| 一类四阶方程边值问题正解的存在性 |
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| 引用本文： | 张福伟,刘进生. 一类四阶方程边值问题正解的存在性[J]. 太原理工大学学报, 2003, 34(5): 633-634 |
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| 作者姓名： | 张福伟 刘进生 |
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| 作者单位： | 太原理工大学,理学院,山西,太原,030024 |
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| 摘 要： | 得到了一类四阶方程边值问题相应的Green函数。从而将该问题转化为相应的Hammerstein型积分方程，并利用锥拉伸与锥压缩不动点定理，证明了它在一定条件下，至少有一个正解。
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| 关 键 词： | 四阶方程 边值问题 正解 |
| 文章编号： | 1007-9432(2003)05-0633-02 |
| 修稿时间： | 2003-02-24 |
The Existence of Positive Solutions on Fourth Order Boundary Value Problem |
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| ZHANG Fu wei,LIU Jin sheng. The Existence of Positive Solutions on Fourth Order Boundary Value Problem[J]. Journal of Taiyuan University of Technology, 2003, 34(5): 633-634 |
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| Authors: | ZHANG Fu wei LIU Jin sheng |
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| Abstract: | In this paper,we obtain the Green function of fourth order boundary value problem.This problem is turned to a class of Hammerstein integral equations.The existence of positive solutions for this problem is proved by using a fixed point theorem in cone. |
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| Keywords: | fourth order equation boundary value problem positive solution |
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