华侨大学学报（自然科学版）2017，Vol.38Issue(1)：127-130,4.DOI:10.11830/ISSN.1000-5013.201701025
一类三阶三点边值问题正解的存在性
Existence of Positive Solution for Third-Order Three-Point Boundary Value Problems
摘要
Abstract
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′(0 )= 0 ,u′(1 )-αu′(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 f is either superlinear or sublinear.Our results extend and improve some results made by Wu Hongping.关键词
三阶三点边值问题/锥/格林函数/不动点定理Key words
third-order three-point boundary value problem/cone/Green fuction/fixed point theorem分类
数理科学引用本文复制引用
程德胜,武晨..一类三阶三点边值问题正解的存在性[J].华侨大学学报（自然科学版）,2017,38(1):127-130,4.基金项目
国家自然科学基金资助项目 （）
