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

Biriş, Larisa Elena; Ceauşu, Traian; Popa, Ioan-Lucian; Seimeanu, Nicolae

doi:10.2478/awutm-2022-0014

Abstract

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.

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

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