The solution set of a differential inclusionon a closed set of a Banach space

doi:https://doi.org/10.4064/am-23-1-13-23

The solution set of a differential inclusionon a closed set of a Banach space

Wen Song-1995-01-01-Applicationes Mathematicae

TL;DRAbstract

We consider differential inclusions with state constraints in a Banach space and study the properties of their solution sets. We prove a relaxation theorem and we apply it to prove the well-posedness of an optimal control problem.

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We consider differential inclusions with state constraints in a Banach space and study the properties of their solution sets. We prove a relaxation theorem and we apply it to prove the well-posedness of an optimal control problem.

Keywords

Banach spaceMathematicsDifferential inclusionC0-semigroupSet (abstract data type)Closed setPure mathematicsSpace (punctuation)

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