Asymptotic behavior of certain delay differential equations with forcing term.
type: Item
instance of: scholarly article
title: Asymptotic behavior of certain delay differential equations with forcing term.
zbMATH Open document ID: 1048.34129
DOI: 10.1016/S0022-247X(03)00060-X
author: Yuji Liu
author: Weigao Ge
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-05-27T00:00:00Z
review text: The authors study the asymptotic behavior of solutions to the forced delay differential equation \[ x'(t)= -p(t) f(t-\tau))+ r(t),\quad t\geq 0, \] where \(p\in C([0,\infty), (0,\infty))\), \(r\in C([0,\infty),\mathbb{R})\), \(\tau> 0\) and \(f: \mathbb{R}\to \mathbb{R}\) is increasing. Some sufficient conditions that guarantee every solution of the equation to converge to zero are obtained. The results are applied to some well-known ecological delay differential equations.
Mathematics Subject Classification ID: 34K25
Mathematics Subject Classification ID: 34K60
zbMATH DE Number: 1917778
zbMATH Keywords: Asymptotic behavior
zbMATH Keywords: Delay differential equation
zbMATH Keywords: Oscillation
reviewed by: Bolis Basit
MaRDI profile type: Publication
cites work: Q4764723
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full work available at URL: s0022-247x(03)00060-x
OpenAlex ID: W1999970053
description: scientific article; zbMATH DE number 1917778