On forward \((h,k)\) splitting for a class of noninvertible differential equations with impulse effect
type: Item
instance of: scholarly article
title: On forward \((h,k)\) splitting for a class of noninvertible differential equations with impulse effect
zbMATH Open document ID: 1125.34034
author: Julio López Fenner
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2007-06-08T00:00:00Z
review text: The author considers a class of linear differential equations with impulsive effect at a given set of times. It is shown that under general assumptions on the existence of forward solutions, a splitting can be given in terms of an \((h,k)\) forward dichotomy, which generalizes the hyperbolicity notion for dynamical systems.
reviewed by: S. Siegmund
Mathematics Subject Classification ID: 34D09
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34D08
zbMATH DE Number: 5162706
zbMATH Keywords: impulsive differential equations
zbMATH Keywords: dichotomies
zbMATH Keywords: noninvertibility
zbMATH Keywords: splitting
MaRDI profile type: Publication
full work available at URL: j.na.2006.07.033
OpenAlex ID: W2077060903
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DOI: 10.1016/J.NA.2006.07.033
description: scientific article; zbMATH DE number 5162706