Positive Solutions of a Third-Order Three-Point BVP with Sign-Changing Green’s Function

We are concerned with the following third-order three-point boundary value problem: u′′′t=ft, ut,   t∈0, 1,   u′0=u1=0 and  u′′η-αu′1=0, where α∈0, 1 and η∈(14+α)/(24-3α),1. Although the corresponding Green’s function is sign-changing, we still obtain the existence of at least two positive and decre...

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Bibliographic Details
Main Authors: Li-Juan Gao, Jian-Ping Sun
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2014/406815