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

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

doi:10.2478/awutm-2022-0014

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

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 58 (2022): Issue 2 (December 2022)

By: Larisa Elena Biriş, Traian Ceauşu, Ioan-Lucian Popa and Nicolae Seimeanu

Open Access

|Dec 2022

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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Articles in this issue

DOI: https://doi.org/10.2478/awutm-2022-0014 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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Language: English

Page range: 22 - 37

Published on: Dec 24, 2022

Published by: West University of Timisoara

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

Discrete cocycle,

uniform polynomial splitting,

Lyapunov function

Related subjects:

Mathematics,

General mathematics

© 2022 Larisa Elena Biriş, Traian Ceauşu, Ioan-Lucian Popa, Nicolae Seimeanu, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 58 (2022): Issue 2 (December 2022)