Asymptotic behavior of solutions to a non-autonomous system of two-dimensional differential equations

Asymptotic behavior of solutions to a non-autonomous system of two-dimensional differential equations

This article concerns the two-dimensional Bernfeld-Haddock conjecture involving non-autonomous delay differential equations. Employing the differential inequality theory, it is shown that every bounded solution tends to a constant vector as $t\to \infty$. Numerical simulations are carried out...

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Bibliographic Details
Main Author: Songlin Xiao
Format: Article
Language:English
Published: Texas State University 2017-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Bernfeld-Haddock conjecture
non-autonomous differential equation
time-varying delay
asymptotic behavior
Online Access:http://ejde.math.txstate.edu/Volumes/2017/69/abstr.html
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spelling doaj-75ae7fc1db144755ad88d3ba08c69b482020-11-24T22:39:56ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-03-01201769,112Asymptotic behavior of solutions to a non-autonomous system of two-dimensional differential equationsSonglin Xiao0 Guangzhou Univ., Guangzhou, China This article concerns the two-dimensional Bernfeld-Haddock conjecture involving non-autonomous delay differential equations. Employing the differential inequality theory, it is shown that every bounded solution tends to a constant vector as $t\to \infty$. Numerical simulations are carried out to verify our theoretical findings.http://ejde.math.txstate.edu/Volumes/2017/69/abstr.htmlBernfeld-Haddock conjecturenon-autonomous differential equationtime-varying delayasymptotic behavior
collection DOAJ
language English
format Article
sources DOAJ
author Songlin Xiao
spellingShingle Songlin Xiao
Asymptotic behavior of solutions to a non-autonomous system of two-dimensional differential equations
Electronic Journal of Differential Equations
Bernfeld-Haddock conjecture
non-autonomous differential equation
time-varying delay
asymptotic behavior
author_facet Songlin Xiao
author_sort Songlin Xiao
title Asymptotic behavior of solutions to a non-autonomous system of two-dimensional differential equations
title_short Asymptotic behavior of solutions to a non-autonomous system of two-dimensional differential equations
title_full Asymptotic behavior of solutions to a non-autonomous system of two-dimensional differential equations
title_fullStr Asymptotic behavior of solutions to a non-autonomous system of two-dimensional differential equations
title_full_unstemmed Asymptotic behavior of solutions to a non-autonomous system of two-dimensional differential equations
title_sort asymptotic behavior of solutions to a non-autonomous system of two-dimensional differential equations
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2017-03-01
description This article concerns the two-dimensional Bernfeld-Haddock conjecture involving non-autonomous delay differential equations. Employing the differential inequality theory, it is shown that every bounded solution tends to a constant vector as $t\to \infty$. Numerical simulations are carried out to verify our theoretical findings.
topic Bernfeld-Haddock conjecture
non-autonomous differential equation
time-varying delay
asymptotic behavior
url http://ejde.math.txstate.edu/Volumes/2017/69/abstr.html
work_keys_str_mv AT songlinxiao asymptoticbehaviorofsolutionstoanonautonomoussystemoftwodimensionaldifferentialequations
_version_ 1725706813372891136

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