Periodic boundary value problem for the first order impulsive functional differential equations
type: Item
instance of: scholarly article
title: Periodic boundary value problem for the first order impulsive functional differential equations
zbMATH Open document ID: 1123.34050
author: Ruixi Liang
author: Jianhua Shen
published in: Journal of Computational and Applied Mathematics
publication date: 2007-04-13T00:00:00Z
review text: Assuming the existence of a lower solution \(\alpha\) and an upper solution \(\beta\) such that \(\alpha\leq\beta\) with the usual order, the monotone iterative technique is used to show that the periodic boundary value problem for a class of first-order differential equations with delay and impulses has the minimal and the maximal solutions in \([\alpha,\beta]\). For it, a new comparison result is proved.
reviewed by: Eduardo Liz
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 34K07
Mathematics Subject Classification ID: 34K45
zbMATH DE Number: 5142313
zbMATH Keywords: functional differential equation with impulses
zbMATH Keywords: upper and lower solutions
zbMATH Keywords: monotone iterative technique
zbMATH Keywords: periodic boundary value problem
MaRDI profile type: Publication
full work available at URL: j.cam.2006.03.017
OpenAlex ID: W2075863139
cites work: Q4280625
cites work: Periodic boundary value problem for the second order impulsive functional differential equations
cites work: Periodic boundary value problem for first-order impulsive functional differential equations
cites work: Monotone-iterative method of V. Lakshmikantham for a periodic boundary value problem for a class of differential equations with ``Supremum''
cites work: Q3995625
cites work: Remarks on periodic boundary value problems for functional differential equations.
cites work: Existence and approximation of solutions for nonlinear functional differential equations with periodic boundary value conditions
cites work: Q4544083
DOI: 10.1016/J.CAM.2006.03.017
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description: scientific article; zbMATH DE number 5142313