Monotone iterative method for differential equations with piecewise constant arguments
type: Item
instance of: scholarly article
title: Monotone iterative method for differential equations with piecewise constant arguments
zbMATH Open document ID: 0978.65067
author: Fengqin Zhang
author: Almin Zhao
author: Jurang Yan
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2000-05-01T00:00:00Z
full work available at URL: https://eudml.org/doc/48913
review text: Periodic boundary value problems for differential equations with piecewise constant arguments are considered. Such equations are closely related to impulse and loaded equations and, especially, to difference equations of a discrete argument. They have the structure of continuous dynamical systems within intervals of certain length. The method of upper and lower solutions coupled with the monotone iterative technique is used to obtain existence and approximation results.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 37M15
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 37C27
Mathematics Subject Classification ID: 65P10
zbMATH DE Number: 1416590
zbMATH Keywords: monotone iterative method
zbMATH Keywords: piecewise constant arguments
zbMATH Keywords: impulse and loaded equations
zbMATH Keywords: difference equations
zbMATH Keywords: dynamical systems
zbMATH Keywords: method of upper and lower solutions
reviewed by: Viorel Arnăutu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1416590