次线性Emden-Fowler方程两点边值问题的C[0,1]正解的唯一性  

The uniqueness of the C[0,1] positive solution of the two-point boundary value problem of the sublinear Emden-Fowler equations

作　　者：刘炳[1] 闫宝强[1] 

机构地区：[1]山东师范大学数学科学学院,山东济南250014

出　　处：《山东科学》2012年第2期8-11,共4页Shandong Science

基　　金：国家自然科学基金(10871120);山东省教育厅基金(J07WH08)

摘　　要：次线性Emden-Fowler方程两点边值问题在很多文献中用到,但对于该类问题的C[0,1]正解的唯一性还没有研究。本文利用单调迭代方法,对这一问题进行了研究,得出了该类方程两点边值问题的C[0,1]正解是存在且唯一的。Two-point boundary value problem of the sublinear Emden-Fowler equations has been addressed in many literatures, but the uniqueness of the C[0,1 ] positive solution has not been investigated. We employ monotone iterative method to address such problem and derive the uniqueness of the C[ 0,1 ] positive solution of the boundary value problem of such equations.

关 键 词：Emden—Fowler方程 正解 唯一性 

分 类 号：O175.8[理学—数学]