Absolutely continuous variational measures of Mawhin's type

In: Mathematica Slovaca, vol. 61, no. 5

Francesco Tulone - Yurij Zherebyov

Detaily:

Rok, strany: 2011, 747 - 768

Kľúčové slová:

derivation basis, variational measure, Mawhin integral, $\mathcal{F}$-integral, $BV$-integral, Radon-Nikodým derivative

DOI: https://doi.org/10.2478/s12175-011-0043-0

O článku:

In this paper we study absolutely continuous and $σ$-finite variational measures corresponding to Mawhin, $\mathcal{F}$- 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

Ako citovať:

ISO 690:

Tulone, F., Zherebyov, Y. 2011. Absolutely continuous variational measures of Mawhin's type. In Mathematica Slovaca, vol. 61, no.5, pp. 747-768. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0043-0

APA:

Tulone, F., Zherebyov, Y. (2011). Absolutely continuous variational measures of Mawhin's type. Mathematica Slovaca, 61(5), 747-768. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0043-0

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