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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| 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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| _version_ | 1832563916201263104 |
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| author | Dongming Yan |
| author_facet | Dongming Yan |
| author_sort | Dongming Yan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-6b1bf09372ee489cae0f3f96275ace9e |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-6b1bf09372ee489cae0f3f96275ace9e2025-02-03T01:12:19ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/932145932145On Linear and Nonlinear Fourth-Order Eigenvalue Problems with Nonlocal Boundary ConditionDongming Yan0School of Mathematics and Statistics, Zhejiang University of Finance & Economics, Hangzhou 310018, ChinaWe 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.http://dx.doi.org/10.1155/2013/932145 |
| spellingShingle | Dongming Yan On Linear and Nonlinear Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition Journal of Function Spaces and Applications |
| title | On Linear and Nonlinear Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition |
| title_full | On Linear and Nonlinear Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition |
| title_fullStr | On Linear and Nonlinear Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition |
| title_full_unstemmed | On Linear and Nonlinear Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition |
| title_short | On Linear and Nonlinear Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition |
| title_sort | on linear and nonlinear fourth order eigenvalue problems with nonlocal boundary condition |
| url | http://dx.doi.org/10.1155/2013/932145 |
| work_keys_str_mv | AT dongmingyan onlinearandnonlinearfourthordereigenvalueproblemswithnonlocalboundarycondition |