0000000000042984

AUTHOR

Yurij Zherebyov

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Absolutely continuous variational measures of Mawhin's type

2011

Abstract In this paper we study absolutely continuous and σ-finite variational measures corresponding to Mawhin, F- and BV -integrals. We obtain characterization of these σ-finite variational measures similar to those obtained in the case of standard variational measures. We also give a new proof of the Radon-Nikodým theorem for these measures.

Pure mathematicsVariational measure Mawhin integral Radon-Nikodym theoremSettore MAT/05 - Analisi MatematicaGeneral MathematicsCalculusAlgebra over a fieldCharacterization (mathematics)Absolute continuityMathematics
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