Existence of 2m-1 Positive Solutions for Sturm-Liouville Boundary Value Problems with Linear Functional Boundary Conditions on the Half-Line
By using the Leggett-Williams fixed theorem, we establish the existence of multiple positive solutions for second-order nonhomogeneous Sturm-Liouville boundary value problems with linear functional boundary conditions. One explicit example with singularity is presented to demonstrate the application...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/653675 |
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| _version_ | 1832558008679268352 |
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| author | Yanmei Sun Zengqin Zhao |
| author_facet | Yanmei Sun Zengqin Zhao |
| author_sort | Yanmei Sun |
| collection | DOAJ |
| description | By using the Leggett-Williams fixed theorem, we establish the existence of multiple positive solutions for second-order nonhomogeneous Sturm-Liouville boundary value problems with linear functional boundary conditions. One explicit example with singularity is presented to demonstrate the application of our main results. |
| format | Article |
| id | doaj-art-00aec6979def48c2bd5402ee0337c220 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-00aec6979def48c2bd5402ee0337c2202025-02-03T01:33:20ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/653675653675Existence of 2m-1 Positive Solutions for Sturm-Liouville Boundary Value Problems with Linear Functional Boundary Conditions on the Half-LineYanmei Sun0Zengqin Zhao1Department of Mathematics and Information Sciences, Weifang University, Shandong, Weifang 261061, ChinaDepartment of Mathematics, Qufu Normal University, Shandong, Qufu 273165, ChinaBy using the Leggett-Williams fixed theorem, we establish the existence of multiple positive solutions for second-order nonhomogeneous Sturm-Liouville boundary value problems with linear functional boundary conditions. One explicit example with singularity is presented to demonstrate the application of our main results.http://dx.doi.org/10.1155/2012/653675 |
| spellingShingle | Yanmei Sun Zengqin Zhao Existence of 2m-1 Positive Solutions for Sturm-Liouville Boundary Value Problems with Linear Functional Boundary Conditions on the Half-Line Journal of Applied Mathematics |
| title | Existence of 2m-1 Positive Solutions for Sturm-Liouville Boundary Value Problems with Linear Functional Boundary Conditions on the Half-Line |
| title_full | Existence of 2m-1 Positive Solutions for Sturm-Liouville Boundary Value Problems with Linear Functional Boundary Conditions on the Half-Line |
| title_fullStr | Existence of 2m-1 Positive Solutions for Sturm-Liouville Boundary Value Problems with Linear Functional Boundary Conditions on the Half-Line |
| title_full_unstemmed | Existence of 2m-1 Positive Solutions for Sturm-Liouville Boundary Value Problems with Linear Functional Boundary Conditions on the Half-Line |
| title_short | Existence of 2m-1 Positive Solutions for Sturm-Liouville Boundary Value Problems with Linear Functional Boundary Conditions on the Half-Line |
| title_sort | existence of 2m 1 positive solutions for sturm liouville boundary value problems with linear functional boundary conditions on the half line |
| url | http://dx.doi.org/10.1155/2012/653675 |
| work_keys_str_mv | AT yanmeisun existenceof2m1positivesolutionsforsturmliouvilleboundaryvalueproblemswithlinearfunctionalboundaryconditionsonthehalfline AT zengqinzhao existenceof2m1positivesolutionsforsturmliouvilleboundaryvalueproblemswithlinearfunctionalboundaryconditionsonthehalfline |