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Journal of Function Spaces and Applications
Volume 2013, Article ID 932145, 10 pages
Research Article

On Linear and Nonlinear Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition

School of Mathematics and Statistics, Zhejiang University of Finance & Economics, Hangzhou 310018, China

Received 18 December 2012; Revised 13 February 2013; Accepted 15 February 2013

Academic Editor: Feliz Minhós

Copyright © 2013 Dongming Yan. 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 determine the principal eigenvalue of the linear problem ,   , , where and . Moreover, we investigate the existence of positive solutions for the corresponding nonlinear problem. The proofs of our main results are based upon the Krein-Rutman theorem and fixed point index theory.