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Properties of set-valued Young integrals and Young differential inclusions generated by sets of Hölder functions
Abstract The present studies concern properties of set-valued Young integrals generated by families of $$\beta $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>β</mml:mi> </mml:math> -Hölder functions and differential inclusions governed by such a type of integrals. These integrals differ from classical set-valued integrals of set-valued functions constructed in an Aumann’s sense. Integrals and inclusions …