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一类四阶次线性奇异边值问题的正解
引用本文:韦忠礼.一类四阶次线性奇异边值问题的正解[J].数学学报,2005,48(4):727-738.
作者姓名:韦忠礼
作者单位:山东建筑工程学院数理系 济南
基金项目:国家自然科学基金资助项目(10471077),山东省自然科学基金资助项目(Y2004A01)
摘    要:本文利用极大值原理和通过构造上下解给出了一类四阶次线性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

Positive Solutions to Singular Boundary Value Problems of a Class of Fourth Order Sublinear Differential Equations
Zhong Li WEI.Positive Solutions to Singular Boundary Value Problems of a Class of Fourth Order Sublinear Differential Equations[J].Acta Mathematica Sinica,2005,48(4):727-738.
Authors:Zhong Li WEI
Institution:Zhong Li WEI Department of Mathematics and Physics, Shandong Institute of Architectural and Engineering, Jinan 250014, P. R. China
Abstract:This paper investigates the existence to positive solutions of singular boundary value problems of a class of fourth order sublinear differential equations. A necessary and sufficient condition for the existence of C2 0,1] positive solutions as well as C3 0,1] positive solutions is given by constructing lower and upper solutions and with the maximal theorem.
Keywords:Singular boundary value problem  Positive solution  Lower and upper solutions
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