2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146412The aim of the paper is to present various asymptotic behaviors of skew-evolution semiflows in Banach spaces, as exponential decay, instability, exponential in- stability and integral instability. Relations between these asymptotic properties are also given. As main results, two Datko type theorems are proved. A unified nonuniform approach is provided.8 pagesClassical Analysis and ODEsDynamical Systems93D20text