ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. 70, 2 (2001)
pp. 229-240
PERRON CONDITIONS AND UNIFORM EXPONENTIAL
STABILITY OF LINEAR SKEW-PRODUCT SEMIFLOWS
ON LOCALLY COMPACT SPACES
M. Megan, A. L. Sasu and B. Sasu
Abstract.
The aim of this paper is to give necessary and
sufficient conditions for uniform exponential stability
of linear skew-product semiflows on locally compact metric spaces with
Banach fibers. Thus, there are obtained generalizations of some theorems due to
Datko, Neerven, Clark, Latushkin, Montgomery-Smith, Randolph, van Minh,
Rabiger and Schnaubelt.
AMS subject classification.
Primary 34D05, 35B40, 93D05
Keywords.
Uniform exponential stability, linear skew-product semiflow
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