Mihail Megan, Adina Luminita Sasu, Bogdan Sasu, Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timisoara, Bul. V. Parvan Nr. 4, 300223-Timisoara, Romania, e-mail: megan@math.uvt.ro, sasu@math.uvt.ro, lbsasu@yahoo.com
Abstract: 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.
Keywords: linear skew-product flow, uniform exponential stability, uniform exponential instability
Classification (MSC 2000): 34D05, 34E05
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