| 一类高阶奇异边值问题正解存在的充分必要条件 |
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| 引用本文： | 张国伟,孙经先.一类高阶奇异边值问题正解存在的充分必要条件[J].应用泛函分析学报,2004,6(3):250-255. |
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| 作者姓名： | 张国伟 孙经先 |
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| 作者单位： | 1. 东北大学数学系,辽宁,沈阳,110006
2. 江西师范大学数学与信息科学学院,江西,南昌,330027 |
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| 基金项目： | 国家自然科学基金(10371066，10371013) |
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| 摘 要： | 利用上下解方法和极大值原理给出了一类高阶微分方程的奇异边值问题正解存在的充分必要条件．
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| 关 键 词： | 奇异边值问题 充分必要条件 正解 高阶微分方程 上下解方法 极大值原理 存在 |
| 文章编号： | 1009-1327(2004)03-0250-06 |
| 修稿时间： | 2002年12月18 |
A Necessary and Sufficient Condition for the Existence of Positive Solutions of a Class of Singular Boundary Value Problems of Higher Order Differential Equations |
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| ZHANG Guo-wei,SUN Jing-xian.A Necessary and Sufficient Condition for the Existence of Positive Solutions of a Class of Singular Boundary Value Problems of Higher Order Differential Equations[J].Acta Analysis Functionalis Applicata,2004,6(3):250-255. |
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| Authors: | ZHANG Guo-wei SUN Jing-xian |
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| Institution: | ZHANG Guo-wei~1,SUN Jing-xian~21. Department of Mathematics,Northeastern University,Shenyang 250100,China2. School of Informatics and Mathematics,Jiangxi Normal University,Nanchang 330027,China |
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| Abstract: | A necessary and sufficient coindition for the existence of positive solutions of a class of singular boundary value problems of higher order differential equations is given by means of the method of lower and upper solutions with the maximum principle. |
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| Keywords: | singular boundary value problem positive solution lower and upper solutions maximum principle |
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