Representations of mild solutions of time-varying linear stochastic equations and the exponential stability of periodic systems

The main object of this paper is to give a representation of the covariance operator associated to the mild solutions of time-varying,linear, stochastic equations in Hilbert spaces. We use this representation to obtain a characterization of the uniform exponential stability of linear stochastic equa...

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Bibliographic Details
Main Author: V. M. Ungureanu
Format: Article
Language:English
Published: University of Szeged 2004-02-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=178