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

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.

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Bibliographic Details
Main Author: Dongming Yan
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/932145
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