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一类奇异二阶边值问题的正解存在性 被引量:2

The Existence of Positive Solution for a Class of Singular Second-order Boundary Value Problems
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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 mixed monotone operator two-point compression expansion condition cone
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  • 3赵增勤.二阶奇异超线性微分方程正解的存在性和不可比较性[J].应用数学学报,2006,29(5):921-932. 被引量:11
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