Abstract
We prove some existence and uniqueness results for nonlinear stochastic integral equation of Urysohn type using fixed point theory methods. We also establish the stability of the unique solution with respect to small perturbations of the stochastic free term (Constantin, Qualitative problems for differential equations and control theory, World Scientific Publishing, Singapore, 1995).
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Communicated by Adrian Constantin.
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Negrea, R. On a nonlinear stochastic integral equation. Monatsh Math 192, 905–914 (2020). https://doi.org/10.1007/s00605-019-01353-y
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DOI: https://doi.org/10.1007/s00605-019-01353-y