Linear differential equations with unbounded delays and a forcing term
type: Item
instance of: scholarly article
title: Linear differential equations with unbounded delays and a forcing term
zbMATH Open document ID: 1066.34078
DOI: 10.1155/S1085337504306020
author: Jan Čermák
author: Petr Kundrát
published in: Abstract and Applied Analysis
publication date: 2005-04-29T00:00:00Z
full work available at URL: https://eudml.org/doc/51445
review text: Summary: The paper discusses the asymptotic behaviour of all solutions of the differential equation \[ \dot y(t)= -a(t)y(t)+ \sum^n_{i=1} b_i(t) y(\tau_i(t))+ f(t),\;t\in I= [t_0,\infty), \] with a positive continuous function \(a\), continuous functions \(b_i\), \(f\), and \(n\) continuously differentiable unbounded lags. We establish conditions under which any solution y of this equation can be estimated by means of a solution of an auxiliary functional equation with one unbounded lag. Moreover, some related questions concerning functional equations are discussed as well.
Mathematics Subject Classification ID: 34K25
zbMATH DE Number: 2163656
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2163656