Applications of Henstock-Kurzweil integrals on an unbounded interval to differential and integral equations

In: Mathematica Slovaca, vol. 68, no. 1

Marcin Borkowski - Daria Bugajewska

Detaily:

Rok, strany: 2018, 77 - 88

Kľúčové slová:

improper Henstock-Kurzweil integral, functions of bounded variation in the sense of Jordan, ordinary differential equations, nonlinear Hammerstein integral equations, nonlinear Volterra integral

DOI: https://doi.org/10.1515/ms-2017-0082

O článku:

In this paper we are going to apply the Henstock-Kurzweil integrals defined on an unbounded intervals to differential and integral equations defined on such intervals. To deal with linear differential equations we examine convolution involving functions integrable in Henstock-Kurzweil sense. In the case of nonlinear Hammerstein integral equation as well as Volterra integral equation we look for solutions in the space of functions of bounded variation in the sense of Jordan.

Ako citovať:

ISO 690:

Borkowski, M., Bugajewska, D. 2018. Applications of Henstock-Kurzweil integrals on an unbounded interval to differential and integral equations. In Mathematica Slovaca, vol. 68, no.1, pp. 77-88. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0082

APA:

Borkowski, M., Bugajewska, D. (2018). Applications of Henstock-Kurzweil integrals on an unbounded interval to differential and integral equations. Mathematica Slovaca, 68(1), 77-88. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0082

O vydaní:

Publikované: 23. 2. 2018