Existence of Positive Solutions for a Fourth-Order m-Point Boundary Value Problem
By using Krasnosel’skii’s fixed point theorem and the fixed point index theorem in the special function space, we obtain some sufficient conditions for the existence of positive solutions of fourth-order boundary value problem with multipoint boundary conditions. Applications of our results to some...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/928105 |
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| _version_ | 1850167840224575488 |
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| author | Liu Yang Chunfang Shen |
| author_facet | Liu Yang Chunfang Shen |
| author_sort | Liu Yang |
| collection | DOAJ |
| description | By using Krasnosel’skii’s fixed point theorem and the fixed point index theorem in the special function space, we obtain some sufficient conditions for the existence of positive solutions of fourth-order boundary value problem with multipoint boundary conditions. Applications of our results to some special problems are also discussed. |
| format | Article |
| id | doaj-art-dfe4ecc4a0f34fa181ab92b32b78adc8 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-dfe4ecc4a0f34fa181ab92b32b78adc82025-08-20T02:21:07ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/928105928105Existence of Positive Solutions for a Fourth-Order m-Point Boundary Value ProblemLiu Yang0Chunfang Shen1Department of Mathematics, Hefei Normal University, Hefei, Anhui 230061, ChinaDepartment of Mathematics, Hefei Normal University, Hefei, Anhui 230061, ChinaBy using Krasnosel’skii’s fixed point theorem and the fixed point index theorem in the special function space, we obtain some sufficient conditions for the existence of positive solutions of fourth-order boundary value problem with multipoint boundary conditions. Applications of our results to some special problems are also discussed.http://dx.doi.org/10.1155/2015/928105 |
| spellingShingle | Liu Yang Chunfang Shen Existence of Positive Solutions for a Fourth-Order m-Point Boundary Value Problem Journal of Function Spaces |
| title | Existence of Positive Solutions for a Fourth-Order m-Point Boundary Value Problem |
| title_full | Existence of Positive Solutions for a Fourth-Order m-Point Boundary Value Problem |
| title_fullStr | Existence of Positive Solutions for a Fourth-Order m-Point Boundary Value Problem |
| title_full_unstemmed | Existence of Positive Solutions for a Fourth-Order m-Point Boundary Value Problem |
| title_short | Existence of Positive Solutions for a Fourth-Order m-Point Boundary Value Problem |
| title_sort | existence of positive solutions for a fourth order m point boundary value problem |
| url | http://dx.doi.org/10.1155/2015/928105 |
| work_keys_str_mv | AT liuyang existenceofpositivesolutionsforafourthordermpointboundaryvalueproblem AT chunfangshen existenceofpositivesolutionsforafourthordermpointboundaryvalueproblem |