MATHEMATICA BOHEMICA, Vol. 129, No. 3, pp. 225-243 (2004)

Exponential stability and exponential instability for linear skew-product flows

Mihail Megan, Adina Luminita Sasu, Bogdan Sasu

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 (MSC2000): 34D05, 34E05

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