应用泛函分析学报2008，Vol.10Issue(1)：15-26,12.
有关Sturm-Liouville条件下的四阶奇异边值问题正解的研究
On Positive Solutions of Singular Fourth-order Sturm-Liouville Boundary value Problem
摘要
Abstract
We established a conclusion of the existence of positive solutions for the fourth-order boundary value problem {u(4)(t)-λh(t)f(t,u(t))=0, t∈(0,1),u(0) = u(1) = 0,au"(0) - βu"(0) = 0, ru"(1) + δu"(1) = 0,where α,β,γ,δ≥0,α+β＞0,δ+γ＞0,p = αγ+γβ+δα＞0,λ is a positive parameter, h(t) ∈C(0,1) and f ∈ C((0,1) × (0, + ∞)). The main approaches for our research are the fixed point index theorem and the approximation theorem of completely continuous operator.关键词
奇异边值问题/不动点指数/正解/锥Key words
singular boundary value problem/ fixed point index/ positive solution/ cone分类
数理科学引用本文复制引用
王瑞,戚仕硕..有关Sturm-Liouville条件下的四阶奇异边值问题正解的研究[J].应用泛函分析学报,2008,10(1):15-26,12.基金项目
China Scholarship Council-henan Programme （）
The Foundation for Key Teachers of Henan Province （）
