On the asymptotic behavior of mixed monotone nonlinear delay differential equations of 1st order
type: Item
instance of: scholarly article
title: On the asymptotic behavior of mixed monotone nonlinear delay differential equations of 1st order
zbMATH Open document ID: 1027.34082
DOI: 10.1007/PL00012609
author: Takashi Amemiya
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2003-05-04T00:00:00Z
review text: So far a necessary and sufficient condition for the global asymptotic stability of linear mixed monotone delayed differential equations with time varying delay has been presented. However, several basic tools utilized for that proof are not restricted to linear functions. Here, it is proved that similar results are obtained for global asymptotic properties of nonlinear delay differential equation with analogous properties.
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 1903741
zbMATH Keywords: differential equation
zbMATH Keywords: time varying delay
zbMATH Keywords: nonlinear function
zbMATH Keywords: first order
zbMATH Keywords: mixed monotone
MaRDI profile type: Publication
full work available at URL: pl00012609
OpenAlex ID: W2048793145
description: scientific article; zbMATH DE number 1903741