Nonuniform Dichotomy with Growth Rates of Skew-Evolution Cocycles in Banach Spaces

This paper presents integral charaterizations for nonuniform dichotomy with growth rates and their correspondents for the particular cases of nonuniform exponential dichotomy and nonuniform polynomial dichotomy of skew-evolution cocycles in Banach spaces. The connections between these three concepts...

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Bibliographic Details
Published in:Axioms 2023-04, Vol.12 (4), p.394
Main Authors: Găină, Ariana, Megan, Mihail, Boruga (Toma), Rovana
Format: Article
Language:English
Subjects:
Banach spaces
Control theory
Differential equations
Dynamical systems
Evolution
Mathematical research
nonuniform dichotomy with growth rates
nonuniform exponential dichotomy
nonuniform polynomial dichotomy
Polynomials
skew-evolution cocycle
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Summary:This paper presents integral charaterizations for nonuniform dichotomy with growth rates and their correspondents for the particular cases of nonuniform exponential dichotomy and nonuniform polynomial dichotomy of skew-evolution cocycles in Banach spaces. The connections between these three concepts are presented.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms12040394