| 一类特殊非线性Neumann边值问题的正解 |
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| 引用本文： | 姚庆六.一类特殊非线性Neumann边值问题的正解[J].重庆大学学报(自然科学版),2007,30(9):93-95,98. |
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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,江苏南京210003 |
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| 摘 要： | 考察了一类特殊非线性Neumann边值问题.该类边值问题没有Green函数,能够通过适当的变换将其转化为一般Neumann边值问题.利用积分方程和锥上的度数理论证明了这类问题的n个正解的存在性,其中n是一个任意的自然数.
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| 关 键 词： | 二阶常微分方程 Neumann边值问题 正解 存在性 多解性 |
| 文章编号： | 1000-582X（2007）09-0093-03 |
| 修稿时间： | 2007-05-17 |
Positive Solutions of a Kind of Special Nonlinear Neumann Boundary Value Problems |
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| YAO Qing-liu.Positive Solutions of a Kind of Special Nonlinear Neumann Boundary Value Problems[J].Journal of Chongqing University(Natural Science Edition),2007,30(9):93-95,98. |
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| Authors: | YAO Qing-liu |
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| Institution: | Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, China |
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| Abstract: | The purpose of this paper is to consider a kind of special nonlinear Neumann boundary value problems. The kind of boundary value problems has not Green function. Using suitable transformation,we can change these problems to general Neumann boundary value problems. By applying integral equation and degree theory on cone,the existence of n positive solutions is proved for the kind of problems,where n is an arbitrary natural number. |
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| Keywords: | second-order ordinary differential equation Neumann boundary value problem positive solution existence multiplicity |
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