| 一类二阶边值问题的反对称变号解 |
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| 引用本文： | 石金娥,黄振友.一类二阶边值问题的反对称变号解[J].河南科学,2010,28(1):6-10. |
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| 作者姓名： | 石金娥 黄振友 |
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| 作者单位： | 1. 信息工程大学理学院数理系,郑州,450001
2. 南京理工大学理学院,南京,210094 |
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| 摘 要： | 利用Krasnosel’skii不动点定理及解的延拓技巧研究一类非线性二阶边值问题,得到了该问题具有反对称变号解的定理,应用该定理说明了一个具体的边值问题具有反对称变号解,并对定理进一步推广得到了二阶边值问题具有无穷多个反对称变号解的条件.
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| 关 键 词： | 二阶边值问题 不动点定理 反对称变号解 |
Multiple Anti-Symmetric Sign-Changing Solutions of a Class of Second Order Boundary Value Problems |
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| Shi Jin＇e,Huang Zhenyou.Multiple Anti-Symmetric Sign-Changing Solutions of a Class of Second Order Boundary Value Problems[J].Henan Science,2010,28(1):6-10. |
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| Authors: | Shi Jin＇e Huang Zhenyou |
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| Institution: | 1. Department of Mathematics and Physics, Science College, Information Engineering University, Zhengzhou 450001, China;2. Nanjing Science and Engineering University, Nanjing 210094, China) |
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| Abstract: | By using Krasnosel＇skii fixed point theorem and the extending technic,this paper obtains the existence of muhiple anti-symmetric sign-changing solutions of a class of second order boundary value problems. |
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| Keywords: | second order boundary value problem~ fixed point theorem anti-symmetric sign-changing solution |
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