Existence theorem of periodic solutions for a delay nonlinear differential equation with piecewise constant arguments
type: Item
instance of: scholarly article
title: Existence theorem of periodic solutions for a delay nonlinear differential equation with piecewise constant arguments
zbMATH Open document ID: 1071.34071
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-11-23T00:00:00Z
review text: The author considers a first-order delay differential equation with piecewise constant argument. Criteria for the existence of periodic solutions of the equation are offered by using Mawhin's continuation theorem.
Mathematics Subject Classification ID: 34K13
zbMATH DE Number: 2117743
zbMATH Keywords: delay differential equation
zbMATH Keywords: piecewise constant argument
zbMATH Keywords: periodic solution
author: Gen-Qiang Wang
reviewed by: Mingshu Peng
MaRDI profile type: Publication
Wikidata QID: Q115346356
full work available at URL: j.jmaa.2004.05.016
OpenAlex ID: W2065732144
cites work: Retarded differential equations with piecewise constant delays
cites work: Advanced differential equations with piecewise constant argument deviations
cites work: Oscillatory and Periodic Solutions of Delay Differential Equations with Piecewise Constant Argument
cites work: Q3657815
cites work: An Equation Alternately of Retarded and Advanced Type
cites work: Differential equations alternately of retarded and advanced type
cites work: Partial differential equations with piecewise constant delay
cites work: A parabolic differential equation with unbounded piecewise constant delay
cites work: On a logistic equation with piecewise constant arguments
cites work: Oscillatory and asymptotic behaviour of first order nonlinear differential equations with retarded argument \([t]\)
cites work: Existence stability and oscillation of the solutions of first order neutral delay differential equations with piecewise constant argument
cites work: Oscillatory and nonoscillatory delay equations with piecewise constant argument
cites work: Oscillatory and periodic solutions to a diffusion equation of neutral type
cites work: A nonlinear equation with piecewise continuous argument
cites work: Ordinary differential equations with nonlinear boundary conditions
cites work: Q3137926
DOI: 10.1016/J.JMAA.2004.05.016
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description: scientific article; zbMATH DE number 2117743