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一类四阶m点边值问题的正解

Multiple positive solutions for a class of fourth-order m-point boundary value problems
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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
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参考文献15

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