Sufficient Conditions for the Oscillation of Odd-Order Neutral Dynamic Equations

In this paper, we study oscillation and asymptotic behaviour of odd-order delay dynamic equations. We first state an oscillation test for odd-order nonneutral equations, then by comparison we provide sufficient conditions for all solutions of neutral equations to be oscillatory or tend to zero depen...

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Main Author: Basak Karpuz
Format: Article
Language:English
Published: Etamaths Publishing 2017-05-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/1131
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spelling doaj-b54849abb21e4641b307191490a5ab572021-08-26T13:44:38ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392017-05-011416976241Sufficient Conditions for the Oscillation of Odd-Order Neutral Dynamic EquationsBasak Karpuz0Dokuz Eylul UniversityIn this paper, we study oscillation and asymptotic behaviour of odd-order delay dynamic equations. We first state an oscillation test for odd-order nonneutral equations, then by comparison we provide sufficient conditions for all solutions of neutral equations to be oscillatory or tend to zero depending on two main ranges of the neutral coefficient.http://etamaths.com/index.php/ijaa/article/view/1131
collection DOAJ
language English
format Article
sources DOAJ
author Basak Karpuz
spellingShingle Basak Karpuz
Sufficient Conditions for the Oscillation of Odd-Order Neutral Dynamic Equations
International Journal of Analysis and Applications
author_facet Basak Karpuz
author_sort Basak Karpuz
title Sufficient Conditions for the Oscillation of Odd-Order Neutral Dynamic Equations
title_short Sufficient Conditions for the Oscillation of Odd-Order Neutral Dynamic Equations
title_full Sufficient Conditions for the Oscillation of Odd-Order Neutral Dynamic Equations
title_fullStr Sufficient Conditions for the Oscillation of Odd-Order Neutral Dynamic Equations
title_full_unstemmed Sufficient Conditions for the Oscillation of Odd-Order Neutral Dynamic Equations
title_sort sufficient conditions for the oscillation of odd-order neutral dynamic equations
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2017-05-01
description In this paper, we study oscillation and asymptotic behaviour of odd-order delay dynamic equations. We first state an oscillation test for odd-order nonneutral equations, then by comparison we provide sufficient conditions for all solutions of neutral equations to be oscillatory or tend to zero depending on two main ranges of the neutral coefficient.
url http://etamaths.com/index.php/ijaa/article/view/1131
work_keys_str_mv AT basakkarpuz sufficientconditionsfortheoscillationofoddorderneutraldynamicequations
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