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Multidimensional SDE with anticipating initial process and reflection

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 نشر من قبل Zongxia Liang
 تاريخ النشر 2007
  مجال البحث
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 تأليف Zongxia Liang




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In this paper, the strong solutions $ (X, L)$ of multidimensional stochastic differential equations with reflecting boundary and possible anticipating initial random variables is established. The key is to obtain some substitution formula for Stratonovich integrals via a uniform convergence of the corresponding Riemann sums and to prove continuity of functionals of $ (X, L)$.

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