On Oscillatory and Asymptotic Behavior of a Second-Order Nonlinear Damped Neutral Differential Equation

On Oscillatory and Asymptotic Behavior of a Second-Order Nonlinear Damped Neutral Differential Equation

This paper discusses oscillatory and asymptotic properties of solutions of a class of second-order nonlinear damped neutral differential equations. Some new sufficient conditions for any solution of the equation to be oscillatory or to converge to zero are given. The results obtained extend and impr...

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Main Authors: Ercan Tunç, Said R. Grace
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2016/3746368
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spelling doaj-b71f679549c94f46ad11787e94c7d7fb2020-11-24T23:52:41ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512016-01-01201610.1155/2016/37463683746368On Oscillatory and Asymptotic Behavior of a Second-Order Nonlinear Damped Neutral Differential EquationErcan Tunç0Said R. Grace1Department of Mathematics, Faculty of Arts and Sciences, Gaziosmanpaşa University, 60240 Tokat, TurkeyDepartment of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, EgyptThis paper discusses oscillatory and asymptotic properties of solutions of a class of second-order nonlinear damped neutral differential equations. Some new sufficient conditions for any solution of the equation to be oscillatory or to converge to zero are given. The results obtained extend and improve some of the related results reported in the literature. The results are illustrated with examples.http://dx.doi.org/10.1155/2016/3746368
collection DOAJ
language English
format Article
sources DOAJ
author Ercan Tunç
Said R. Grace
spellingShingle Ercan Tunç
Said R. Grace
On Oscillatory and Asymptotic Behavior of a Second-Order Nonlinear Damped Neutral Differential Equation
International Journal of Differential Equations
author_facet Ercan Tunç
Said R. Grace
author_sort Ercan Tunç
title On Oscillatory and Asymptotic Behavior of a Second-Order Nonlinear Damped Neutral Differential Equation
title_short On Oscillatory and Asymptotic Behavior of a Second-Order Nonlinear Damped Neutral Differential Equation
title_full On Oscillatory and Asymptotic Behavior of a Second-Order Nonlinear Damped Neutral Differential Equation
title_fullStr On Oscillatory and Asymptotic Behavior of a Second-Order Nonlinear Damped Neutral Differential Equation
title_full_unstemmed On Oscillatory and Asymptotic Behavior of a Second-Order Nonlinear Damped Neutral Differential Equation
title_sort on oscillatory and asymptotic behavior of a second-order nonlinear damped neutral differential equation
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9643
1687-9651
publishDate 2016-01-01
description This paper discusses oscillatory and asymptotic properties of solutions of a class of second-order nonlinear damped neutral differential equations. Some new sufficient conditions for any solution of the equation to be oscillatory or to converge to zero are given. The results obtained extend and improve some of the related results reported in the literature. The results are illustrated with examples.
url http://dx.doi.org/10.1155/2016/3746368
work_keys_str_mv AT ercantunc onoscillatoryandasymptoticbehaviorofasecondordernonlineardampedneutraldifferentialequation
AT saidrgrace onoscillatoryandasymptoticbehaviorofasecondordernonlineardampedneutraldifferentialequation
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