摘要
应用不动点指数方法,在与相应线性算子第一特征值有关的条件下,得到一类奇异四点边值问题正解的存在性结果,本质地推广和改进了已有文献中的主要结论.特别地,给出了边值问题Green函数的精确表达式.
The existence of positive solutions for a class of second-order four-point boundary value problem is obtained by applying the fixed point index theory and the associated Green＇s function. In particular, we obtain the explicit formula of Green function of the problem, which makes the problem simpler.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第11期233-237,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金(10671167)
关键词
边值问题
不动点指数
正解
锥
Second-order singular equation
four-point boundary value problem
Positivesolution
Cone
Fixed point index
