Ordinary differential equations the solution of which are A C G * -functions

Jaroslav Kurzweil; Štefan Schwabik

Archivum Mathematicum (1990)

  • Volume: 026, Issue: 2-3, page 129-136
  • ISSN: 0044-8753

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Kurzweil, Jaroslav, and Schwabik, Štefan. "Ordinary differential equations the solution of which are $ACG_*$-functions." Archivum Mathematicum 026.2-3 (1990): 129-136. <http://eudml.org/doc/18294>.

@article{Kurzweil1990,
author = {Kurzweil, Jaroslav, Schwabik, Štefan},
journal = {Archivum Mathematicum},
keywords = {Cauchy problem; ordinary differential systems; equivalent integral equation; sense of Perron},
language = {eng},
number = {2-3},
pages = {129-136},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Ordinary differential equations the solution of which are $ACG_*$-functions},
url = {http://eudml.org/doc/18294},
volume = {026},
year = {1990},
}

TY - JOUR
AU - Kurzweil, Jaroslav
AU - Schwabik, Štefan
TI - Ordinary differential equations the solution of which are $ACG_*$-functions
JO - Archivum Mathematicum
PY - 1990
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 026
IS - 2-3
SP - 129
EP - 136
LA - eng
KW - Cauchy problem; ordinary differential systems; equivalent integral equation; sense of Perron
UR - http://eudml.org/doc/18294
ER -

References

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  1. C. Carathéodory, Vorlesungen über reelle Funktionen, B. G. Teubner, Leipzig u. Berlin., 1918. (1918) 
  2. A. Denjoy, Mémoire sur la totalisation des nombres dérivés non-sommables, Ann. Ecole Norm. 34 (1917), 181-238. (1917) MR1509204
  3. N. P. Eгugin I. Z. Shtokalo, al., Lectures on Ordinary Differential Equations, (in Russian)., Golovnoe izd., Kiev, 1974. (1974) 
  4. R. Henstock, Lectures on the Theory of Integration, World Scientific, Singapore, 1988. (1988) Zbl0668.28001MR0963249
  5. J. Jarník J. Kurzweil, A general form of the product integral and linear ordinary differential equations, Czech. Math. Journal, 37 (112), 1987, 642-659. (1987) MR0913996
  6. J. Kurzweil, Nichtabsolut konvergente Integrale, BSB B. G. Teubner, Leipzig, 1980. (1980) Zbl0441.28001MR0597703
  7. J. Mawhin, Introduction a l'analyse, CABAY, Libraire-éditeuг, Louvain-la Neuve, 1984. (1984) 
  8. S. Saks, Theory of the Integral, Monografìe Matematyczne, Warszawa, 1937. (1937) Zbl0017.30004

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