在性 多解性 |
Existence of n Positive Solutions to a Singular Beam Equation Rigidly Fixed at Left and Simply Supported at Right |
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| YAO Qing-liu.Existence of n Positive Solutions to a Singular Beam Equation Rigidly Fixed at Left and Simply Supported at Right[J].Journal of Zhengzhou University:Natural Science Edition,2008,40(3). |
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| Authors: | YAO Qing-liu |
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| Abstract: | By applying the Krasnosel'skii fixed point theorem on the cone,the existence of n positive solutions is established for a nonlinear fourth-order two-point boundary value problem with singular nonlinearity.In mechanics,the Droblem describes the deflection of an elastic beam rigidly fixed at left and simply supported at right. |
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| Keywords: | ordinary differential equation boundary value problem singularity positive solution existence multi plicity |
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