6533b7cefe1ef96bd1257289

RESEARCH PRODUCT

Absolutely continuous variational measures of Mawhin's type

Francesco TuloneYurij Zherebyov

subject

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

description

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.

yearjournalcountryeditionlanguage
2011-08-24
10.2478/s12175-011-0043-0http://hdl.handle.net/10447/60449