Multiple positive symmetric solutions to \(p\)-Laplacian dynamic equations on time scales
type: Item
instance of: scholarly article
title: Multiple positive symmetric solutions to \(p\)-Laplacian dynamic equations on time scales
zbMATH Open document ID: 1195.34141
DOI: 10.1155/2009/141929
author: You-hui Su
author: Can-Yun Huang
published in: Discrete Dynamics in Nature and Society
publication date: 2010-04-26T00:00:00Z
full work available at URL: https://eudml.org/doc/223851
review text: Summary: This paper makes a study on the existence of positive solution to \(p\)-Laplacian dynamic equations on time scales \(\mathbb T\). 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.
Mathematics Subject Classification ID: 34N05
Mathematics Subject Classification ID: 34B18
zbMATH DE Number: 5701455
zbMATH Keywords: time scales
Wikidata QID: Q58647388
MaRDI profile type: Publication
OpenAlex ID: W2089737993
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description: scientific article; zbMATH DE number 5701455