The Carathéodory \(D\)-conditions and their connection with the \(D\)-continuity of the Nemytskij operator

zbMath0919.47059MaRDI QIDQ1390464

I. V. Shragin, Yu. V. Nepomnyashchikh

Publication date: 18 October 1998

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

Nemytskij operatorCarathéodory type conditions

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)

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Linear and nonlinear integral functional on the space of continuous vector functions ⋮ The necessity of the carathéodory conditions for the lower semicontinuity in measure of the multivalued nemytskii operator