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

Kovács Monteola Ilona, Megan Mihail, Mihiţ Claudia Luminiţa

Annals of the West University of Timisoara: Mathematics and Computer Science · 2014

doi:10.2478/awutm-2014-0015 (opens in a new tab)

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Abstract

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.

Abstract licence: CC BY-NC-ND

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