\(L^ 2\)-perturbation of a linear delay differential equation
type: Item
instance of: scholarly article
title: \(L^ 2\)-perturbation of a linear delay differential equation
zbMATH Open document ID: 0853.34070
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-03-31T00:00:00Z
review text: An asymptotic formula for the nonautonomous delay differential equation \(\dot x(t) - (a_0 + a(t)) x(t) + (b_0 + b(t)) x(t - \tau)\) is obtained assuming that the equation is an \(L^2\)-perturbation of the autonomous equation \(\dot x(t) = a_0 x(t) + b_0 x(t - \tau)\). The result obtained is an essential generalization of the corresponding result in the classical book by R. Bellman and K. L. Cooke.
reviewed by: Zhicheng Wang
Mathematics Subject Classification ID: 34K25
zbMATH DE Number: 861772
zbMATH Keywords: asymptotic formula
zbMATH Keywords: nonautonomous delay differential equation
author: István Győri
author: Mihály Pituk
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1364
OpenAlex ID: W2022900223
Wikidata QID: Q115395421
DOI: 10.1006/JMAA.1995.1364
description: scientific article; zbMATH DE number 861772