Solutions for p-Laplacian Dynamic Delay Differential Equations on Time Scales

Solutions for p-Laplacian Dynamic Delay Differential Equations on Time Scales

Let T be a time scale. We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with p-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. By using the fixed-point index theory, the existence of positive...

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Main Authors: Hua Su, Lishan Liu, Xinjun Wang
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/652465
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spelling doaj-d2df6ab5f7c9454aa34840219cd818a02020-11-24T22:39:51ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/652465652465Solutions for p-Laplacian Dynamic Delay Differential Equations on Time ScalesHua Su0Lishan Liu1Xinjun Wang2School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Shandong Jinan, 250014, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaSchool of Economics, Shandong University, Jinan 250014, ChinaLet T be a time scale. We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with p-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear four-point singular boundary value problem with p-Laplacian operator is obtained.http://dx.doi.org/10.1155/2012/652465
collection DOAJ
language English
format Article
sources DOAJ
author Hua Su
Lishan Liu
Xinjun Wang
spellingShingle Hua Su
Lishan Liu
Xinjun Wang
Solutions for p-Laplacian Dynamic Delay Differential Equations on Time Scales
Journal of Applied Mathematics
author_facet Hua Su
Lishan Liu
Xinjun Wang
author_sort Hua Su
title Solutions for p-Laplacian Dynamic Delay Differential Equations on Time Scales
title_short Solutions for p-Laplacian Dynamic Delay Differential Equations on Time Scales
title_full Solutions for p-Laplacian Dynamic Delay Differential Equations on Time Scales
title_fullStr Solutions for p-Laplacian Dynamic Delay Differential Equations on Time Scales
title_full_unstemmed Solutions for p-Laplacian Dynamic Delay Differential Equations on Time Scales
title_sort solutions for p-laplacian dynamic delay differential equations on time scales
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description Let T be a time scale. We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with p-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear four-point singular boundary value problem with p-Laplacian operator is obtained.
url http://dx.doi.org/10.1155/2012/652465
work_keys_str_mv AT huasu solutionsforplaplaciandynamicdelaydifferentialequationsontimescales
AT lishanliu solutionsforplaplaciandynamicdelaydifferentialequationsontimescales
AT xinjunwang solutionsforplaplaciandynamicdelaydifferentialequationsontimescales
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