An improved approach for studying oscillation of second-order neutral delay differential equations

The paper is devoted to the study of oscillation of solutions to a class of second-order half-linear neutral differential equations with delayed arguments. New oscillation criteria are established, and they essentially improve the well-known results reported in the literature, including those for no...

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Autores principales: Grace, Said R., Džurina, Jozef, Jadlovská, Irena, Li, Tongxing
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6063344/
https://www.ncbi.nlm.nih.gov/pubmed/30137921
http://dx.doi.org/10.1186/s13660-018-1767-y
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author Grace, Said R.
Džurina, Jozef
Jadlovská, Irena
Li, Tongxing
author_facet Grace, Said R.
Džurina, Jozef
Jadlovská, Irena
Li, Tongxing
author_sort Grace, Said R.
collection PubMed
description The paper is devoted to the study of oscillation of solutions to a class of second-order half-linear neutral differential equations with delayed arguments. New oscillation criteria are established, and they essentially improve the well-known results reported in the literature, including those for non-neutral differential equations. The adopted approach refines the classical Riccati transformation technique by taking into account such part of the overall impact of the delay that has been neglected in the earlier results. The effectiveness of the obtained criteria is illustrated via examples.
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spelling pubmed-60633442018-08-09 An improved approach for studying oscillation of second-order neutral delay differential equations Grace, Said R. Džurina, Jozef Jadlovská, Irena Li, Tongxing J Inequal Appl Research The paper is devoted to the study of oscillation of solutions to a class of second-order half-linear neutral differential equations with delayed arguments. New oscillation criteria are established, and they essentially improve the well-known results reported in the literature, including those for non-neutral differential equations. The adopted approach refines the classical Riccati transformation technique by taking into account such part of the overall impact of the delay that has been neglected in the earlier results. The effectiveness of the obtained criteria is illustrated via examples. Springer International Publishing 2018-07-27 2018 /pmc/articles/PMC6063344/ /pubmed/30137921 http://dx.doi.org/10.1186/s13660-018-1767-y Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Grace, Said R.
Džurina, Jozef
Jadlovská, Irena
Li, Tongxing
An improved approach for studying oscillation of second-order neutral delay differential equations
title An improved approach for studying oscillation of second-order neutral delay differential equations
title_full An improved approach for studying oscillation of second-order neutral delay differential equations
title_fullStr An improved approach for studying oscillation of second-order neutral delay differential equations
title_full_unstemmed An improved approach for studying oscillation of second-order neutral delay differential equations
title_short An improved approach for studying oscillation of second-order neutral delay differential equations
title_sort improved approach for studying oscillation of second-order neutral delay differential equations
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6063344/
https://www.ncbi.nlm.nih.gov/pubmed/30137921
http://dx.doi.org/10.1186/s13660-018-1767-y
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