负指数Emden Fowler方程奇异边值问题的正解 |
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引用本文: | 韦忠礼.负指数Emden Fowler方程奇异边值问题的正解[J].数学学报,1998,41(3):655-662. |
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作者姓名: | 韦忠礼 |
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作者单位: | 山东建筑工程学院基础部 |
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摘 要: | 本文利用上下解方法和不动点理论给出了负指数Emden Fowler方程奇异边值问题有C[0,1]和C1[0,1]正解存在的充分必要条件.
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关 键 词: | 奇异边值问题,正解,上下解 |
收稿时间: | 1997-08-01 |
Positive Solutions of Singular Boundary Value Problems of Negative Exponent Emden Fowler Equations |
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Institution: | Wei Zhongli ( Department of Fundamental Courses, Shandong Architectural and Civil Engineering Institute, Jinan 250014 ,China ) |
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Abstract: | This paper investigates the existence of positive solutions of singular boundary value problems of negative exponent Emden Fowler equations. A necessary and sufficient condition for the existence of C positive solutions as well as C 1 positive solutions is given by means of the method of lower and upper solutions with the fixed point theorems. |
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Keywords: | Singular boundary value problem Positive solution Lower and upper solutions |
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