| 一类次线性Emden-Fowler方程奇异m-点边值问题的正解 |
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| 引用本文： | 沈文国,宋兰安.一类次线性Emden-Fowler方程奇异m-点边值问题的正解[J].河南大学学报(自然科学版),2007,37(2):123-127. |
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| 作者姓名： | 沈文国 宋兰安 |
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| 作者单位： | 1. 兰州工业高等专科学校,基础学科部,甘肃,兰州,730050
2. 兰州工业高等专科学校,图书馆,甘肃,兰州,730050 |
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| 基金项目： | 甘肃省自然科学基金(3ZS051-A25-047) |
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| 摘 要： | 为了讨论一类Emden-Fowler方程奇异m-点边值问题正解的存在性问题,运用上下解方法、极大值原理和Schauder不动点定理,在次线性条件下,解决了这类奇异边值问题正解的存在性问题,并获得了该类边值问题存在C10,1]正解的充分必要条件.
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| 关 键 词： | 奇异非线性m-点边值问题 上下解 极大值原理 不动点定理 |
| 文章编号： | 1003-4978（2007）02-0123-05 |
| 修稿时间： | 2006-10-16 |
Positive Solutions to Singular Boundary Value Problems of a Class of Second Order M-point Sublinear Emden-Fowler Equations |
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| SHEN Wen-guo,SONG Lan-an.Positive Solutions to Singular Boundary Value Problems of a Class of Second Order M-point Sublinear Emden-Fowler Equations[J].Journal of Henan University(Natural Science),2007,37(2):123-127. |
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| Authors: | SHEN Wen-guo SONG Lan-an |
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| Institution: | The Basic Course Department of Lanzhou Polytechnic College, Lanzhou 730050 ,China The Library of Lanzhou Polytechnic College, Lanzhou 730050, China |
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| Abstract: | In order to discuss the existence of positive solutions to Singular Boundary Value Problems of a Class of Second Order m-point Sublinear Differential Equations,the author continues the research to solve this type of problem by constructing lower and upper solutions and with the maximal theorem and schauder's fixed point principle.A sufficient condition for the existence of C10,1] positive solutions is given to Singular Boundary Value Problems of a Class of Second Order m-point Sublinear Differential Equations. |
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| Keywords: | singular m-point boundary value problem lower and upper solutions maximam principle fixed point |
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