Existence of positive solutions for p-Laplacian three-point boundary-value problems on time scales
This article shows the existence of positive solutions for a class of p-Laplacian three-point boundary-value problem on time scales. By using several fixed point theorems in cones, we establish conditions for the existence of at least one, two or three positive solutions for the boundary-value p...
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Texas State University
2008-07-01
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Online Access: | http://ejde.math.txstate.edu/Volumes/2008/92/abstr.html |
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doaj-a339cda2570e4107a55ecbac03bcc8d62020-11-24T22:07:28ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912008-07-01200892114Existence of positive solutions for p-Laplacian three-point boundary-value problems on time scalesYing-Hai WangHong-Rui SunThis article shows the existence of positive solutions for a class of p-Laplacian three-point boundary-value problem on time scales. By using several fixed point theorems in cones, we establish conditions for the existence of at least one, two or three positive solutions for the boundary-value problems. Our results are new even for the corresponding differential ($mathbb{T}=mathbb{R})$ and difference equation ($mathbb{T}=mathbb{Z})$, and for the general time scales setting. An example is also given to illustrate our results.http://ejde.math.txstate.edu/Volumes/2008/92/abstr.htmlTime scalesp-Laplacianpositive solutionconefixed point |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ying-Hai Wang Hong-Rui Sun |
spellingShingle |
Ying-Hai Wang Hong-Rui Sun Existence of positive solutions for p-Laplacian three-point boundary-value problems on time scales Electronic Journal of Differential Equations Time scales p-Laplacian positive solution cone fixed point |
author_facet |
Ying-Hai Wang Hong-Rui Sun |
author_sort |
Ying-Hai Wang |
title |
Existence of positive solutions for p-Laplacian three-point boundary-value problems on time scales |
title_short |
Existence of positive solutions for p-Laplacian three-point boundary-value problems on time scales |
title_full |
Existence of positive solutions for p-Laplacian three-point boundary-value problems on time scales |
title_fullStr |
Existence of positive solutions for p-Laplacian three-point boundary-value problems on time scales |
title_full_unstemmed |
Existence of positive solutions for p-Laplacian three-point boundary-value problems on time scales |
title_sort |
existence of positive solutions for p-laplacian three-point boundary-value problems on time scales |
publisher |
Texas State University |
series |
Electronic Journal of Differential Equations |
issn |
1072-6691 |
publishDate |
2008-07-01 |
description |
This article shows the existence of positive solutions for a class of p-Laplacian three-point boundary-value problem on time scales. By using several fixed point theorems in cones, we establish conditions for the existence of at least one, two or three positive solutions for the boundary-value problems. Our results are new even for the corresponding differential ($mathbb{T}=mathbb{R})$ and difference equation ($mathbb{T}=mathbb{Z})$, and for the general time scales setting. An example is also given to illustrate our results. |
topic |
Time scales p-Laplacian positive solution cone fixed point |
url |
http://ejde.math.txstate.edu/Volumes/2008/92/abstr.html |
work_keys_str_mv |
AT yinghaiwang existenceofpositivesolutionsforplaplacianthreepointboundaryvalueproblemsontimescales AT hongruisun existenceofpositivesolutionsforplaplacianthreepointboundaryvalueproblemsontimescales |
_version_ |
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