Uniform exponential stability of linear almost periodic systems in Banach spaces.
Cheban, D.N. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “Relationship between different types of stability for linear almost periodic systems in Banach spaces.”
Uniform exponential stability of linear almost periodic systems in Banach spaces.
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Les auteurs étudient la notion de prolongement au sens de T. Ura et ses relations avec la notion d’ensembles positivement invariants. La stabilité au sens de Liapounoff est équivalente à l’invariance par prolongement. Les auteurs dégagent ensuite la notion de “prolongements abstraits” et les notions de stabilité correspondantes; la stabilité absolue (associée au prolongement minimal transitif) et la stabilité asymptotique jouent un rôle important.