On Positive Solutions of a Fourth Order Nonlinear Neutral Delay Difference Equation

On Positive Solutions of a Fourth Order Nonlinear Neutral Delay Difference Equation

The existence results of uncountably many bounded positive solutions for a fourth order nonlinear neutral delay difference equation are proved by means of the Krasnoselskii’s fixed point theorem and Schauder’s fixed point theorem. A few examples are included.

Bibliographic Details
Main Authors: Zeqing Liu, Xiaoping Zhang, Shin Min Kang, Young Chel Kwun
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/238036
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spelling doaj-509522b3fc4c4efe8236e175ac73a9672020-11-25T00:46:50ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/238036238036On Positive Solutions of a Fourth Order Nonlinear Neutral Delay Difference EquationZeqing Liu0Xiaoping Zhang1Shin Min Kang2Young Chel Kwun3Department of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, ChinaDepartment of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, ChinaDepartment of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of KoreaDepartment of Mathematics, Dong-A University, Pusan 614-714, Republic of KoreaThe existence results of uncountably many bounded positive solutions for a fourth order nonlinear neutral delay difference equation are proved by means of the Krasnoselskii’s fixed point theorem and Schauder’s fixed point theorem. A few examples are included.http://dx.doi.org/10.1155/2014/238036
collection DOAJ
language English
format Article
sources DOAJ
author Zeqing Liu
Xiaoping Zhang
Shin Min Kang
Young Chel Kwun
spellingShingle Zeqing Liu
Xiaoping Zhang
Shin Min Kang
Young Chel Kwun
On Positive Solutions of a Fourth Order Nonlinear Neutral Delay Difference Equation
Abstract and Applied Analysis
author_facet Zeqing Liu
Xiaoping Zhang
Shin Min Kang
Young Chel Kwun
author_sort Zeqing Liu
title On Positive Solutions of a Fourth Order Nonlinear Neutral Delay Difference Equation
title_short On Positive Solutions of a Fourth Order Nonlinear Neutral Delay Difference Equation
title_full On Positive Solutions of a Fourth Order Nonlinear Neutral Delay Difference Equation
title_fullStr On Positive Solutions of a Fourth Order Nonlinear Neutral Delay Difference Equation
title_full_unstemmed On Positive Solutions of a Fourth Order Nonlinear Neutral Delay Difference Equation
title_sort on positive solutions of a fourth order nonlinear neutral delay difference equation
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description The existence results of uncountably many bounded positive solutions for a fourth order nonlinear neutral delay difference equation are proved by means of the Krasnoselskii’s fixed point theorem and Schauder’s fixed point theorem. A few examples are included.
url http://dx.doi.org/10.1155/2014/238036
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AT xiaopingzhang onpositivesolutionsofafourthordernonlinearneutraldelaydifferenceequation
AT shinminkang onpositivesolutionsofafourthordernonlinearneutraldelaydifferenceequation
AT youngchelkwun onpositivesolutionsofafourthordernonlinearneutraldelaydifferenceequation
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