一类奇异三点边值问题连续正解的存在性

Existence of Positive Solutions to Second-order Three-point Singular Boundary Value Problem

借助Green函数,利用上下解方法和Schauder不动点定理,建立一类奇异二阶三点边值问题u″(t)+f(t,u)=0,0<t<1u(0)=0,u(1)-αu(η)=0连续正解存在性的判别方法。

Using upper and lower solution method, and the properties of Green＇ s function, a existence criterion due to Schauder fixed point theorem for next second-order three-point boundary value problem{u″（t）＋f（t,u）=0,0〈t〈1 u（0）=0,u（1）-au（η）=0is established.