摘要
考虑一类三阶三点边值问题u(t)+a(t)f(u(t))=0,t∈(0,1),u(0)=u′(0)=0,u′(1)-αu′(η)=λ,其中,0<η<1,0<α<1/η,λ>0,f满足超线性或者次线性条件,利用锥上的不动点定理,得到上述边值问题解的存在性结果.结果表明:文中方法进一步改进和推广了吴红萍的结果.
We study the existence of positive solution to the following third-order three-point boundary value problems u″(t)+a(t)f(u(t))=0,t∈(0,1),u(0)=u′(1)-au′(η)=λ,where 0〈η〈1,0〈α〈1/η,λ〉0. By using fixed point theorem in cones,we obtain the existence of the positive solution if / is either superlinear or sublinear. Our results extend and improve some results made by Wu Hongping.
出处
《华侨大学学报(自然科学版)》
CAS
北大核心
2017年第1期127-130,共4页
Journal of Huaqiao University(Natural Science)
基金
国家自然科学基金资助项目(60773128)
关键词
三阶三点边值问题
锥
格林函数
不动点定理
third-order three-point boundary value problem
cone
Green fuction
fixed point theorem