| 半正二阶三点边值问题的解和正解 |
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| 引用本文： | 姚庆六.半正二阶三点边值问题的解和正解[J].应用数学学报,2007,30(2):209-217. |
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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： | 考察了非线性二阶三点边值问题的n个解和正解的存在性,其中允许非线性项有一个负的下界并且n是一个任意的自然数．主要结论表明该问题可以具有n个解或者正解,只要非线性项在某些有界集上的“高度”是适当的．
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| 关 键 词： | 二阶三点边值问题 半正非线性 解和正解 存在性 多解性 |
| 修稿时间： | 2004-09-302006-06-10 |
Solutions and Positive Solutions of Semipositone Second-order Three-point Boundary Value Problems |
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| YAO QINGLIU.Solutions and Positive Solutions of Semipositone Second-order Three-point Boundary Value Problems[J].Acta Mathematicae Applicatae Sinica,2007,30(2):209-217. |
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| Authors: | YAO QINGLIU |
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| Institution: | Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003 |
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| Abstract: | |
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| Keywords: | second-order three-point boundary value problem semipositone nonlinearity solution and positive solution existence multiplicity |
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