Since the publication of the first edition of the present volume in
1980, the stochastic stability of differential equations has become
a very popular subject of research in mathematics and engineering.
To date exact formulas for the Lyapunov exponent, the criteria for
the moment and almost sure stability, and for the existence of
stationary and periodic solutions of stochastic differential
equations have been widely used in the literature. In this updated
volume readers will find important new results on the moment
Lyapunov exponent, stability index and some other fields, obtained
after publication of the first edition, and a significantly
expanded bibliography. This volume provides a solid foundation for
students in graduate courses in mathematics and its applications.
It is also useful for those researchers who would like to learn
more about this subject, to start their research in this area or to
study the properties of concrete mechanical systems subjected to
random perturbations.
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