Oscillation behavior of solutions for even order neutral functional differential equations
type: Item
instance of: scholarly article
title: Oscillation behavior of solutions for even order neutral functional differential equations
zbMATH Open document ID: 1177.34086
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2009-07-01T00:00:00Z
review text: Consider the linear neutral functional differential equation \[ [x(t)+ \lambda ax(t+\alpha h)+\mu bx(t+\beta g)]^{(n)}=p\int^d_cx(t-\xi)\,d \xi+q\int^d_c x(t+\xi)\,d\xi,\tag{*} \] where \(\lambda=\pm 1\), \(\mu= \pm 1\), \(\alpha=\pm 1\), \(\beta=\pm 1\), \(h,g,a\) and \(b\) are nonnegative real constants, \(p\) and \(q\) are positive numbers, and \([c,d]\) is a positive interval. The author gives several different conditions on the constants such that (*) is oscillatory. He also presents some examples.
reviewed by: Klaus R. Schneider
Mathematics Subject Classification ID: 34K11
Mathematics Subject Classification ID: 34K06
Mathematics Subject Classification ID: 34K40
zbMATH DE Number: 5573942
author: T. Candan
MaRDI profile type: Publication
full work available at URL: s10483-006-1003-1
OpenAlex ID: W1994609022
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DOI: 10.1007/S10483-006-1003-1
description: scientific article; zbMATH DE number 5573942