Multiple positive solutions for a second-order three-point boundary value problem

In this paper, we study the second-order three-point boundary value problemu″(t)+a(t)u′(t)+b(t)u(t)+h(t)f(u)=0,t∈(0,1),u(0)=0,αu(η)=u(1).The existence criteria for multiple positive solutions is obtained by using Krasnoselskii fixed point theorem and Leggett–Williams fixed-point theorem.