New Criteria on Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Dynamic Equations with Nonlinear Neutral Terms
In the paper, we provide sufficient conditions for the oscillatory and asymptotic behavior of a new type of third-order nonlinear dynamic equations with mixed nonlinear neutral terms. Our theorems not only improve and extend existing theorems in the literature but also provide a new approach as far...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-02-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/23/2/227 |
| _version_ | 1827589197898186752 |
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| author | Said R. Grace Jehad Alzabut Abdullah Özbekler |
| author_facet | Said R. Grace Jehad Alzabut Abdullah Özbekler |
| author_sort | Said R. Grace |
| collection | DOAJ |
| description | In the paper, we provide sufficient conditions for the oscillatory and asymptotic behavior of a new type of third-order nonlinear dynamic equations with mixed nonlinear neutral terms. Our theorems not only improve and extend existing theorems in the literature but also provide a new approach as far as the nonlinear neutral terms are concerned. The main results are illustrated by some particular examples. |
| first_indexed | 2024-03-09T00:52:11Z |
| format | Article |
| id | doaj.art-1b713c1cf5b9436bbe8d7ab9d8eb8373 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T00:52:11Z |
| publishDate | 2021-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-1b713c1cf5b9436bbe8d7ab9d8eb83732023-12-11T17:07:29ZengMDPI AGEntropy1099-43002021-02-0123222710.3390/e23020227New Criteria on Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Dynamic Equations with Nonlinear Neutral TermsSaid R. Grace0Jehad Alzabut1Abdullah Özbekler2Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Giza 12221, EgyptDepartment of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaDepartment of Mathematics, Atilim University, Incek, Ankara 06830, TurkeyIn the paper, we provide sufficient conditions for the oscillatory and asymptotic behavior of a new type of third-order nonlinear dynamic equations with mixed nonlinear neutral terms. Our theorems not only improve and extend existing theorems in the literature but also provide a new approach as far as the nonlinear neutral terms are concerned. The main results are illustrated by some particular examples.https://www.mdpi.com/1099-4300/23/2/227oscillationasymptotic behaviornonlinear neutral termthird-order dynamic equations |
| spellingShingle | Said R. Grace Jehad Alzabut Abdullah Özbekler New Criteria on Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Dynamic Equations with Nonlinear Neutral Terms Entropy oscillation asymptotic behavior nonlinear neutral term third-order dynamic equations |
| title | New Criteria on Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Dynamic Equations with Nonlinear Neutral Terms |
| title_full | New Criteria on Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Dynamic Equations with Nonlinear Neutral Terms |
| title_fullStr | New Criteria on Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Dynamic Equations with Nonlinear Neutral Terms |
| title_full_unstemmed | New Criteria on Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Dynamic Equations with Nonlinear Neutral Terms |
| title_short | New Criteria on Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Dynamic Equations with Nonlinear Neutral Terms |
| title_sort | new criteria on oscillatory and asymptotic behavior of third order nonlinear dynamic equations with nonlinear neutral terms |
| topic | oscillation asymptotic behavior nonlinear neutral term third-order dynamic equations |
| url | https://www.mdpi.com/1099-4300/23/2/227 |
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