Multiple Positive Solutions of a Nonlinear Four-Point Singular Boundary Value Problem with a p-Laplacian Operator on Time Scales

We present sufficient conditions for the existence of at least twin or triple positive solutions of a nonlinear four-point singular boundary value problem with a p-Laplacian dynamic equation on a time scale. Our results are obtained via some new multiple fixed point theorems.

Bibliographic Details
Main Author: Shihuang Hong
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/2009/103276
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spelling doaj-202da98ff271483b9b3f97ce9eb0eb0f2020-11-24T21:36:32ZengSpringerOpenBoundary Value Problems1687-27621687-27702009-01-01200910.1155/2009/103276Multiple Positive Solutions of a Nonlinear Four-Point Singular Boundary Value Problem with a p-Laplacian Operator on Time ScalesShihuang HongWe present sufficient conditions for the existence of at least twin or triple positive solutions of a nonlinear four-point singular boundary value problem with a p-Laplacian dynamic equation on a time scale. Our results are obtained via some new multiple fixed point theorems. http://dx.doi.org/10.1155/2009/103276
collection DOAJ
language English
format Article
sources DOAJ
author Shihuang Hong
spellingShingle Shihuang Hong
Multiple Positive Solutions of a Nonlinear Four-Point Singular Boundary Value Problem with a p-Laplacian Operator on Time Scales
Boundary Value Problems
author_facet Shihuang Hong
author_sort Shihuang Hong
title Multiple Positive Solutions of a Nonlinear Four-Point Singular Boundary Value Problem with a p-Laplacian Operator on Time Scales
title_short Multiple Positive Solutions of a Nonlinear Four-Point Singular Boundary Value Problem with a p-Laplacian Operator on Time Scales
title_full Multiple Positive Solutions of a Nonlinear Four-Point Singular Boundary Value Problem with a p-Laplacian Operator on Time Scales
title_fullStr Multiple Positive Solutions of a Nonlinear Four-Point Singular Boundary Value Problem with a p-Laplacian Operator on Time Scales
title_full_unstemmed Multiple Positive Solutions of a Nonlinear Four-Point Singular Boundary Value Problem with a p-Laplacian Operator on Time Scales
title_sort multiple positive solutions of a nonlinear four-point singular boundary value problem with a p-laplacian operator on time scales
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2762
1687-2770
publishDate 2009-01-01
description We present sufficient conditions for the existence of at least twin or triple positive solutions of a nonlinear four-point singular boundary value problem with a p-Laplacian dynamic equation on a time scale. Our results are obtained via some new multiple fixed point theorems.
url http://dx.doi.org/10.1155/2009/103276
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