Exponential stability of linear stochastic differential equations with bounded delay and the W-transform

We demonstrate how the method of auxiliary ('reference') equations, also known as N. V. Azbelev's W-transform method, can be used to derive efficient conditions for the exponential Lyapunov stability of linear delay equations driven by a vector-valued Wiener process. For the sake of c...

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Bibliographic Details
Main Authors: R. I. Kadiev, Arkadi Ponosov
Format: Article
Language:English
Published: University of Szeged 2008-07-01
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=337