On (h; k)-Dichotomy and (h; k)-Trichotomy of Noninvertible Evolution Operators in Banach Spaces

Autor: Kovács Monteola Ilona, Megan Mihail, Mihiţ Claudia Luminiţa
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Annals of the West University of Timisoara: Mathematics and Computer Science, Vol 52, Iss 2, Pp 127-143 (2014)
Druh dokumentu: article
ISSN: 1841-3307
DOI: 10.2478/awutm-2014-0015
Popis: The paper considers some concepts of (h, k)-dichotomy and (h, k)-trichotomy for noninvertible evolution operators in Ba- nach spaces. A characterization of the (h, k)-trichotomy of an evolution operator in terms of (h, k)-dichotomy for two associated evolution operators is given. As applications of this result, charac- terizations for nonuniform exponential trichotomy and nonuniform polynomial trichotomy are obtained.
Databáze: Directory of Open Access Journals