On the asymptotic and oscillatory behavior of solutions of third-order neutral dynamic equations on time scales

Abstract The oscillatory and asymptotic behavior results for a class of third-order nonlinear neutral dynamic equations on time scales are presented. The results obtained can be extended to more general third-order neutral dynamic equations of the type considered here. Examples are provided to illus...

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Main Authors: Ercan Tunç, Orhan Özdemir
Format: Article
Language:English
Published: SpringerOpen 2017-05-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-017-1187-1
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author Ercan Tunç
Orhan Özdemir
author_facet Ercan Tunç
Orhan Özdemir
author_sort Ercan Tunç
collection DOAJ
description Abstract The oscillatory and asymptotic behavior results for a class of third-order nonlinear neutral dynamic equations on time scales are presented. The results obtained can be extended to more general third-order neutral dynamic equations of the type considered here. Examples are provided to illustrate the applicability of the results.
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spelling doaj.art-ff10697ef9a44addac5c6b79f152cb342022-12-21T19:03:40ZengSpringerOpenAdvances in Difference Equations1687-18472017-05-012017111310.1186/s13662-017-1187-1On the asymptotic and oscillatory behavior of solutions of third-order neutral dynamic equations on time scalesErcan Tunç0Orhan Özdemir1Department of Mathematics, Faculty of Arts and Sciences, Gaziosmanpasa UniversityDepartment of Mathematics, Faculty of Arts and Sciences, Gaziosmanpasa UniversityAbstract The oscillatory and asymptotic behavior results for a class of third-order nonlinear neutral dynamic equations on time scales are presented. The results obtained can be extended to more general third-order neutral dynamic equations of the type considered here. Examples are provided to illustrate the applicability of the results.http://link.springer.com/article/10.1186/s13662-017-1187-1third-orderneutral dynamic equationsoscillationasymptotic behaviortime scales
spellingShingle Ercan Tunç
Orhan Özdemir
On the asymptotic and oscillatory behavior of solutions of third-order neutral dynamic equations on time scales
Advances in Difference Equations
third-order
neutral dynamic equations
oscillation
asymptotic behavior
time scales
title On the asymptotic and oscillatory behavior of solutions of third-order neutral dynamic equations on time scales
title_full On the asymptotic and oscillatory behavior of solutions of third-order neutral dynamic equations on time scales
title_fullStr On the asymptotic and oscillatory behavior of solutions of third-order neutral dynamic equations on time scales
title_full_unstemmed On the asymptotic and oscillatory behavior of solutions of third-order neutral dynamic equations on time scales
title_short On the asymptotic and oscillatory behavior of solutions of third-order neutral dynamic equations on time scales
title_sort on the asymptotic and oscillatory behavior of solutions of third order neutral dynamic equations on time scales
topic third-order
neutral dynamic equations
oscillation
asymptotic behavior
time scales
url http://link.springer.com/article/10.1186/s13662-017-1187-1
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AT orhanozdemir ontheasymptoticandoscillatorybehaviorofsolutionsofthirdorderneutraldynamicequationsontimescales