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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...

The stochastic stability of differential equations has become a very popular subject of research in mathematics and engineering. This volume provides a foundation for students in graduate courses in mathematics and its applications. It offers readers important new results on the moment Lyapunov exponent, stability index and some other fields.