Existence of Solutions for Nonlinear Four-Point p-Laplacian Boundary Value Problems on Time Scales

Existence of Solutions for Nonlinear Four-Point p-Laplacian Boundary Value Problems on Time Scales

We are concerned with proving the existence of positive solutions of a nonlinear second-order four-point boundary value problem with a p-Laplacian operator on time scales. The proofs are based on the fixed point theorems concerning cones in a Banach space. Existence result for p-Laplacian boundary v...

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Main Authors: S. Gulsan Topal, O. Batit Ozen, Erbil Cetin
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/2009/123565
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spelling doaj-d1c1aa6cf39e4ec1b50b533f2eb5b4ae2020-11-24T22:02:58ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472009-01-01200910.1155/2009/123565Existence of Solutions for Nonlinear Four-Point p-Laplacian Boundary Value Problems on Time ScalesS. Gulsan TopalO. Batit OzenErbil CetinWe are concerned with proving the existence of positive solutions of a nonlinear second-order four-point boundary value problem with a p-Laplacian operator on time scales. The proofs are based on the fixed point theorems concerning cones in a Banach space. Existence result for p-Laplacian boundary value problem is also given by the monotone method. http://dx.doi.org/10.1155/2009/123565
collection DOAJ
language English
format Article
sources DOAJ
author S. Gulsan Topal
O. Batit Ozen
Erbil Cetin
spellingShingle S. Gulsan Topal
O. Batit Ozen
Erbil Cetin
Existence of Solutions for Nonlinear Four-Point p-Laplacian Boundary Value Problems on Time Scales
Advances in Difference Equations
author_facet S. Gulsan Topal
O. Batit Ozen
Erbil Cetin
author_sort S. Gulsan Topal
title Existence of Solutions for Nonlinear Four-Point p-Laplacian Boundary Value Problems on Time Scales
title_short Existence of Solutions for Nonlinear Four-Point p-Laplacian Boundary Value Problems on Time Scales
title_full Existence of Solutions for Nonlinear Four-Point p-Laplacian Boundary Value Problems on Time Scales
title_fullStr Existence of Solutions for Nonlinear Four-Point p-Laplacian Boundary Value Problems on Time Scales
title_full_unstemmed Existence of Solutions for Nonlinear Four-Point p-Laplacian Boundary Value Problems on Time Scales
title_sort existence of solutions for nonlinear four-point p-laplacian boundary value problems on time scales
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1839
1687-1847
publishDate 2009-01-01
description We are concerned with proving the existence of positive solutions of a nonlinear second-order four-point boundary value problem with a p-Laplacian operator on time scales. The proofs are based on the fixed point theorems concerning cones in a Banach space. Existence result for p-Laplacian boundary value problem is also given by the monotone method.
url http://dx.doi.org/10.1155/2009/123565
work_keys_str_mv AT sgulsantopal existenceofsolutionsfornonlinearfourpointplaplacianboundaryvalueproblemsontimescales
AT obatitozen existenceofsolutionsfornonlinearfourpointplaplacianboundaryvalueproblemsontimescales
AT erbilcetin existenceofsolutionsfornonlinearfourpointplaplacianboundaryvalueproblemsontimescales
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