Positive solutions of fourth-order two point boundary value problems

摘要

In this paper, by using the Krasnoselskii fixed point theorem, we study the existence of one or multiple positive solution of the fourth-order two point boundary value problem y(4)(t)=f(t,y(t),y′′(t)), y(0)=y(1)=y′′(0)=y′′(1)=0. We also give some examples to illustrate our results.