一类非线性三点边值问题的2个正解

Two Positive Solutions for a Nonlinear Three-Point Boundary Value Problem

应用锥上的不动点定理,建立了非线性三点边值问题u″+f(t,u)=0,αu(0)-βu′(0)=0,u(1)-ku(η)=02个正解的存在性定理,其中η∈(0,1)是一个常数.

Using the Fixed Point theorems in cones,the existence of positive solutions for nonlinear three-point boundary value problem is established：u″＋f（t,u）=0,αu（0）-βu＇（0）=0,u（1）-ku（η）=0,u（1）-ku（η）=0,where η∈（0,1） is a constant.The sufficient conditions of at least two positive solutions for this problem are obtained.