Existence of a nonoscillatory solution to a second-order linear neutral delay equation
type: Item
instance of: scholarly article
title: Existence of a nonoscillatory solution to a second-order linear neutral delay equation
zbMATH Open document ID: 0919.34067
author: S. Hadžiomerspahić
author: Mustafa R. S. Kulenovic
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-08-25T00:00:00Z
review text: The following neutral functional-differential equation is considered \[ {d^2\over dt^2}(x(t)+px(t-\tau)) +Q_1(t)x(t-\sigma_1) -Q_2(t)x(t-\sigma_2)=0, \] with \(p\in \mathbb{R}\), \(\tau\in(0,\infty)\), \(\sigma_1,\sigma_2\in[0,\infty)\) and \(Q_1, Q_2\in C([t_0,\infty), \mathbb{R}^+)\). Sufficient conditions for the existence of a nonoscillatory solution are obtained. They are expressed in terms of the integrals \(\int^\infty sQ_i(s) ds<\infty\), \(i=1,2\).
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 34K11
zbMATH DE Number: 1246328
zbMATH Keywords: neutral functional-differential equation
zbMATH Keywords: oscillatory solutions
reviewed by: Ivan Ginchev
MaRDI profile type: Publication
full work available at URL: jmaa.1997.6156
OpenAlex ID: W2044948440
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DOI: 10.1006/JMAA.1997.6156
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description: scientific article; zbMATH DE number 1246328