| 一类m-点边值问题正解的存在性 |
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| 引用本文： | 王河堂,刘锡平,宗良,戴忠华.一类m-点边值问题正解的存在性[J].上海理工大学学报,2008,30(1):7-10. |
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| 作者姓名： | 王河堂 刘锡平 宗良 戴忠华 |
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| 作者单位： | 上海理工大学,理学院,上海,200093 |
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| 摘 要： | 通过把微分方程变为积分方程,构造一个积分算子,最后转化为算子不动点问题,并利用锥拉伸锥压缩不动点定理,研究了一类二阶非线性常微分方程的m-点边值问题正解的存在性,得到了正解存在的充分条件.
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| 关 键 词： | m-点边值问题 正解 Green函数 锥 不动点定理 |
| 文章编号： | 1007-6735(2008)01-0007-04 |
| 修稿时间： | 2007年1月17日 |
Existence of positive solutions of a kind of m-points boundary value problems |
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| WANG He-tang,LIU Xi-ping,ZONG Liang,DAI Zhong-hua.Existence of positive solutions of a kind of m-points boundary value problems[J].Journal of University of Shanghai For Science and Technology,2008,30(1):7-10. |
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| Authors: | WANG He-tang LIU Xi-ping ZONG Liang DAI Zhong-hua |
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| Abstract: | The problem is transformed into a fixed point problem of an operator by changing the differential equation into an integral equation and constructing an integral operator.The postive solutions of m-points boundary value problems of two order ordinary differential equations are studied.By using the fixed point theo- rem of cone expansion-compression type,the existence of positive solution is obtained. |
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| Keywords: | m-point boundary value problems positive solution Green function cone fixed point theorem |
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