Le Duc Nhien, Nguyen Huu Du, Le Huy Tien, Nguyen Trong Hieu
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Abstract
This paper is concerned with the tempered exponential dichotomy for random differential systems in Banach spaces. Based on the presentation of bounded solutions for a tempered exponential dichotomous system, we give a bound under which the tempered exponentially dichotomous property of perturbed systems is preserved. Some applications of our results to stochastic partial differential equations are considered.
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