M. Megan†, A. Găină‡, R. Boruga (Toma)§
Abstract: The paper considers a general concept of dichotomy in Banach spaces for skew-evolution cocycles. As particular cases the properties of exponential dichotomy, polynomial dichotomy and logarithmic dichotomy are obtained. Characterizations of these concepts are presented.
MSC: 34D05; 34D09.
keywords: Skew-evolution cocycle, h-dichotomy, exponential dichotomy, polynomial dichotomy, logarithmic dichotomy.
DOI 10.56082/annalsarscimath.2023.1-2.473
†mihail.megan@gmail.com Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timisoara, V. Parvan Blv. No. 4, 300223 Timisoara, Romania
‡ariana.gaina@gmail.comDepartment of Mathematics, Faculty of Mathematics and Computer Science, West University of Timisoara, V. Parvan Blv. No. 4, 300223 Timisoara, Romania
§rovanaboruga@gmail.com Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timisoara, V. Parvan Blv. No. 4, 300223 Timisoara, Romania
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 15 no 1-2, 2023
