| 一类二阶常微分方程组边值问题正解的存在性 |
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| 引用本文： | 刘锡平,李高尚,贾梅.一类二阶常微分方程组边值问题正解的存在性[J].曲阜师范大学学报,2006,32(4):17-22. |
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| 作者姓名： | 刘锡平 李高尚 贾梅 |
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| 作者单位： | 上海理工大学理学院,上海市200093 |
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| 摘 要： | 利用锥上不动点定理，研究了一类二阶非线性常微分方程组在Sturm-Liouville边值条件下正解的存在性，分别得到了至少一个正解和两个正解存在的充分条件，并给出了证明．
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| 关 键 词： | 边值问题 正解 不动点 锥 |
| 文章编号： | 1001-5337（2006）04-0017-06 |
| 收稿时间： | 2006-01-04 |
| 修稿时间： | 2006-01-04 |
Existence of Positive Solutions to Boundary Value Problems for a Class of Second Order Ordinary Differential Equations |
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| LIU Xi-ping,LI Gao-shang,JIA Mei.Existence of Positive Solutions to Boundary Value Problems for a Class of Second Order Ordinary Differential Equations[J].Journal of Qufu Normal University(Natural Science),2006,32(4):17-22. |
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| Authors: | LIU Xi-ping LI Gao-shang JIA Mei |
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| Institution: | College of Science, University of Shanghai for Science and Technology, 200093, Shanghai, PRC |
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| Abstract: | In this paper, boundary value problems for a class of second order nonlinear ordinary differential equations under Sturm-Liouville conditions are considered, using the fixed point theorem in a cone, the existence and multiplicity of positive solutions are obtained. |
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| Keywords: | boundary value problem positive solutions fixed point cone |
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