Asymptotic behaviour and oscillation in higher order nonlinear differential equations with retarded arguments
type: Item
instance of: scholarly article
title: Asymptotic behaviour and oscillation in higher order nonlinear differential equations with retarded arguments
zbMATH Open document ID: 0907.34051
DOI: 10.1023/A:1006577321359
author: R. S. Dahiya
author: A. Zafer
published in: Acta Mathematica Hungarica
publication date: 1998-11-22T00:00:00Z
review text: The authors generalize some earlier results due to \textit{T. Kusano} and \textit{H. Onose} [Proc. Am. Math. Soc. 40, 219-224 (1973; Zbl 0268.34075)] concerning higher-order differential equations with delays. Thus, the asymptotic and the oscillatory behaviour of solutions to the equation \[ x^{(n)} (t)+f\bigl({t,x(t),x(g(t))}\bigr)=h(t), \] is studied under suitable regularity and growth conditions imposed on \(f\), \(g\), \(h\).
reviewed by: Jan Andres
Mathematics Subject Classification ID: 34K11
zbMATH DE Number: 1225543
zbMATH Keywords: asymptotic and oscillatory behaviour
zbMATH Keywords: higher-order equations with retarded arguments
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1225543