On Exponential Stability for Skew-Evolution Semiflows on Banach Spaces
Classical Analysis and ODEs
2008-12-18 v1
Abstract
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.
Cite
@article{arxiv.0804.1479,
title = {On Exponential Stability for Skew-Evolution Semiflows on Banach Spaces},
author = {Codruta Stoica},
journal= {arXiv preprint arXiv:0804.1479},
year = {2008}
}