Instabilité des cocycles d'évolution fortement mesurables dans des espaces de Banach

Mathematics – Classical Analysis and ODEs

Scientific paper

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8 pages

Scientific paper

The 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.

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