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