摘要
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.
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.
出处
《南京信息工程大学学报(自然科学版)》
CAS
2011年第6期566-570,共5页
Journal of Nanjing University of Information Science & Technology(Natural Science Edition)
关键词
四阶边值问题
存在性
正解
不动点定理
fourth-order boundary value problem
existence
positive solutions
fixed point theorem