# 一类奇异三阶三点边值问题正解的存在性Positive Solutions for a Third-Order Three-Point Singular Boundary Value Problem

DOI: 10.12677/AAM.2016.51004, PDF, HTML, XML, 下载: 1,467  浏览: 3,268  国家自然科学基金支持

Abstract: 其中 ，非线性项允许在t=0, t=1及u=0 处奇异，利用锥上的不动点定理在较弱的条件下得到了上述边值问题至少存在一个、两个、n个正解的存在性结果。 This paper is concerned with the following nonlinear third-order three-point boundary value problem where , the nonlinear term may be singular at t=0, t=1  and u=0 . By using fixed- point theorem in cone, the existence of one or two or n positive solutions is obtained with the weaker conditions.

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