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Necessary conditions for solving initial value problems with infima of superfunctions

Necessary conditions for solving initial value problems with infima of superfunctions

Goodman proved that the pointwise infimum of all superfunctions is the minimal absolutely continuous solution ofHow far can Carathéodory conditions be weakened without loosing that property?First we establish necessary conditions over f for Goodman's method to be valid, and then we use them as a starting point to deduce sufficient …