On almost oscillation of functional differential equations with deviating arguments
type: Item
instance of: scholarly article
title: On almost oscillation of functional differential equations with deviating arguments
zbMATH Open document ID: 0532.34047
DOI: 10.1016/0022-247X(84)90252-X
author: R. S. Dahiya
author: M. Naito
author: Takaši Kusano
published in: Journal of Mathematical Analysis and Applications
publication date: 1984-01-01T00:00:00Z
review text: In this paper we are particularly interested in the situation in which the differential equation with a parameter (1) \(x^{(n)}(t)\pm \lambda p(t)x(g(t))=0\) is almost oscillatory for all \(\lambda>0\). We obtain first sufficient conditions and then necessary conditions for (2) \(x^{(n)}(t)+\sigma p(t)x(g(t))=0\), \(\sigma =\pm 1\), \(n\geq 2\) to be almost oscillatory, and, finally, combine them to give, under suitable conditions on the deviating argument g(t), a characterization for the situation in which (1) is almost oscillatory for all \(\lambda>0\).
Mathematics Subject Classification ID: 34K99
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 3844188
zbMATH Keywords: almost oscillation
zbMATH Keywords: parameter
MaRDI profile type: Publication
cites work: Q4155188
cites work: Q5507879
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full work available at URL: 0022-247x(84)90252-x
OpenAlex ID: W1971631567
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description: scientific article; zbMATH DE number 3844188