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四阶奇异边值问题的正解
引用本文:韦忠礼.四阶奇异边值问题的正解[J].数学学报,1999,42(4):715-722.
作者姓名:韦忠礼
作者单位:山东建筑工程学院基础部,济南,250014
基金项目:国家自然科学基金,山东省自然科学基金青年基金
摘    要:本文利用上下解方法和极大值原理给出了四阶微分方程的奇异边值问题有C20,1]和C30,1]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  极大值原理
修稿时间::1998-07-0

Positive Solution of Singular Boundary Value Problems of Fourth Order Differential Equations
Wei Zhongli.Positive Solution of Singular Boundary Value Problems of Fourth Order Differential Equations[J].Acta Mathematica Sinica,1999,42(4):715-722.
Authors:Wei Zhongli
Institution:Wei Zhongli (Department of Tundamental Courses, Shandong Architectural and Civil Engineering Institute, Jinan 250014, P. R. China)
Abstract:This paper investigates the existence of positive solutions of singular boundary value problems of fourth order differential equations. A necessary and sufficientcondition for the existence of C20, 1] positive solutions as well as C30, 1] positive solutions is given by means of the method of lower and upper solutions with the maximumprinciple.
Keywords:Singular boundary value problem  Positive solution  Iower and upper solutions  Maximum principle  
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