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.
出处
《上海理工大学学报》
EI
CAS
北大核心
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)
关键词
M-点边值问题
正解
GREEN函数
锥
不动点定理
rn-point boundary value problems
positive solution
Green function
cone
fixed point theorem
