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: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2016/3746368 |
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| _version_ | 1832548695897276416 |
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| author | Ercan Tunç Said R. Grace |
| author_facet | Ercan Tunç Said R. Grace |
| author_sort | Ercan Tunç |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-b71f679549c94f46ad11787e94c7d7fb |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-b71f679549c94f46ad11787e94c7d7fb2025-02-03T06:13:16ZengWileyInternational 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2016/3746368 |
| work_keys_str_mv | AT ercantunc onoscillatoryandasymptoticbehaviorofasecondordernonlineardampedneutraldifferentialequation AT saidrgrace onoscillatoryandasymptoticbehaviorofasecondordernonlineardampedneutraldifferentialequation |