Stability property and phase space
type: Item
instance of: scholarly article
title: Stability property and phase space
zbMATH Open document ID: 0836.34082
author: Junji Kato
published in: Rocky Mountain Journal of Mathematics
publication date: 1995-09-17T00:00:00Z
review text: The stability concepts for the functional differential equations with infinite delay depend on the metrics of the phase spaces where the right- hand sides of the equations are defined. The paper clarifies the relationship between certain metrics and gives a unified aspect on the stability concepts by allowing more flexibility in the choice of the phase space. Consequences for the Lyapunov second method are formulated, too. The very nice theory contains some earlier results as corollaries.
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 796924
zbMATH Keywords: stability
zbMATH Keywords: functional differential equations with infinite delay
zbMATH Keywords: Lyapunov second method
reviewed by: László Hatvani
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181072286
OpenAlex ID: W2079750575
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DOI: 10.1216/RMJM/1181072286
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description: scientific article; zbMATH DE number 796924