Oscillation of solutions of neutral delay differential equations
type: Item
instance of: scholarly article
title: Oscillation of solutions of neutral delay differential equations
zbMATH Open document ID: 0971.34057
DOI: 10.1016/S0895-7177(00)00157-6
author: K. A. Dib
author: Ronald M. Mathsen
published in: Mathematical and Computer Modelling
publication date: 2001-03-19T00:00:00Z
review text: Here, the first-order neutral equation \[ \biggl(x(t)-p(t)x \bigl(g(t)\bigr) \biggr)'+Q(t)x \bigl(h(t) \bigr)=0\tag{1} \] is considered, with \(P,Q\in C([a,\infty); \mathbb{R}^+)\); \(g,h\in C([a,\infty), \mathbb{R})\), \(\lim_{t\to \infty} g(t)=\lim_{t\to\infty} h(t)=\infty\), \(g(t)<t\), where \(t\in [a,\infty)\). Sufficient conditions for the oscillation of all solutions to (1) are established.
Mathematics Subject Classification ID: 34K11
Mathematics Subject Classification ID: 34K40
zbMATH DE Number: 1545780
zbMATH Keywords: first-order neutral equation
zbMATH Keywords: oscillation
zbMATH Keywords: solutions
reviewed by: Roman Koplatadze
MaRDI profile type: Publication
cites work: Q4000352
cites work: Oscillations of first order neutral differential equations with variable coefficients
cites work: Oscillation of neutral delay differential equations
cites work: Oscillation of first order neutral differential equations
cites work: New oscillation criteria for odd order neutral equations
cites work: Q4878993
cites work: Oscillation and asymptotic behavior of neutral differential equations with deviating arguments
description: scientific article; zbMATH DE number 1545780