On uniform polynomial splitting of variational nonautonomous difference equations in Banach spaces
, , and | Dec 24, 2022
About this article
Published Online: Dec 24, 2022
Page range: 22 - 37
DOI: https://doi.org/10.2478/awutm-2022-0014
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© 2022 Larisa Elena Biriş et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
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.