摘要
首次运用混合单调算子不动点的两点拉伸型条件,讨论了奇异二阶边值问题-u″=a(t)f(u)+λb(t)g(u),αu(0)-βu′(0)=0,γu(1)+δu′(1)=0.在u0≤v0和u0 v0情况下正解的存在性.
In this paper, the existence of positive solution for a class of singular second-order boundary value problems {-u″=a(t)f(u)+λb(t)g(u),;αu(0)-βt′(0)=0,γu(1)+δu′(1)=0 is first established by the two-point expasion condition of fixed point for the mixed monotone operator.
出处
《曲阜师范大学学报(自然科学版)》
CAS
2006年第4期32-36,共5页
Journal of Qufu Normal University(Natural Science)
基金
山东省自然科学基金(Y2003A01)
山东省教育厅科技计划项目(J02P01)
关键词
混合单调算子
两点压缩
拉伸条件
锥
mixed monotone operator
two-point compression
expansion condition
cone