一类高阶边值问题正解的存在唯一性  

The Existence and Uniqueness of Positive Solution for a Class of Higher Order Boundary Value Problems

作　　者：邓义华[1] 彭白玉[1] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008

出　　处：《江西师范大学学报（自然科学版）》2007年第1期34-37,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：湖南省自然科学基金资助项目(06JJ5001)

摘　　要：研究了一类高阶奇异边值问题的正解.通过对问题进行适当的转化,然后利用μ0凹算子的不动点理论,得到了该奇异边值问题在非线性项满足一定条件时存在唯一正解的充分条件.The positive solutions to a class of higher order singular boundary value problems are studied.By a proper transformation of this problem,the sufficient condition for the existence and uniqueness of positive solution to this class of singular boundary value problems was gained by using the fixed point theorems for u0 concave operators in the case that the nonlinear term satisfies some conditions.

关 键 词：正解 边值问题 μ0凹算子 唯一性 

分 类 号：O175.8[理学—数学]