奇异四阶两点边值问题的正解(英文)  

Positive Solutions of Singular Fourth-order Two Point Boundary Value Problem

作　　者：王玉霞[1] 刘希玉[1] 

机构地区：[1]山东经济学院统计系,济南山东250014

出　　处：《数学进展》2004年第4期489-496,共8页Advances in Mathematics（China）

基　　金：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,所用方法是锥不动点定理,Arzela-Ascoli 定理及解的先验估计.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.

关 键 词：奇异边值问题 正解 不动点 先验估计 锥 

分 类 号：O175.8[理学—数学]