Geodesic
Nonuniform instability for evolution families
Acta mathematica Universitatis Comenianae, Tome 81 (2012) no. 2, pp. 233-240 
R. Mueşan; R. Mueşan. Nonuniform instability for evolution families. Acta mathematica Universitatis Comenianae, Tome 81 (2012) no. 2, pp. 233-240. http://geodesic.mathdoc.fr/item/AMUC_2012_81_2_a10/
@article{AMUC_2012_81_2_a10,
     author = {R. Mue\c{s}an and R. Mue\c{s}an},
     title = { Nonuniform instability for evolution families},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {233--240},
     year = {2012},
     volume = {81},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2012_81_2_a10/}
}
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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.