Existence Theory for Pseudo-Symmetric Solution to 𝑝-Laplacian Differential Equations Involving Derivative

We all-sidedly consider a three-point boundary value problem for 𝑝-Laplacian differential equation with nonlinear term involving derivative. Some new sufficient conditions are obtained for the existence of at least one, triple, or arbitrary odd positive pseudosymmetric solutions by using pseudosymme...

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Main Authors: You-Hui Su, Weili Wu, Xingjie Yan
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/182831
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author You-Hui Su
Weili Wu
Xingjie Yan
author_facet You-Hui Su
Weili Wu
Xingjie Yan
author_sort You-Hui Su
collection DOAJ
description We all-sidedly consider a three-point boundary value problem for 𝑝-Laplacian differential equation with nonlinear term involving derivative. Some new sufficient conditions are obtained for the existence of at least one, triple, or arbitrary odd positive pseudosymmetric solutions by using pseudosymmetric technique and fixed-point theory in cone. As an application, two examples are given to illustrate the main results.
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language English
publishDate 2011-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-165a7788b6ff4861bee82f37a4b124932025-02-03T05:54:22ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/182831182831Existence Theory for Pseudo-Symmetric Solution to 𝑝-Laplacian Differential Equations Involving DerivativeYou-Hui Su0Weili Wu1Xingjie Yan2School of Mathematics and Physics, XuZhou Institute of Technology, Xuzhou, Jiangsu 221008, ChinaSchool of Mathematics and Physics, XuZhou Institute of Technology, Xuzhou, Jiangsu 221008, ChinaCollege of Sciences, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaWe all-sidedly consider a three-point boundary value problem for 𝑝-Laplacian differential equation with nonlinear term involving derivative. Some new sufficient conditions are obtained for the existence of at least one, triple, or arbitrary odd positive pseudosymmetric solutions by using pseudosymmetric technique and fixed-point theory in cone. As an application, two examples are given to illustrate the main results.http://dx.doi.org/10.1155/2011/182831
spellingShingle You-Hui Su
Weili Wu
Xingjie Yan
Existence Theory for Pseudo-Symmetric Solution to 𝑝-Laplacian Differential Equations Involving Derivative
Abstract and Applied Analysis
title Existence Theory for Pseudo-Symmetric Solution to 𝑝-Laplacian Differential Equations Involving Derivative
title_full Existence Theory for Pseudo-Symmetric Solution to 𝑝-Laplacian Differential Equations Involving Derivative
title_fullStr Existence Theory for Pseudo-Symmetric Solution to 𝑝-Laplacian Differential Equations Involving Derivative
title_full_unstemmed Existence Theory for Pseudo-Symmetric Solution to 𝑝-Laplacian Differential Equations Involving Derivative
title_short Existence Theory for Pseudo-Symmetric Solution to 𝑝-Laplacian Differential Equations Involving Derivative
title_sort existence theory for pseudo symmetric solution to 𝑝 laplacian differential equations involving derivative
url http://dx.doi.org/10.1155/2011/182831
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AT weiliwu existencetheoryforpseudosymmetricsolutiontoplaplaciandifferentialequationsinvolvingderivative
AT xingjieyan existencetheoryforpseudosymmetricsolutiontoplaplaciandifferentialequationsinvolvingderivative