Positive solutions for Sturm-Liouville boundary value problems in a Banach space
We consider the existence of single and multiple positive solutions for a second-order Sturm-Liouville boundary value problem in a Banach space. The sufficient condition for the existence of positive solution is obtained by the fixed point theorem of strict set contraction operators in the frame of...
| Main Authors: | , , |
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| Format: | Journal Article |
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Hindawi Publishing Corporation
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/46430 |
| _version_ | 1848757554631409664 |
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| author | Su, H. Liu, L. Wu, Yong Hong |
| author_facet | Su, H. Liu, L. Wu, Yong Hong |
| author_sort | Su, H. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We consider the existence of single and multiple positive solutions for a second-order Sturm-Liouville boundary value problem in a Banach space. The sufficient condition for the existence of positive solution is obtained by the fixed point theorem of strict set contraction operators in the frame of the ODE technique. Our results significantly extend and improve many known results including singular and nonsingular cases. |
| first_indexed | 2025-11-14T09:29:57Z |
| format | Journal Article |
| id | curtin-20.500.11937-46430 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:29:57Z |
| publishDate | 2012 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-464302017-09-13T16:05:29Z Positive solutions for Sturm-Liouville boundary value problems in a Banach space Su, H. Liu, L. Wu, Yong Hong We consider the existence of single and multiple positive solutions for a second-order Sturm-Liouville boundary value problem in a Banach space. The sufficient condition for the existence of positive solution is obtained by the fixed point theorem of strict set contraction operators in the frame of the ODE technique. Our results significantly extend and improve many known results including singular and nonsingular cases. 2012 Journal Article http://hdl.handle.net/20.500.11937/46430 10.1155/2012/572172 Hindawi Publishing Corporation fulltext |
| spellingShingle | Su, H. Liu, L. Wu, Yong Hong Positive solutions for Sturm-Liouville boundary value problems in a Banach space |
| title | Positive solutions for Sturm-Liouville boundary value problems in a Banach space |
| title_full | Positive solutions for Sturm-Liouville boundary value problems in a Banach space |
| title_fullStr | Positive solutions for Sturm-Liouville boundary value problems in a Banach space |
| title_full_unstemmed | Positive solutions for Sturm-Liouville boundary value problems in a Banach space |
| title_short | Positive solutions for Sturm-Liouville boundary value problems in a Banach space |
| title_sort | positive solutions for sturm-liouville boundary value problems in a banach space |
| url | http://hdl.handle.net/20.500.11937/46430 |