The solutions for Semipositone (k,n-k) conjugate boundary value problems
©, 2015, Chinese Academy of Sciences. All right reserved.We consider the existence of positive solutions to the following semiposi-tone (k,n-k) conjugate boundary value problems (SCBVP): [Formula is presented] where n=2, 1<k<n-1. The nonlinear function f may change sign for 0 <...
| Main Authors: | , |
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| Format: | Journal Article |
| Published: |
Kexue Chubanshe
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/52169 |
| _version_ | 1848758863133671424 |
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| author | Su, H. Liu, Lishan |
| author_facet | Su, H. Liu, Lishan |
| author_sort | Su, H. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | ©, 2015, Chinese Academy of Sciences. All right reserved.We consider the existence of positive solutions to the following semiposi-tone (k,n-k) conjugate boundary value problems (SCBVP): [Formula is presented] where n=2, 1<k<n-1. The nonlinear function f may change sign for 0 < t < 1, i.e., we allow that the nonlinear term f is both semipositone and lower unbounded. Without making any monotone-type assumption, by using the fixed-point index theory, the existence of positive solution and many positive solutions are obtained. |
| first_indexed | 2025-11-14T09:50:44Z |
| format | Journal Article |
| id | curtin-20.500.11937-52169 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:50:44Z |
| publishDate | 2015 |
| publisher | Kexue Chubanshe |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-521692017-04-28T13:57:48Z The solutions for Semipositone (k,n-k) conjugate boundary value problems Su, H. Liu, Lishan ©, 2015, Chinese Academy of Sciences. All right reserved.We consider the existence of positive solutions to the following semiposi-tone (k,n-k) conjugate boundary value problems (SCBVP): [Formula is presented] where n=2, 1<k<n-1. The nonlinear function f may change sign for 0 < t < 1, i.e., we allow that the nonlinear term f is both semipositone and lower unbounded. Without making any monotone-type assumption, by using the fixed-point index theory, the existence of positive solution and many positive solutions are obtained. 2015 Journal Article http://hdl.handle.net/20.500.11937/52169 Kexue Chubanshe restricted |
| spellingShingle | Su, H. Liu, Lishan The solutions for Semipositone (k,n-k) conjugate boundary value problems |
| title | The solutions for Semipositone (k,n-k) conjugate boundary value problems |
| title_full | The solutions for Semipositone (k,n-k) conjugate boundary value problems |
| title_fullStr | The solutions for Semipositone (k,n-k) conjugate boundary value problems |
| title_full_unstemmed | The solutions for Semipositone (k,n-k) conjugate boundary value problems |
| title_short | The solutions for Semipositone (k,n-k) conjugate boundary value problems |
| title_sort | solutions for semipositone (k,n-k) conjugate boundary value problems |
| url | http://hdl.handle.net/20.500.11937/52169 |