Exponential Instability of Skew-Evolution Semiflows in Banach Spaces

Mihail Megan (1) , Codruta Stoica (2)

1 UVT - Faculte de Mathematiques
2 IMB - Institut de Mathématiques de Bordeaux

This paper emphasizes a couple of characterizations for the exponential instability property of skew-evolution semiflows in Banach spaces, defined by means of evolution semiflows and evolution cocycles. Some Datko type results for this asymptotic behavior are proved. There is provided a unified treatment for the uniform case.

Mots clés: Evolution semiflow; evolution cocycle; skew-evolution semiflow; instability; exponential instability; integral instability

Domaines: Analyse classique [math.CA]

Mihail Megan, Codruta Stoica. Exponential Instability of Skew-Evolution Semiflows in Banach Spaces. Studia Universitatis Babes-Bolyai, Seria Mathematica, 2008, LIII (1), pp.17-24. ⟨hal-00283213⟩