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-Nikod´ym theorem for these measures.
Tulone, F., Zherebyov, Y. (2011). Absolutely continuous variational measures of Mawhin's type. MATHEMATICA SLOVACA, 61(5), 747-768 [10.2478/s12175-011-0043-0].
Absolutely continuous variational measures of Mawhin's type
TULONE, Francesco;
2011-01-01
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-Nikod´ym theorem for these measures.
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