一类高阶奇异边值问题的正解  

Positive Solutions of a Class of Singular Boundary Value Problems of Higher Order Differential Equations

作　　者：杨小京[1] 

机构地区：[1]清华大学数学系,北京100084

出　　处：《数学学报（中文版）》2002年第2期379-382,共4页Acta Mathematica Sinica：Chinese Series

基　　金：中国博士后科学基全资助项目

摘　　要：本文利用上下解方法给出一类高阶微分方程的奇异边值问题正解的充分条件，改进并推广了韦忠礼在文献［１］中的结果，并指出其证明的漏洞．In this paper, we obtain sufficient conditions for the existence of positive solutions of a class of singular boundary value problems of higher order differential equations. Which improves and generalizes the results obtained in Wei Z. L[1], at the same time, we point out a mistake in the proof of the theorems in [1].

关 键 词：奇异边值问题 正解 上下解 高阶微分方程 充分条件 

分 类 号：O175.8[理学—数学]