Abstract:
Methods for the approximation of a differential inclusion with right-hand side satisfying the Carathéodory conditions are considered. Necessary and sufficient conditions are obtained for the stability of the approximation of a differential inclusion under internal and external perturbations, which means that “small” changes (in the sense of the Hausdorff distance)
of the right-hand side of the inclusion result in a “small” change of the solution set.
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