On the Relationship Between Solutions of Stochastic and Random Differential Inclusions |
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Abstract: | Some results on the relationship of the solutions of a stochastic differential inclusion and the corresponding random differential inclusion obtained after a change of variable are proved. As a consequence, we obtain the pullback convergence of the solutions of the stochastic inclusion to a compact random set. The cases of a reaction–diffusion inclusion perturbed by additive and multiplicative noises are considered. |
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