一类四阶m点边值问题的正解

摘要

This paper is concerned with a class of fourth-order m-point nonhomogenous boundary value problems. We show that it has at least one or two positive solutions under some assumptions by applying the Guo-Krasnoselskii fixed point theorem and fixed point index theory.%利用Krasnoselskii不动点定理与不动点指数理论,研究了一类四阶m点边值问题正解的存在情况,在适当的条件下,证明了该类边值问题至少存在一个正解或两个正解.