Stability, boundedness and controllability of solutions of measure functional differential equations
type: Item
instance of: scholarly article
title: Stability, boundedness and controllability of solutions of measure functional differential equations
zbMATH Open document ID: 1496.34004
author: F. Andrade da Silva
author: M. Federson
author: E. Toon
published in: Journal of Differential Equations
publication date: 2021-11-25T00:00:00Z
review text: In the present paper, converse Lyapunov results on uniform boundedness for the very general class of generalized differential equations are established. Relations between stability and boundedness of solutions are also obtained. Using Lyapunov techniques, asymptotic controllability is characterized as well. As the theory of measure functional differential equations is a particular case of this wide setting, corresponding theorems are derived for measure functional differential equations.
Mathematics Subject Classification ID: 34A06
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 34K05
Mathematics Subject Classification ID: 34K12
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 93B05
zbMATH DE Number: 7433262
zbMATH Keywords: uniform stability
zbMATH Keywords: boundedness of solutions
zbMATH Keywords: converse Lyapunov theorem
zbMATH Keywords: generalized ordinary differential equations
zbMATH Keywords: measure functional differential equations
zbMATH Keywords: asymptotic controllability
reviewed by: Bianca Satco
MaRDI profile type: Publication
full work available at URL: j.jde.2021.10.044
OpenAlex ID: W3212975236
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DOI: 10.1016/J.JDE.2021.10.044
description: scientific article; zbMATH DE number 7433262