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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/572172 |
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| _version_ | 1832556325926600704 |
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| author | Hua Su Lishan Liu Yonghong Wu |
| author_facet | Hua Su Lishan Liu Yonghong Wu |
| author_sort | Hua Su |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-3bd3af5b1caa415eb8bc4458fd921b0d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3bd3af5b1caa415eb8bc4458fd921b0d2025-02-03T05:45:41ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/572172572172Positive Solutions for Sturm-Liouville Boundary Value Problems in a Banach SpaceHua Su0Lishan Liu1Yonghong Wu2School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan 250014, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaDepartment of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, AustraliaWe 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.http://dx.doi.org/10.1155/2012/572172 |
| spellingShingle | Hua Su Lishan Liu Yonghong Wu Positive Solutions for Sturm-Liouville Boundary Value Problems in a Banach Space Abstract and Applied Analysis |
| 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://dx.doi.org/10.1155/2012/572172 |
| work_keys_str_mv | AT huasu positivesolutionsforsturmliouvilleboundaryvalueproblemsinabanachspace AT lishanliu positivesolutionsforsturmliouvilleboundaryvalueproblemsinabanachspace AT yonghongwu positivesolutionsforsturmliouvilleboundaryvalueproblemsinabanachspace |