Asymptotic dichotomy in a class of higher order nonlinear delay differential equations

Employing a generalized Riccati transformation and integral averaging technique, we show that all solutions of the higher order nonlinear delay differential equation [Formula: see text] will converge to zero or oscillate, under some conditions listed in the theorems of the present paper. Several exa...

Descripción completa

Detalles Bibliográficos
Autores principales: Ye, Yunhua, Liang, Haihua
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2019
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6323112/
https://www.ncbi.nlm.nih.gov/pubmed/30679896
http://dx.doi.org/10.1186/s13660-018-1949-7
_version_ 1783385694741200896
author Ye, Yunhua
Liang, Haihua
author_facet Ye, Yunhua
Liang, Haihua
author_sort Ye, Yunhua
collection PubMed
description Employing a generalized Riccati transformation and integral averaging technique, we show that all solutions of the higher order nonlinear delay differential equation [Formula: see text] will converge to zero or oscillate, under some conditions listed in the theorems of the present paper. Several examples are also given to illustrate the applications of these results.
format Online
Article
Text
id pubmed-6323112
institution National Center for Biotechnology Information
language English
publishDate 2019
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-63231122019-01-22 Asymptotic dichotomy in a class of higher order nonlinear delay differential equations Ye, Yunhua Liang, Haihua J Inequal Appl Research Employing a generalized Riccati transformation and integral averaging technique, we show that all solutions of the higher order nonlinear delay differential equation [Formula: see text] will converge to zero or oscillate, under some conditions listed in the theorems of the present paper. Several examples are also given to illustrate the applications of these results. Springer International Publishing 2019-01-07 2019 /pmc/articles/PMC6323112/ /pubmed/30679896 http://dx.doi.org/10.1186/s13660-018-1949-7 Text en © The Author(s) 2019 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
Ye, Yunhua
Liang, Haihua
Asymptotic dichotomy in a class of higher order nonlinear delay differential equations
title Asymptotic dichotomy in a class of higher order nonlinear delay differential equations
title_full Asymptotic dichotomy in a class of higher order nonlinear delay differential equations
title_fullStr Asymptotic dichotomy in a class of higher order nonlinear delay differential equations
title_full_unstemmed Asymptotic dichotomy in a class of higher order nonlinear delay differential equations
title_short Asymptotic dichotomy in a class of higher order nonlinear delay differential equations
title_sort asymptotic dichotomy in a class of higher order nonlinear delay differential equations
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6323112/
https://www.ncbi.nlm.nih.gov/pubmed/30679896
http://dx.doi.org/10.1186/s13660-018-1949-7
work_keys_str_mv AT yeyunhua asymptoticdichotomyinaclassofhigherordernonlineardelaydifferentialequations
AT lianghaihua asymptoticdichotomyinaclassofhigherordernonlineardelaydifferentialequations

Ejemplares similares