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...

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Autores principales: Grace, Said R., Alzabut, Jehad, Özbekler, Abdullah
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7918595/
https://www.ncbi.nlm.nih.gov/pubmed/33671857
http://dx.doi.org/10.3390/e23020227
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author Grace, Said R.
Alzabut, Jehad
Özbekler, Abdullah
author_facet Grace, Said R.
Alzabut, Jehad
Özbekler, Abdullah
author_sort Grace, Said R.
collection PubMed
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.
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spelling pubmed-79185952021-03-02 New Criteria on Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Dynamic Equations with Nonlinear Neutral Terms Grace, Said R. Alzabut, Jehad Özbekler, Abdullah Entropy (Basel) Article 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. MDPI 2021-02-15 /pmc/articles/PMC7918595/ /pubmed/33671857 http://dx.doi.org/10.3390/e23020227 Text en © 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Grace, Said R.
Alzabut, Jehad
Özbekler, Abdullah
New Criteria on Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Dynamic Equations with Nonlinear Neutral Terms
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 Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7918595/
https://www.ncbi.nlm.nih.gov/pubmed/33671857
http://dx.doi.org/10.3390/e23020227
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