A necessary and sufficient condition for positive solutions for fourth-order multi-point boundary value problems with p-Laplacian
In this paper, we consider the existence of positive solutions for a class of singular fourth-order pp-Laplacian equation with multi-point boundary conditions. By means of a monotone iterative technique, a necessary and sufficient condition for the existence of a pseudo -C3[0,1]C3[0,1] positive sol...
| Main Authors: | , |
|---|---|
| Format: | Journal Article |
| Published: |
Elsevier
2008
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/37339 |
| _version_ | 1848755019521720320 |
|---|---|
| author | Zhang, Xinguang Liu, L. |
| author_facet | Zhang, Xinguang Liu, L. |
| author_sort | Zhang, Xinguang |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider the existence of positive solutions for a class of singular fourth-order pp-Laplacian equation with multi-point boundary conditions. By means of a monotone iterative technique, a necessary and sufficient condition for the existence of a pseudo -C3[0,1]C3[0,1] positive solution is established. Also, the existence and uniqueness of the pseudo -C3[0,1]C3[0,1] positive solution, the iterative sequence of the solution and an error estimation for the pseudo -C3[0,1]C3[0,1] positive solution are obtained. |
| first_indexed | 2025-11-14T08:49:39Z |
| format | Journal Article |
| id | curtin-20.500.11937-37339 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:49:39Z |
| publishDate | 2008 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-373392017-09-13T15:57:25Z A necessary and sufficient condition for positive solutions for fourth-order multi-point boundary value problems with p-Laplacian Zhang, Xinguang Liu, L. pp-Laplacian Pseudo -C3[0 1] positive solutions Cone Necessary and sufficient condition 1]C3[0 In this paper, we consider the existence of positive solutions for a class of singular fourth-order pp-Laplacian equation with multi-point boundary conditions. By means of a monotone iterative technique, a necessary and sufficient condition for the existence of a pseudo -C3[0,1]C3[0,1] positive solution is established. Also, the existence and uniqueness of the pseudo -C3[0,1]C3[0,1] positive solution, the iterative sequence of the solution and an error estimation for the pseudo -C3[0,1]C3[0,1] positive solution are obtained. 2008 Journal Article http://hdl.handle.net/20.500.11937/37339 10.1016/j.na.2007.03.006 Elsevier restricted |
| spellingShingle | pp-Laplacian Pseudo -C3[0 1] positive solutions Cone Necessary and sufficient condition 1]C3[0 Zhang, Xinguang Liu, L. A necessary and sufficient condition for positive solutions for fourth-order multi-point boundary value problems with p-Laplacian |
| title | A necessary and sufficient condition for positive solutions for fourth-order multi-point boundary value problems with p-Laplacian |
| title_full | A necessary and sufficient condition for positive solutions for fourth-order multi-point boundary value problems with p-Laplacian |
| title_fullStr | A necessary and sufficient condition for positive solutions for fourth-order multi-point boundary value problems with p-Laplacian |
| title_full_unstemmed | A necessary and sufficient condition for positive solutions for fourth-order multi-point boundary value problems with p-Laplacian |
| title_short | A necessary and sufficient condition for positive solutions for fourth-order multi-point boundary value problems with p-Laplacian |
| title_sort | necessary and sufficient condition for positive solutions for fourth-order multi-point boundary value problems with p-laplacian |
| topic | pp-Laplacian Pseudo -C3[0 1] positive solutions Cone Necessary and sufficient condition 1]C3[0 |
| url | http://hdl.handle.net/20.500.11937/37339 |