一类m-点边值问题正解的存在性  

Existence of positive solutions of a kind of m-points boundary value problems

作　　者：王河堂[1] 刘锡平[1] 宗良[1] 戴忠华[1] 

机构地区：[1]上海理工大学 理学院,上海200093

出　　处：《上海理工大学学报》2008年第1期7-10,共4页Journal of University of Shanghai For Science and Technology

基　　金：上海市教委自然科学基金(05EZ52)

摘　　要：通过把微分方程变为积分方程,构造一个积分算子,最后转化为算子不动点问题,并利用锥拉伸锥压缩不动点定理,研究了一类二阶非线性常微分方程的m-点边值问题正解的存在性,得到了正解存在的充分条件.The problem is transformed into a fixed point problem of an operator by changing the differential equation into an integral equation and constructing an integral operator. The positive solutions of m - points boundary value problems of two order ordinary differential equations are studied. By using the fixed point theorem of cone expansion-compression type, the existence of positive solution is obtained.

关 键 词：M-点边值问题 正解 GREEN函数 锥 不动点定理 

分 类 号：O175.8[理学—数学]