On approximate solution of stochastic delay evolution equation in infinite dimensions |
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Authors: | Kai Liu |
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Institution: | Department of Statistics and Modelling Science , University of Strathclyde , Glasgow Gl 1XH, Scotland, UK |
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Abstract: | In 6] 7], the coefficients of given equation are supposed to be Lipschitz continuity or to be a bit weaker than Lipschitz continuity for establishing existence and uniqueness of the solution. In this paper, we show that, under the assumption of so-called pathwise uniqueness to the equation, a weaker restriction to coefficients than these mentioned above will recapture the convergence of Carathéodory approximation of the equation in the strong sense. |
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