Exponential stability and exponential instability for linear skew-product flows

Megan, Mihail ; Sasu, Adina Luminiţa ; Sasu, Bogdan

Mathematica Bohemica, Tome 129 (2004) no. 3, pp. 225-243

Abstract (VO)

We give characterizations for uniform exponential stability and uniform exponential instability of linear skew-product flows in terms of Banach sequence spaces and Banach function spaces, respectively. We present a unified approach for uniform exponential stability and uniform exponential instability of linear skew-product flows, extending some stability theorems due to Neerven, Datko, Zabczyk and Rolewicz.

Détail

DOI : 10.21136/MB.2004.134146

Classification : 34D05, 34D09, 34E05, 34G20, 37C75, 47D06
Keywords: linear skew-product flow; uniform exponential stability; uniform exponential instability

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