# American Institute of Mathematical Sciences

July  2006, 6(4): 881-893. doi: 10.3934/dcdsb.2006.6.881

## Large deviations for stochastic systems with memory

 1 Department of Mathematics, Southern Illinois University at Carbondale, Carbondale, Illinois 62901, United States 2 School of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, England, United Kingdom

Received  February 2005 Revised  November 2005 Published  April 2006

In this paper, we develop a large deviations principle for stochastic delay equations driven by small multiplicative white noise. Both upper and lower large deviations estimates are established.
Citation: Salah-Eldin A. Mohammed, Tusheng Zhang. Large deviations for stochastic systems with memory. Discrete & Continuous Dynamical Systems - B, 2006, 6 (4) : 881-893. doi: 10.3934/dcdsb.2006.6.881
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