Existence Results for Stochastic Semilinear Differential Inclusions with Nonlocal Conditions

A. Vinodkumar and A. Boucherif

International Journal of Stochastic Analysis, 2011, vol. 2011, 1-17

Abstract:

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:784638

DOI: 10.1155/2011/784638

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