Multiple nonnegative solutions for second-order boundary-value problems with sign-changing nonlinearities
In this paper, we study the existence of multiple nonnegative solutions for second-order boundary-value problems of differential equations with sign-changing nonlinearities. Our main tools are the fixed-point theorem in double cones and the Leggett-Williams fixed point theorem. We present also t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Texas State University
2009-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2009/66/abstr.html |
| _version_ | 1811283859635961856 |
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| author | Shouliang Xi Mei Jia Huipeng Ji |
| author_facet | Shouliang Xi Mei Jia Huipeng Ji |
| author_sort | Shouliang Xi |
| collection | DOAJ |
| description | In this paper, we study the existence of multiple nonnegative solutions for second-order boundary-value problems of differential equations with sign-changing nonlinearities. Our main tools are the fixed-point theorem in double cones and the Leggett-Williams fixed point theorem. We present also the integral kernel associated with the boundary-value problem. |
| first_indexed | 2024-04-13T02:20:00Z |
| format | Article |
| id | doaj.art-3163c465085645668d8914ee702498d6 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T02:20:00Z |
| publishDate | 2009-05-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-3163c465085645668d8914ee702498d62022-12-22T03:07:01ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912009-05-01200966,110Multiple nonnegative solutions for second-order boundary-value problems with sign-changing nonlinearitiesShouliang XiMei JiaHuipeng JiIn this paper, we study the existence of multiple nonnegative solutions for second-order boundary-value problems of differential equations with sign-changing nonlinearities. Our main tools are the fixed-point theorem in double cones and the Leggett-Williams fixed point theorem. We present also the integral kernel associated with the boundary-value problem.http://ejde.math.txstate.edu/Volumes/2009/66/abstr.htmlNonnegative solutionsfixed-point theorem in double conesintegral kernelintegral boundary conditions |
| spellingShingle | Shouliang Xi Mei Jia Huipeng Ji Multiple nonnegative solutions for second-order boundary-value problems with sign-changing nonlinearities Electronic Journal of Differential Equations Nonnegative solutions fixed-point theorem in double cones integral kernel integral boundary conditions |
| title | Multiple nonnegative solutions for second-order boundary-value problems with sign-changing nonlinearities |
| title_full | Multiple nonnegative solutions for second-order boundary-value problems with sign-changing nonlinearities |
| title_fullStr | Multiple nonnegative solutions for second-order boundary-value problems with sign-changing nonlinearities |
| title_full_unstemmed | Multiple nonnegative solutions for second-order boundary-value problems with sign-changing nonlinearities |
| title_short | Multiple nonnegative solutions for second-order boundary-value problems with sign-changing nonlinearities |
| title_sort | multiple nonnegative solutions for second order boundary value problems with sign changing nonlinearities |
| topic | Nonnegative solutions fixed-point theorem in double cones integral kernel integral boundary conditions |
| url | http://ejde.math.txstate.edu/Volumes/2009/66/abstr.html |
| work_keys_str_mv | AT shouliangxi multiplenonnegativesolutionsforsecondorderboundaryvalueproblemswithsignchangingnonlinearities AT meijia multiplenonnegativesolutionsforsecondorderboundaryvalueproblemswithsignchangingnonlinearities AT huipengji multiplenonnegativesolutionsforsecondorderboundaryvalueproblemswithsignchangingnonlinearities |