Existence Results for a Fully Fourth-Order Boundary Value Problem
We discuss the existence of solution for the fully fourth-order boundary value problem u(4)=f(t,u,u′,u′′,u′′′), 0≤t≤1, u(0)=u(1)=u′′(0)=u′′(1)=0. A growth condition on f guaranteeing the existence of solution is presented. The discussion is based on the Fourier analysis method and Leray-Schauder fix...
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| Main Authors: | , |
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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/10.1155/2013/641617 |
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| _version_ | 1832550160345858048 |
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| author | Yongxiang Li Qiuyan Liang |
| author_facet | Yongxiang Li Qiuyan Liang |
| author_sort | Yongxiang Li |
| collection | DOAJ |
| description | We discuss the existence of solution for the fully fourth-order boundary value problem u(4)=f(t,u,u′,u′′,u′′′), 0≤t≤1, u(0)=u(1)=u′′(0)=u′′(1)=0. A growth condition on f guaranteeing the existence of solution is presented. The discussion is based on the Fourier analysis method and Leray-Schauder fixed point theorem. |
| format | Article |
| id | doaj-art-ad06395169324203b5ed2a69aab868ee |
| 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-ad06395169324203b5ed2a69aab868ee2025-02-03T06:07:30ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/641617641617Existence Results for a Fully Fourth-Order Boundary Value ProblemYongxiang Li0Qiuyan Liang1Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaWe discuss the existence of solution for the fully fourth-order boundary value problem u(4)=f(t,u,u′,u′′,u′′′), 0≤t≤1, u(0)=u(1)=u′′(0)=u′′(1)=0. A growth condition on f guaranteeing the existence of solution is presented. The discussion is based on the Fourier analysis method and Leray-Schauder fixed point theorem.http://dx.doi.org/10.1155/2013/641617 |
| spellingShingle | Yongxiang Li Qiuyan Liang Existence Results for a Fully Fourth-Order Boundary Value Problem Journal of Function Spaces and Applications |
| title | Existence Results for a Fully Fourth-Order Boundary Value Problem |
| title_full | Existence Results for a Fully Fourth-Order Boundary Value Problem |
| title_fullStr | Existence Results for a Fully Fourth-Order Boundary Value Problem |
| title_full_unstemmed | Existence Results for a Fully Fourth-Order Boundary Value Problem |
| title_short | Existence Results for a Fully Fourth-Order Boundary Value Problem |
| title_sort | existence results for a fully fourth order boundary value problem |
| url | http://dx.doi.org/10.1155/2013/641617 |
| work_keys_str_mv | AT yongxiangli existenceresultsforafullyfourthorderboundaryvalueproblem AT qiuyanliang existenceresultsforafullyfourthorderboundaryvalueproblem |