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Local existence-uniqueness and continuation of solutions for delay stochastic evolution equations
Authors:Hanwen Ning
Institution:School of Mathematics and Statistics, Huazhong University of Science and Technology , Wuhan 430074, Hubei, P. R. China
Abstract:In this article, we consider dynamic behaviours of a class of non-linear delay stochastic evolution equations. Local existence and uniqueness of the solutions are obtained with the aid of proper iterative scheme and moment estimations. We also propose a continuation result and our results generalize the known results.
Keywords:stochastic evolution equations  local existence  uniqueness  continuation
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