Solvability for a Fractional Order Three-Point Boundary Value System at Resonance
A class of fractional order three-point boundary value system with resonance is investigated in this paper. Using some techniques of inequalities, a completely new method is incorporated. We transform the problem into an integral equation with a pair of undetermined parameters. The topological degre...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/419514 |
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| _version_ | 1832568416435699712 |
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| author | Zigen Ouyang Hongliang Liu |
| author_facet | Zigen Ouyang Hongliang Liu |
| author_sort | Zigen Ouyang |
| collection | DOAJ |
| description | A class of fractional order three-point boundary value system with resonance is investigated in this paper. Using some techniques of inequalities, a completely new method is incorporated. We transform the problem into an integral equation with a pair of undetermined parameters. The topological degree theory is applied to determine the particular value of the parameters so that the system has a solution. |
| format | Article |
| id | doaj-art-272c301cb66445f0b6c512a899d3f2e9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-272c301cb66445f0b6c512a899d3f2e92025-02-03T00:59:07ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/419514419514Solvability for a Fractional Order Three-Point Boundary Value System at ResonanceZigen Ouyang0Hongliang Liu1School of Mathematics and Physics, University of South China, Hengyang 421001, ChinaSchool of Mathematics and Physics, University of South China, Hengyang 421001, ChinaA class of fractional order three-point boundary value system with resonance is investigated in this paper. Using some techniques of inequalities, a completely new method is incorporated. We transform the problem into an integral equation with a pair of undetermined parameters. The topological degree theory is applied to determine the particular value of the parameters so that the system has a solution.http://dx.doi.org/10.1155/2014/419514 |
| spellingShingle | Zigen Ouyang Hongliang Liu Solvability for a Fractional Order Three-Point Boundary Value System at Resonance Abstract and Applied Analysis |
| title | Solvability for a Fractional Order Three-Point Boundary Value System at Resonance |
| title_full | Solvability for a Fractional Order Three-Point Boundary Value System at Resonance |
| title_fullStr | Solvability for a Fractional Order Three-Point Boundary Value System at Resonance |
| title_full_unstemmed | Solvability for a Fractional Order Three-Point Boundary Value System at Resonance |
| title_short | Solvability for a Fractional Order Three-Point Boundary Value System at Resonance |
| title_sort | solvability for a fractional order three point boundary value system at resonance |
| url | http://dx.doi.org/10.1155/2014/419514 |
| work_keys_str_mv | AT zigenouyang solvabilityforafractionalorderthreepointboundaryvaluesystematresonance AT hongliangliu solvabilityforafractionalorderthreepointboundaryvaluesystematresonance |