ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 69,   1   (2000)
pp.   97-106

ON UNIFORM EXPONENTIAL STABILITY OF PERIODIC EVOLUTION OPERATORS IN BANACH SPACES
M. MEGAN, L. SASU and B. SASU


Abstract.  The aim of this paper is to obtain some discrete-time characterizations for the uniform exponential stability of periodic evolution operators in Banach spaces. We shall also obtain a discrete-time variant for Neerven's theorem using Banach sequence spaces and a new proof for Neerven's theorem.

AMS subject classification.  34D05, 34D20
Keywords.  Evolution operators, exponential stability, Banach function spaces

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