Instabilit\'{e} des cocycles d'\'{e}volution fortement mesurables dans des espaces de Banach

Codru\c{t}a Stoica (1)

1 IMB - Institut de Mathématiques de Bordeaux

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.

Mots clés: cocycle d'\'{e}volution fortement mesurable; d\'{e}croissance exponentielle; instabilit\'{e} exponentielle; instabilit\'{e} int\'{e}grale

Domaines: Analyse classique [math.CA]; Systèmes dynamiques [math.DS]

Codru\c{t}a Stoica. Instabilit\'{e} des cocycles d'\'{e}volution fortement mesurables dans des espaces de Banach. 2008. ⟨hal-00212041⟩