Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions

The objective of this paper is to study oscillation of fourth-order neutral differential equation. By using Riccati substitution and comparison technique, new oscillation conditions are obtained which insure that all solutions of the studied equation are oscillatory. Our results complement some know...

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Autores principales: Agarwal, Ravi P., Bazighifan, Omar, Ragusa, Maria Alessandra
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7908988/
https://www.ncbi.nlm.nih.gov/pubmed/33498158
http://dx.doi.org/10.3390/e23020129
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author Agarwal, Ravi P.
Bazighifan, Omar
Ragusa, Maria Alessandra
author_facet Agarwal, Ravi P.
Bazighifan, Omar
Ragusa, Maria Alessandra
author_sort Agarwal, Ravi P.
collection PubMed
description The objective of this paper is to study oscillation of fourth-order neutral differential equation. By using Riccati substitution and comparison technique, new oscillation conditions are obtained which insure that all solutions of the studied equation are oscillatory. Our results complement some known results for neutral differential equations. An illustrative example is included.
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spelling pubmed-79089882021-02-27 Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions Agarwal, Ravi P. Bazighifan, Omar Ragusa, Maria Alessandra Entropy (Basel) Article The objective of this paper is to study oscillation of fourth-order neutral differential equation. By using Riccati substitution and comparison technique, new oscillation conditions are obtained which insure that all solutions of the studied equation are oscillatory. Our results complement some known results for neutral differential equations. An illustrative example is included. MDPI 2021-01-20 /pmc/articles/PMC7908988/ /pubmed/33498158 http://dx.doi.org/10.3390/e23020129 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
Agarwal, Ravi P.
Bazighifan, Omar
Ragusa, Maria Alessandra
Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions
title Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions
title_full Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions
title_fullStr Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions
title_full_unstemmed Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions
title_short Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions
title_sort nonlinear neutral delay differential equations of fourth-order: oscillation of solutions
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7908988/
https://www.ncbi.nlm.nih.gov/pubmed/33498158
http://dx.doi.org/10.3390/e23020129
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AT ragusamariaalessandra nonlinearneutraldelaydifferentialequationsoffourthorderoscillationofsolutions

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