Multivalued stochastic integration and backward stochastic differential inclusions (Q1281603)

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scientific article; zbMATH DE number 1268023
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Multivalued stochastic integration and backward stochastic differential inclusions
scientific article; zbMATH DE number 1268023

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    Multivalued stochastic integration and backward stochastic differential inclusions (English)
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    17 June 1999
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    Existence theorems for adapted solutions \((z,y)\) of \[ y_t\in \xi + \int^1_th(s,y(s),z(s))ds-\int^1_tz(ds)dW(s) \] are proved for multifunctions \(h\) under Lipschitz or semi-continuity conditions. Selection theorems and Picard iteration are applied.
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    stochastic inclusions
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    multivalued stochastic integration
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    stochastic backward differential inclusions
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