On uniform polynomial splitting of variational nonautonomous difference equations in Banach spaces

In this paper we consider a concept of uniform polynomial splitting for a discrete cocycle over a discrete semiflow in Banach spaces. We obtain some characterizations of Datko type and also in terms of Lyapunov functions. The study is made from the point of view of the invariant projectors and also...

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Veröffentlicht in:Analele Universității din Timișoara. Seria Matematică-informatică 2022-12, Vol.58 (2), p.22-37
Hauptverfasser: Biriş, Larisa Elena, Ceauşu, Traian, Popa, Ioan-Lucian, Seimeanu, Nicolae
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Sprache:eng
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Zusammenfassung:In this paper we consider a concept of uniform polynomial splitting for a discrete cocycle over a discrete semiflow in Banach spaces. We obtain some characterizations of Datko type and also in terms of Lyapunov functions. The study is made from the point of view of the invariant projectors and also strongly invariant projectors.
ISSN:1841-3307
1841-3307
DOI:10.2478/awutm-2022-0014