一類奇異三階三點(diǎn)邊值問題的正解

王珍 朱少平

摘 要 利用krasnoelskii錐拉伸與壓縮不動點(diǎn)定理考察了一類奇異非線性三階三點(diǎn)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(gè)正解的結(jié)果。

關(guān)鍵詞 三階三點(diǎn)邊值問題 奇異 正解 錐 不動點(diǎn)定理

中圖分類號：O175 文獻(xiàn)標(biāo)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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