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Abstract and Applied Analysis
Volume 2014, Article ID 931217, 8 pages
Research Article

Solvability of a Third-Order Multipoint Boundary Value Problem at Resonance

1School of Mathematics and Statistics Xuzhou, Jiangsu Normal University, Jiangsu 221116, China
2School of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266510, China

Received 10 December 2013; Accepted 13 January 2014; Published 23 February 2014

Academic Editor: Jifeng Chu

Copyright © 2014 Zengji Du et al. 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.


We discuss a third-order multipoint boundary value problem under some appropriate resonance conditions. By using the coincidence degree theory, we establish the existence result of solutions. The emphasis here is that the dimension of the linear operator is equal to two. Our results supplement other results.