Existence results for stochastic semilinear differential inclusions with nonlocal conditions (Q655228)

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scientific article; zbMATH DE number 5994163
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Existence results for stochastic semilinear differential inclusions with nonlocal conditions
scientific article; zbMATH DE number 5994163

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    Existence results for stochastic semilinear differential inclusions with nonlocal conditions (English)
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    3 January 2012
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    Summary: We discuss existence results of mild solutions for stochastic differential inclusions subject to nonlocal conditions. We provide sufficient conditions in order to obtain a priori bounds on possible solutions of a one-parameter family of problems related to the original one. We, then, rely on fixed point theorems for multivalued operators to prove our main results.
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    existence results
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    mild solutions
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    stochastic differential inclusions
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    fixed point theorems
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