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Palamides, A.P. and Smyrlis, G. (2008) Positive Solutions to a Singular Third-Order Three-Point Boundary Value Problem with an Indefinitely Signed Green’s Function. Nonlinear Analysis, 68, 2104-2118.
http://dx.doi.org/10.1016/j.na.2007.01.045

被以下文章引用:

• 标题: 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

  作者: 吴红萍

  关键字: 三阶三点边值问题, 奇异, 正解, 不动点定理Third-Order Three-Point Boundary Value Problem, Singular, Positive Solutions, Fixed-Point Theorem

  期刊名称: 《Advances in Applied Mathematics》, Vol.5 No.1, 2016-02-23

  摘要: 讨论非线性三阶三点边值问题 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.