Variationally stable differential systems
type: Item
instance of: scholarly article
title: Variationally stable differential systems
zbMATH Open document ID: 0727.34038
DOI: 10.1016/0022-247X(90)90255-E
author: Manuel Pinto
published in: Journal of Mathematical Analysis and Applications
publication date: 1990-01-01T00:00:00Z
review text: The author studies the stability of the perturbed system \(y'=f(t,y)+g(t,y)\) knowing the stability of the variational system \(z'=f_ x(t,x(t,t_ 0,x_ 0))z\). It is assumed that \(| g(t,y)| \leq \sum^{p}_{i=1}\lambda_ i(t)\omega_ i(| y|)\), where \(\lambda_ i\) are continuous, \(\omega_ i\) are nondecreasing and positive on (0,\(\infty)\) such that \(1/\omega_ i\not\in L_ 1((0,1])\) and \(\omega_{i+1}/\omega_ i\) are nondecreasing functions on (0,\(\infty)\).
Mathematics Subject Classification ID: 34D10
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 4200648
zbMATH Keywords: Lipschitz stability
zbMATH Keywords: perturbed system
zbMATH Keywords: variational system
MaRDI profile type: Publication
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cites work: Stability of nonlinear differential systems*
full work available at URL: 0022-247x(90)90255-e
OpenAlex ID: W1992485214
description: scientific article; zbMATH DE number 4200648