Polynomial Stability and Polynomial Instability for Skew-Evolution Semiflows
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DOI: 10.1007/s00025-019-1099-3
Abstract: In this paper, we give characterizations for a polynomial stability of skew-evolution semiflows, using Banach spaces of sequences or functions. We obtain variants of some theorems due to Datko, for the case of a polynomial… read more here.
Keywords: evolution semiflows; polynomial stability; skew evolution; stability ... See more keywords
Nonuniform Dichotomy with Growth Rates of Skew-Evolution Cocycles in Banach Spaces
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DOI: 10.3390/axioms12040394
Abstract: 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… read more here.
Keywords: evolution cocycles; growth rates; dichotomy growth; nonuniform dichotomy ... See more keywords