A Comparison Theorem for Oscillation of the Even-Order Nonlinear Neutral Difference Equation

A comparison theorem on oscillation behavior is firstly established for a class of even-order nonlinear neutral delay difference equations. By using the obtained comparison theorem, two oscillation criteria are derived for the class of even-order nonlinear neutral delay difference equations. Two exa...

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Main Author: Quanxin Zhang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/492492
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author Quanxin Zhang
author_facet Quanxin Zhang
author_sort Quanxin Zhang
collection DOAJ
description A comparison theorem on oscillation behavior is firstly established for a class of even-order nonlinear neutral delay difference equations. By using the obtained comparison theorem, two oscillation criteria are derived for the class of even-order nonlinear neutral delay difference equations. Two examples are given to show the effectiveness of the obtained results.
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institution Kabale University
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publishDate 2014-01-01
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series Abstract and Applied Analysis
spelling doaj-art-2b95627570b94b0b9f2b5b54445f78852025-02-03T01:22:39ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/492492492492A Comparison Theorem for Oscillation of the Even-Order Nonlinear Neutral Difference EquationQuanxin Zhang0Department of Mathematics, Binzhou University, Binzhou, Shandong 256603, ChinaA comparison theorem on oscillation behavior is firstly established for a class of even-order nonlinear neutral delay difference equations. By using the obtained comparison theorem, two oscillation criteria are derived for the class of even-order nonlinear neutral delay difference equations. Two examples are given to show the effectiveness of the obtained results.http://dx.doi.org/10.1155/2014/492492
spellingShingle Quanxin Zhang
A Comparison Theorem for Oscillation of the Even-Order Nonlinear Neutral Difference Equation
Abstract and Applied Analysis
title A Comparison Theorem for Oscillation of the Even-Order Nonlinear Neutral Difference Equation
title_full A Comparison Theorem for Oscillation of the Even-Order Nonlinear Neutral Difference Equation
title_fullStr A Comparison Theorem for Oscillation of the Even-Order Nonlinear Neutral Difference Equation
title_full_unstemmed A Comparison Theorem for Oscillation of the Even-Order Nonlinear Neutral Difference Equation
title_short A Comparison Theorem for Oscillation of the Even-Order Nonlinear Neutral Difference Equation
title_sort comparison theorem for oscillation of the even order nonlinear neutral difference equation
url http://dx.doi.org/10.1155/2014/492492
work_keys_str_mv AT quanxinzhang acomparisontheoremforoscillationoftheevenordernonlinearneutraldifferenceequation
AT quanxinzhang comparisontheoremforoscillationoftheevenordernonlinearneutraldifferenceequation