Ninety years of Jaroslav Kurzweil
Jiří Jarník, Pavel Krejčí, Antonín Slavík, Milan Tvrdý, Ivo Vrkoč (2016)
Mathematica Bohemica
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Jiří Jarník, Pavel Krejčí, Antonín Slavík, Milan Tvrdý, Ivo Vrkoč (2016)
Mathematica Bohemica
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Milan Tvrdý (2025)
Czechoslovak Mathematical Journal
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Tomáš W. Pavlíček (2021)
Mathematica Bohemica
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Ireneusz Kubiaczyk, Aneta Sikorska (1999)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper, using the properties of the Henstock-Kurzweil integral and corresponding theorems, we prove the existence theorem for the equation x' = f(t,x) and inclusion x' ∈ F(t,x) in a Banach space, where f is Henstock-Kurzweil integrable and satisfies some conditions.
Tuo-Yeong Lee (2005)
Mathematica Bohemica
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It is shown that a Banach-valued Henstock-Kurzweil integrable function on an -dimensional compact interval is McShane integrable on a portion of the interval. As a consequence, there exist a non-Perron integrable function and a continuous function such that for all .
Branko Sarić (2011)
Czechoslovak Mathematical Journal
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In this paper a full totalization is presented of the Kurzweil-Henstock integral in the multidimensional space. A residual function of the total Kurzweil-Henstock primitive is defined.