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| 一类二阶拟线性方程三点边值问题正解的存在性 | |
| 引用本文： | 张福伟,刘进生. 一类二阶拟线性方程三点边值问题正解的存在性[J]. 太原理工大学学报, 2004, 35(2): 244-246 |
| 作者姓名： | 张福伟 刘进生 |
| 作者单位： | 太原理工大学,理学院,山西,太原,030024 |
| 摘 要： | 得到了一类二阶非线性方程三点边值问题相应的Green函数，从而将该问题转化为一类Hammerstein型积分方程，并利用锥拉伸与锥压缩不动点定理，讨论了其正解的存在性，得到了相应的结论。 |
| 关 键 词： | 二阶方程 边值问题 正解 |
| 文章编号： | 1007-9432(2004)02-0244-03 |
| 修稿时间： | 2003-08-29 |
Existence of Positive Solutions for a Class of Nonlinear Second-order Three-point Boundary Value Problem |
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| ZHANG Fu-wei,LIU Jin-sheng. Existence of Positive Solutions for a Class of Nonlinear Second-order Three-point Boundary Value Problem[J]. Journal of Taiyuan University of Technology, 2004, 35(2): 244-246 | |
| Authors: | ZHANG Fu-wei LIU Jin-sheng |
| Abstract: | In this paper, we obtain the Green function of a nonlinear second-order three-point boundary value problem. This problem is turned to a class of Hammerstein integral equations. The existence of the positive solutions for this problem is proved by using the fixed point theorem in cone. |
| Keywords: | second-order equation boundary value problem positive solution |
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