非线性四阶两点边值问题的单调迭代方法

摘要

In this paper the existence of solution for fourth-order two point boundary value problem{x(4)(t)=f(t,x(t)), 0＜t＜1 x(0)=x(1)=x″(0)=x″(1)=0 was obtained by using the monotone iterative technique and the method of Lower and upper solutions, where f:[0,1]×R→R is continuous function.%本文通过单调迭代方法和上下解方法研究了非线性四阶两点边值问题{x(4)(t)=f(t,x(t)),0＜t＜1 x(0)=x(1)=x″(0)=x″(1)=0解的存在性,其中f:[0,1]×R→R为连续函数.