Variational measures in the theory of the integration in
We study properties of variational measures associated with certain conditionally convergent integrals in . In particular we give a full descriptive characterization of these integrals.
Variational measures related to local systems and the Ward property of -adic path bases
Some properties of absolutely continuous variational measures associated with local systems of sets are established. The classes of functions generating such measures are described. It is shown by constructing an example that there exists a -adic path system that defines a differentiation basis which does not possess Ward property.
Volterra integral equations governed by highly oscillatory functions on the time scale.
Volterra integral inclusions via Henstock-Kurzweil-Pettis integral
In this paper, we prove the existence of continuous solutions of a Volterra integral inclusion involving the Henstock-Kurzweil-Pettis integral. Since this kind of integral is more general than the Bochner, Pettis and Henstock integrals, our result extends many of the results previously obtained in the single-valued setting or in the set-valued case.
О взаимоотношении A и B-интегралов
О конcтpуктовных аналогах обобщено абсолютно непрерывных функций и функций обобщеной ограниченой вариации
О конструктивном интеграле Перрона
О конструктивных интегралах Данжуа
О мажорантах -интегрируемых функций
Об oднoм oбoбщeнии кoнcтpуктивнoгo интеграла Лeбeгa
Об интегрировании по частям в SCP-интеграле Беркилля
Об использовании интеграла Римана-Стилтьеса в теории конструктивного интеграла Лебега и его обобщений
Сопряженные функции и узкий интеграл Данжуа