On Exponential Stability for Skew-Evolution Semiflows on Banach Spaces

Details On Exponential Stability for Skew-Evolution Semiflows on Banach Spaces On Exponential Stability for Skew-Evolution Semiflows on Banach Spaces

2008-04-09

arxiv.org/abs/0804.1479v1

Mathematics

Classical Analysis and ODEs

Scientific paper

The paper emphasizes the property of stability for skew-evolution semiflows on Banach spaces, defined by means of evolution semiflows and evolution cocycles and which generalize the concept introduced by us in a previous paper. There are presented several general characterizations of this asymptotic property out of which can be deduced well known results of the stability theory. A unified treatment in the uniform and in the nonuniform setting is given. The main results are also formulated in discrete time.

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