| 负指数的脉冲EMDEN—FOWLER方程奇异边值问题的正解 |
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| 引用本文： | 代丽美. 负指数的脉冲EMDEN—FOWLER方程奇异边值问题的正解[J]. 应用泛函分析学报, 2007, 9(1): 40-55 |
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| 作者姓名： | 代丽美 |
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| 作者单位： | 北京师范大学数学科学学院,北京100875 |
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| 基金项目： | This work is partially supported by the National Science Foundation of China （10371011） and the basic item of Chinese Ministry of Education （104015） Acknowledgements The author wish to thank Professor Yan Baoqang for his guidance and encouragement. |
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| 摘 要： | 利用不动点定理得到了脉冲奇异混合边值问题的上下解方法，并且利用此方法得到了负指数的脉冲Emden—Fowler方程奇异混合边值问题正解存在的充分必要条件．
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| 关 键 词： | 脉冲奇异边值问题 正解 上下解 |
| 文章编号： | 1009-1327（2007）01-0040-16 |
| 修稿时间： | 2006-03-22 |
Positive Solutions of Singular Impulsive Emden-Fowler Boundary Value Problem with Negative Exponent |
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| DAI Li-mei. Positive Solutions of Singular Impulsive Emden-Fowler Boundary Value Problem with Negative Exponent[J]. Acta Analysis Functionalis Applicata, 2007, 9(1): 40-55 |
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| Authors: | DAI Li-mei |
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| Abstract: | In this paper, we first give the method of lower and upper solutions for the existence of positive solutions to a singular impulsive boundary value problem by means of the fixed point theorem, then obtain a necessary and sufficient condition for the existence of positive solution of Emden-Fowler singular impulsive boundary value problem by using the method of lower and upper solutions. |
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| Keywords: | singular impulsive boundary value problem lower and upper solution positive solution |
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