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奇异四阶两点边值问题的正解
引用本文:王玉霞,刘希玉.奇异四阶两点边值问题的正解[J].数学进展,2004,33(4):489-496.
作者姓名:王玉霞  刘希玉
作者单位:山东经济学院统计系,济南,山亦,250014
基金项目:This work is supported in part by the NSF(Youth)of Shandong Province and NNSF of China
摘    要:本文研究了四阶奇异边值问题正解的存在性,昕用方法是锥不动点定理,Arzela-Ascoli定理及解的先验估计.

关 键 词:奇异边值问题  正解  不动点  先验估计  

Positive Solutions of Singular Fourth-order Two Point Boundary Value Problem
Abstract.Positive Solutions of Singular Fourth-order Two Point Boundary Value Problem[J].Advances in Mathematics,2004,33(4):489-496.
Authors:Abstract
Abstract:In this paper, the existence of positive solutions of singular boundary value problems of fourth order differential equations is investigated. The methods used here rely on the fixed points theorems on cones, the Arzela-Ascoli theorem and a prior bounds of solutions.
Keywords:singular boundary value problem  positive solutions  fixed points
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