Multiple Positive Symmetric Solutions to p-Laplacian Dynamic Equations on Time Scales

Multiple Positive Symmetric Solutions to p-Laplacian Dynamic Equations on Time Scales

This paper makes a study on the existence of positive solution to p-Laplacian dynamic equations on time scales 𝕋. Some new sufficient conditions are obtained for the existence of at least single or twin positive solutions by using Krasnosel'skii's fixed point theorem and new su...

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Main Authors: You-Hui Su, Can-Yun Huang
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2009/141929
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spelling doaj-23e3353e2cbb454b8e330445f4e230d32020-11-25T00:01:28ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2009-01-01200910.1155/2009/141929141929Multiple Positive Symmetric Solutions to p-Laplacian Dynamic Equations on Time ScalesYou-Hui Su0Can-Yun Huang1School of Mathematics and Physical Sciences, Xuzhou Institute of Technology, Xuzhou, Jiangsu 221008, ChinaDepartment of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, ChinaThis paper makes a study on the existence of positive solution to p-Laplacian dynamic equations on time scales 𝕋. Some new sufficient conditions are obtained for the existence of at least single or twin positive solutions by using Krasnosel'skii's fixed point theorem and new sufficient conditions are also obtained for the existence of at least triple or arbitrary odd number positive solutions by using generalized Avery-Henderson fixed point theorem and Avery-Peterson fixed point theorem. As applications, two examples are given to illustrate the main results and their differences. These results are even new for the special cases of continuous and discrete equations, as well as in the general time-scale setting.http://dx.doi.org/10.1155/2009/141929
collection DOAJ
language English
format Article
sources DOAJ
author You-Hui Su
Can-Yun Huang
spellingShingle You-Hui Su
Can-Yun Huang
Multiple Positive Symmetric Solutions to p-Laplacian Dynamic Equations on Time Scales
Discrete Dynamics in Nature and Society
author_facet You-Hui Su
Can-Yun Huang
author_sort You-Hui Su
title Multiple Positive Symmetric Solutions to p-Laplacian Dynamic Equations on Time Scales
title_short Multiple Positive Symmetric Solutions to p-Laplacian Dynamic Equations on Time Scales
title_full Multiple Positive Symmetric Solutions to p-Laplacian Dynamic Equations on Time Scales
title_fullStr Multiple Positive Symmetric Solutions to p-Laplacian Dynamic Equations on Time Scales
title_full_unstemmed Multiple Positive Symmetric Solutions to p-Laplacian Dynamic Equations on Time Scales
title_sort multiple positive symmetric solutions to p-laplacian dynamic equations on time scales
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2009-01-01
description This paper makes a study on the existence of positive solution to p-Laplacian dynamic equations on time scales 𝕋. Some new sufficient conditions are obtained for the existence of at least single or twin positive solutions by using Krasnosel'skii's fixed point theorem and new sufficient conditions are also obtained for the existence of at least triple or arbitrary odd number positive solutions by using generalized Avery-Henderson fixed point theorem and Avery-Peterson fixed point theorem. As applications, two examples are given to illustrate the main results and their differences. These results are even new for the special cases of continuous and discrete equations, as well as in the general time-scale setting.
url http://dx.doi.org/10.1155/2009/141929
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AT canyunhuang multiplepositivesymmetricsolutionstoplaplaciandynamicequationsontimescales
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