Asymptotic estimation for some nonlinear delay differential equations
type: Item
instance of: scholarly article
title: Asymptotic estimation for some nonlinear delay differential equations
zbMATH Open document ID: 1172.34050
author: Jan Čermák
author: Stanislava Dvořáková
published in: Results in Mathematics
publication date: 2008-06-10T00:00:00Z
review text: Asymptotic properties of solutions of the nonlinear delay differential equation \[ y'(t)+a(t)y(t)= f(t,y(\tau(t))), \quad t\in I= [t_0,\infty) \tag{*} \] are investigated, where \(a,f\) are continuous functions on \(I\) and \(I\times {\mathbb R}\) respectively, \(\tau\) is a real continuous, increasing and unbounded function on \(I\) such that \(\tau (t) < t\) for all \(t> t_0\) and \(\tau (t_0) \leq t_0\). Under further assumptions on the growth of \(f\), some comparison results are obtained and applied to particular cases of (*).
Mathematics Subject Classification ID: 34K25
Mathematics Subject Classification ID: 34K12
zbMATH DE Number: 5285864
zbMATH Keywords: nonlinear delay differential equation
zbMATH Keywords: functional equation
zbMATH Keywords: functional inequality
zbMATH Keywords: asymptotic behaviour
reviewed by: Bolis Basit
MaRDI profile type: Publication
full work available at URL: s00025-007-0270-4
OpenAlex ID: W1982242872
DOI: 10.1007/S00025-007-0270-4
description: scientific article; zbMATH DE number 5285864