New nonoscillation criteria for delay differential equations.
type: Item
instance of: scholarly article
title: New nonoscillation criteria for delay differential equations.
zbMATH Open document ID: 1055.34128
DOI: 10.1016/S0022-247X(03)00486-4
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-03-14T00:00:00Z
review text: The authors consider first-order delay differential equations of the form \[ x'(t)+p(t)x(\tau(t))=0,\quad t\geq t_0, \] where \(p, \tau\in C([t_0, \infty), [0, \infty)), \tau(t)\) is nondecreasing, \(\tau(t)<t\) for \(t\geq t_0\) and \(\lim_{t\rightarrow\infty}\tau(t)=\infty\). When the well-known nonoscillation condition \(\int_{\tau(t)}^t p(s)\,ds\leq 1/e\) is not satisfied, some new nonoscillation conditions are obtained for the equations and they improve a number of existing results.
Mathematics Subject Classification ID: 34K11
zbMATH DE Number: 2055358
zbMATH Keywords: delay differential equation
zbMATH Keywords: nonoscillation
author: Jianhua Shen
author: X. H. Tang
reviewed by: Qiru Wang
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2055358