%0 Journal Article %T Nonuniform instability for evolution families %A R. Mue an %J ACTA MATHEMATICA UNIVERSITATIS COMENIANAE %D 2012 %I Acta Mathematica Universitatis Comenianae %X 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. %K evolutionary process %K nonuniform instability %K Perron problem %U http://www.emis.de/journals/AMUC/_vol-81/_no_2/_muresan/muresan.html