Ordinary differential equations the solution of which are $ACG_*$-functions

Jaroslav Kurzweil; Štefan Schwabik

Displaying similar documents to “Ordinary differential equations the solution of which are $ACG_*$-functions”

Henstock-Kurzweil and McShane product integration; descriptive definitions

Antonín Slavík, Štefan Schwabik (2008)

Czechoslovak Mathematical Journal

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The Henstock-Kurzweil and McShane product integrals generalize the notion of the Riemann product integral. We study properties of the corresponding indefinite integrals (i.e. product integrals considered as functions of the upper bound of integration). It is shown that the indefinite McShane product integral of a matrix-valued function $A$ is absolutely continuous. As a consequence we obtain that the McShane product integral of $A$ over $[a, b]$ exists and is invertible if and only if $A$ is Bochner...

Eighty years of Jaroslav Kurzweil

Jiří Jarník, Štefan Schwabik, Milan Tvrdý, Ivo Vrkoč (2006)

Mathematica Bohemica

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A Daniell integral approach to nonstandard Kurzweil-Henstock integral

Ricardo Bianconi, João C. Prandini, Cláudio Possani (1999)

Czechoslovak Mathematical Journal

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A workable nonstandard definition of the Kurzweil-Henstock integral is given via a Daniell integral approach. This allows us to study the HL class of functions from . The theory is recovered together with a few new results.