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Mathematical Problems in Engineering
Volume 2014, Article ID 406815, 6 pages
http://dx.doi.org/10.1155/2014/406815
Research Article

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

Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China

Received 3 April 2014; Revised 3 September 2014; Accepted 3 September 2014; Published 30 September 2014

Academic Editor: Zhen-Lai Han

Copyright © 2014 Li-Juan Gao and Jian-Ping Sun. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We are concerned with the following third-order three-point boundary value problem: and where and . Although the corresponding Green’s function is sign-changing, we still obtain the existence of at least two positive and decreasing solutions under some suitable conditions on by using the two-fixed-point theorem due to Avery and Henderson.