一类奇异非线性三点边值问题的正解

应用锥上的不动点定理，建立了奇异非线性三点边值问题(u″(t)+a(t)f(u)=0,0＜t＜1,αu(0)-βu′(0)=0,u(1)-ku(η)=0)正解的一个存在性定理．这里η∈(0,1)是一个常数，a∈C( (0,1),［0,+∞)),f∈C(［0,+∞),［0,+∞))

Positive Solutions of a Singular Nonlinear Three point Boundary Value Problem

By simple application of the fixed point theorem in cones,an existence theorem  of  positive solutions is established to a singular nonlinear three point boundary  value problem（u″(t)+a(t)f(u)=0,0＜t＜1,αu(0)-βu′(0)=0,u(1)-ku(η)=0．）Where η∈(0,1) is a constant,a∈C((0,1),［0,+∞ )),f∈C(［0,+∞),［0,+∞)).