Oscillation of solutions of second-order neutral delay differential equations with integrable coefficients
type: Item
instance of: scholarly article
title: Oscillation of solutions of second-order neutral delay differential equations with integrable coefficients
zbMATH Open document ID: 0882.34077
DOI: 10.1016/S0895-7177(97)00016-2
author: Horng-Jaan Li
published in: Mathematical and Computer Modelling
publication date: 1998-02-03T00:00:00Z
review text: The equation considered is \[ \bigl(a(t)[x(t)+p(t)x(t-\tau)]'\bigr)'+ q(t)f[x(t-\sigma)]=0,\;t\geq t_0,\tag{1} \] where \(\tau,\sigma>0\), \(a,p,q\in C([t_0,\infty),{\mathbb{R}})\), \(0\leq p(t)\leq 1\), \(q(t)\geq 0\), \(a(t)>0\), \(\int^{\infty}[a(t)]^{-1}dt=\infty\), \(f\in C({\mathbb{R}},{\mathbb{R}})\), \(f(x)/x\geq\gamma>0\) for all \(x\neq0\). Necessary conditions for nonoscillation of solutions of (1) are given. Some oscillation criteria for this equation are obtained.
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 34K11
zbMATH DE Number: 1067200
zbMATH Keywords: oscillations of solutions
zbMATH Keywords: neutral delay equations
zbMATH Keywords: nonlinear second order delay equations
reviewed by: R. R. Akhmerov
MaRDI profile type: Publication
cites work: Q3860165
cites work: Q3704251
cites work: Q4000352
cites work: Oscillations of Second Order Neutral Differential Equations
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cites work: Leighton Type Oscillation Criterion and Sturm Type Comparison Theorem
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cites work: A Note on an Oscillation Criterion for an Equation with a Functional Argument
full work available at URL: s0895-7177(97)00016-2
OpenAlex ID: W2055485402
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description: scientific article; zbMATH DE number 1067200