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Existence Results for Stochastic Semilinear Differential Inclusions with Nonlocal Conditions

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  • A. Vinodkumar
  • A. Boucherif

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.

Suggested Citation

  • A. Vinodkumar & A. Boucherif, 2011. "Existence Results for Stochastic Semilinear Differential Inclusions with Nonlocal Conditions," International Journal of Stochastic Analysis, Hindawi, vol. 2011, pages 1-17, November.
    • Handle: RePEc:hin:jnijsa:784638
    DOI: 10.1155/2011/784638
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