Eighty years of Jaroslav Kurzweil
Jiří Jarník, Štefan Schwabik, Milan Tvrdý, Ivo Vrkoč (2006)
Mathematica Bohemica
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Jiří Jarník, Štefan Schwabik, Milan Tvrdý, Ivo Vrkoč (2006)
Mathematica Bohemica
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Márcia Federson, Ricardo Bianconi (2001)
Archivum Mathematicum
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In 1990, Hönig proved that the linear Volterra integral equation where the functions are Banach space-valued and is a Kurzweil integrable function defined on a compact interval of the real line , admits one and only one solution in the space of the Kurzweil integrable functions with resolvent given by the Neumann series. In the present paper, we extend Hönig’s result to the linear Volterra-Stieltjes integral equation in a real-valued context.