On uniform logarithmic dichotomy of discrete skew-evolution semiflows-Reference-Cited by-同舟云学术

On uniform logarithmic dichotomy of discrete skew-evolution semiflows

Published:2022-12-01 Issue:2 Volume:58 Page:49-55
ISSN:1841-3307
Container-title:Annals of West University of Timisoara - Mathematics and Computer Science
language:en
Short-container-title:

Author:

Mihiţ Claudia Luminiţa¹

Affiliation:

1. Department of Mathematics and Computer Science , “Aurel Vlaicu” University of Arad , Elena Drăgoi Street, no. 2, 310330 Arad , Romania

Abstract

Abstract The paper considers two notions of logarithmic dichotomy for discrete skew-evolution semiflows in Banach spaces. We establish the relation between them, we give a characterization for the uniform logarithmic dichotomy of Zabczyk type and a sufficient criteria for the uniform logarithmic dichotomy.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/awutm-2022-0016

Reference23 articles.

1. [1] L. E. Biriş, T. Ceauşu, C. L. Mihiţ, On uniform exponential splitting of variational nonautonomous difference equations in Banach spaces, Difference equations, discrete dynamical systems and applications, 199–213, Springer Proc. Math. Stat., 287, Springer, Cham, 2019.10.1007/978-3-030-20016-9_7

2. [2] L. Biriş, M. Megan, On a concept of exponential dichotomy for cocycles of linear operators in Banach spaces, Bull. Math. Soc. Sci. Math. Roumanie 59 (107), No. 3 (2016), 217–223.

3. [3] R. Boruga (Toma), M. Megan, Datko type characterizations for nonuniform polynomial dichotomy, Carpathian J. Math. 37 (1), (2021), 45–51.10.37193/CJM.2021.01.05

4. [4] D. Dragičević, A. L. Sasu, B. Sasu, On polynomial dichotomies of discrete nonautonomous systems on the half-line, Carpathian J. Math. 38 (2022), 663–680.10.37193/CJM.2022.03.12

5. [5] A. Găină, M. Megan, C. F. Popa, Uniform dichotomy concepts for discrete-time skew evolution cocycles in Banach spaces, Mathematics 2021, 9, 2177.10.3390/math9172177