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Nonuniform instability for evolution families

Author(s): R. Mueşan

Journal: Acta Mathematica Universitatis Comenianae
ISSN 0862-9544

Volume: LXXXI;
Issue: 2;
Start page: 233;
Date: 2012;
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Keywords: Evolutionary process | nonuniform instability | Perron problem

The aim of this paper is to study the relationship between the notions of nonuniform exponential instability for evolutionary processes and admissibility of the pair of spaces (C00( R+, X),C(R+, X)). The evolutionary processes considered are the most general in the sense that they do not require uniform or nonuniform growth. A necessary condition for expansiveness of the evolutionary processes is given.
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