Justification of the averaging method for a system of singularly perturbed differential equations with impulses
type: Item
instance of: scholarly article
title: Justification of the averaging method for a system of singularly perturbed differential equations with impulses
zbMATH Open document ID: 0581.34034
DOI: 10.1007/BF00945463
author: S. D. Milusheva
author: Drumi Bainov
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1985-01-01T00:00:00Z
review text: The averaging method is justified for the first time for systems of singularly perturbed differential equations \(\dot x(t)=X(t,t/\mu,x(t),y(t),\mu),\) \(\mu \dot y(t)=Y(t,x(t),y(t))\) with impulses, where \(x(t)\in {\mathbb{R}}^ n\), \(y(t)\in {\mathbb{R}}^ m\) and \(\mu >0\) is a small parameter.
Mathematics Subject Classification ID: 34C29
zbMATH DE Number: 3929488
zbMATH Keywords: averaging method
zbMATH Keywords: singularly perturbed differential equations
MaRDI profile type: Publication
cites work: Q5825916
cites work: Q5560446
cites work: Q5341131
cites work: On the application of the averaging method for systems of integro-differential equations of standard type with discontinuous right-hand side
cites work: Justification of the Averaging Method for a Class of Functional-Differential Equations with Impulses
description: scientific article; zbMATH DE number 3929488