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MATHEMATICA BOHEMICA, Vol. 129, No. 3, pp. 225-243 (2004)
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Exponential stability and exponential instability for linear skew-product flows

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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

**Full text of the article:**

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