Differential inequalities for delay differential equations with piecewise constant argument
type: Item
instance of: scholarly article
title: Differential inequalities for delay differential equations with piecewise constant argument
zbMATH Open document ID: 0629.34074
DOI: 10.1016/0096-3003(87)90083-X
author: A. R. Aftabizadeh
author: Joseph Wiener
published in: Applied Mathematics and Computation
publication date: 1987-01-01T00:00:00Z
review text: This paper continues the investigation of differential equations with piecewise constant argument using differential inequalities. The monotone method is used to prove the existence of minimal and maximal solutions for the delay differential equations of the form \(x'(t)=f(t,x(t),x([t]))\), \(x(0)=C_ 0\).
Mathematics Subject Classification ID: 34K99
zbMATH DE Number: 4023791
zbMATH Keywords: minimal solution
zbMATH Keywords: piecewise constant argument
zbMATH Keywords: differential inequalities
zbMATH Keywords: monotone method
zbMATH Keywords: maximal solutions
MaRDI profile type: Publication
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cites work: Retarded differential equations with piecewise constant delays
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full work available at URL: 0096-3003(87)90083-x
OpenAlex ID: W2013151342
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description: scientific article; zbMATH DE number 4023791