| 一类二阶边值问题反对称变号解的存在唯一性 |
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| 引用本文： | 石金娥.一类二阶边值问题反对称变号解的存在唯一性[J].信息工程大学学报,2010,11(3):373-377. |
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| 作者姓名： | 石金娥 |
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| 作者单位： | 信息工程大学理学院,河南郑州,450001 |
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| 摘 要： | 研究了一类二阶边值问题反对称变号解的存在唯一性，利用上下解方法、单调迭代方法及解的延拓技巧研究一类非线性二阶边值问题，得到了该问题反对称变号解的存在唯一性定理，应用该定理说明了一个具体的二阶边值问题具有唯一反对称变号解。
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| 关 键 词： | 二阶边值问题 上下解方法 不动点 反对称变号解 |
Existence and Uniqueness of Anti-Symmetric Sign-Changing Solutions of a Class of Second Order Boundary Value Problems |
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| SHI Jin-e.Existence and Uniqueness of Anti-Symmetric Sign-Changing Solutions of a Class of Second Order Boundary Value Problems[J].Journal of Information Engineering University,2010,11(3):373-377. |
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| Authors: | SHI Jin-e |
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| Affiliation: | SHI Jin-e (Institute of Sciences, Information Engineering University,Zhengzhou 450001, China) |
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| Abstract: | This paper studies the existence and uniqueness of anti-symmetrie sign-changing solutions of a class of second order boundary value problems, by using lower and upper solutions, monotone iterative method and the extending technic. This paper obtains the existence and uniqueness of anti- symmetric sign-changing solutions of a class of second order boundary value problems. |
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| Keywords: | second order boundary value problem lower and upper solutions fixed point anti-symmetric sign-changing solution |
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