Extremal solutions for p-laplacian differential systems via iterative computation
In this paper, we study the extremal solutions of a fractional differential system involving the pp-Laplacian operator and nonlocal boundary conditions. The conditions for the existence of the maximal and minimal solutions to the system are established. In addition, we also derive explicit formulae...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Elsevier
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/37963 |
| _version_ | 1848755191176757248 |
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| author | Li, S. Zhang, X. Wu, Yong Hong Caccetta, Louis |
| author_facet | Li, S. Zhang, X. Wu, Yong Hong Caccetta, Louis |
| author_sort | Li, S. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we study the extremal solutions of a fractional differential system involving the pp-Laplacian operator and nonlocal boundary conditions. The conditions for the existence of the maximal and minimal solutions to the system are established. In addition, we also derive explicit formulae for the estimation of the lower and upper bounds of the extremal solutions, and establish a convergent iterative scheme for finding these solutions. We also give a special case in which the conditions for the existence of the extremal solutions can be easily verified. |
| first_indexed | 2025-11-14T08:52:23Z |
| format | Journal Article |
| id | curtin-20.500.11937-37963 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:52:23Z |
| publishDate | 2013 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-379632017-09-13T14:13:45Z Extremal solutions for p-laplacian differential systems via iterative computation Li, S. Zhang, X. Wu, Yong Hong Caccetta, Louis Iterative computation Extremal solutions pp-Laplacian operator Differential systems In this paper, we study the extremal solutions of a fractional differential system involving the pp-Laplacian operator and nonlocal boundary conditions. The conditions for the existence of the maximal and minimal solutions to the system are established. In addition, we also derive explicit formulae for the estimation of the lower and upper bounds of the extremal solutions, and establish a convergent iterative scheme for finding these solutions. We also give a special case in which the conditions for the existence of the extremal solutions can be easily verified. 2013 Journal Article http://hdl.handle.net/20.500.11937/37963 10.1016/j.aml.2013.06.014 Elsevier restricted |
| spellingShingle | Iterative computation Extremal solutions pp-Laplacian operator Differential systems Li, S. Zhang, X. Wu, Yong Hong Caccetta, Louis Extremal solutions for p-laplacian differential systems via iterative computation |
| title | Extremal solutions for p-laplacian differential systems via iterative computation |
| title_full | Extremal solutions for p-laplacian differential systems via iterative computation |
| title_fullStr | Extremal solutions for p-laplacian differential systems via iterative computation |
| title_full_unstemmed | Extremal solutions for p-laplacian differential systems via iterative computation |
| title_short | Extremal solutions for p-laplacian differential systems via iterative computation |
| title_sort | extremal solutions for p-laplacian differential systems via iterative computation |
| topic | Iterative computation Extremal solutions pp-Laplacian operator Differential systems |
| url | http://hdl.handle.net/20.500.11937/37963 |