Title :
A Lyapunov criterion for mean square stability of nonlinear stochastic evolution equations
Author :
Florchinger, Patrick
Author_Institution :
Dept. de Math., URA CNRS, France
Abstract :
The aim of this work is to prove a Lyapunov criterion for exponential mean square stability of nonautonomous nonlinear stochastic evolution equations
Keywords :
Banach spaces; Hilbert spaces; Lyapunov methods; nonlinear differential equations; numerical stability; partial differential equations; Banach space; Hilbert space; Lyapunov criterion; exponential mean square stability; mean square stability; nonlinear stochastic evolution equations; partial differential equation; sufficient conditions; Coercive force; Differential equations; Hilbert space; Nonlinear equations; Partial differential equations; Stability criteria; Stochastic processes; Sufficient conditions;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.650684