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负指数Emden Fowler方程奇异边值问题的正解
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.
作者姓名:韦忠礼
作者单位:山东建筑工程学院基础部
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.

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
Institution:Wei Zhongli ( Department of Fundamental Courses, Shandong Architectural and Civil Engineering Institute, Jinan 250014 ,China )
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.
Keywords:Singular boundary value problem  Positive solution  Lower and upper solutions
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