摘要
在涉及相应线性微分方程第一特征值的条件下,通过构造一个适当的积分算子和特殊的锥,利用锥上的不动点理论,研究了一类奇异积分边值问题,允许非线性项在端点处具有奇性的情况下,得到了其正解的存在性。
By constructing an available integral operator and a special cone and using the fixed point theorems of cones, the existence of positive solutions for a class of singular boundary value problems with integral boundary conditions is investigated under some conditions concerning the first eigenvalue corresponding to the relevant linear problems, where the nonlinearity may be singular on boundary. The result presented here improves some recent results.
出处
《咸阳师范学院学报》
2016年第2期49-52,共4页
Journal of Xianyang Normal University
基金
数学天元基金项目(11326100)
中央高校基本科研业务费资助项目(31920130010)
关键词
正解
奇异边值问题
锥
不动点定理
positive solution
singular boundary value problem
cones
fixed point theorem
