Total stability of perturbed systems of differential equations
type: Item
instance of: scholarly article
title: Total stability of perturbed systems of differential equations
zbMATH Open document ID: 1053.34046
DOI: 10.1016/S0893-9659(03)90110-8
published in: Applied Mathematics Letters
publication date: 2004-06-11T00:00:00Z
review text: Theoretical connections are investigated between different notions of stability for a first-order nonlinear differential equation, possibly affected by an additive nonlinear perturbation. Using Lyapunov's method, a classification is proposed between uniform stability, Lipschitz stability and total stability, yielding a relation diagram.
reviewed by: Didier Henrion
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 2073829
zbMATH Keywords: nonlinear systems
zbMATH Keywords: stability
author: Ahmed Abo-Elmagd Soliman
MaRDI profile type: Publication
cites work: Q3943280
cites work: Q5590951
cites work: Uniformly asymptotic stability and total stability
cites work: Q5520199
cites work: Lipschitz stability of nonlinear systems of differential equations
cites work: Lipschitz stability of nonlinear systems of differential equations. II: Lyapunov functions
cites work: Q5569338
cites work: Q3940101
cites work: Vector Lyapunov functions and the technique in perturbation theory
full work available at URL: s0893-9659(03)90110-8
OpenAlex ID: W2063672516
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description: scientific article; zbMATH DE number 2073829