王珍 朱少平

摘 要 利用krasnoelskii錐拉伸與壓縮不動點定理考察了一類奇異非線性三階三點邊值問題的正解的存在性，得到了此類邊值問題在奇異條件下至少存在一個正解的結(jié)果。

關(guān)鍵詞 三階三點邊值問題 奇異 正解 錐 不動點定理

中圖分類號：O175 文獻標識碼：A DOI：10.16400/j.cnki.kjdks.2019.03.026

Abstract This paper is concerned with the existence of a positive solution of singular third-order three-point boundary value problem by using the Krasnoselskii's fixed point theorem of cone expansion-compression type， and established existence results for at least one positive solution for this class of problem when the nonlinear term is allowed to be singular.

Keywords third-order three-point boundary value problem； singular； positive solution； cone； fixed point theorem

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