On asymptotic behaviors for linear skew-evolution semiflows in Banach spaces


Mihail MeganCodruța StoicaLarisa Buliga


Abstract

carpathian_2007_23_117_125_abstract

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carpathian_2007_23_117_125

In this paperwe define the notion of linear skew-evolution semiflowin Banach spaces. We give several characterizations of some asymptotic behaviors, as stability, instability and dichotomy. The obtained results are generalizations in the nonuniform case of some well-known results on asymptotic behaviors of linear differential equations.

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Author(s)

Buliga, Larisa, Megan, Mihail, Stoica, Codruța