A generalization of the Carathéodory theory of differential equations

Karel Karták

Czechoslovak Mathematical Journal (1967)

  • Volume: 17, Issue: 4, page 482-514
  • ISSN: 0011-4642

How to cite

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Karták, Karel. "A generalization of the Carathéodory theory of differential equations." Czechoslovak Mathematical Journal 17.4 (1967): 482-514. <http://eudml.org/doc/12380>.

@article{Karták1967,
author = {Karták, Karel},
journal = {Czechoslovak Mathematical Journal},
keywords = {ordinary differential equations},
language = {eng},
number = {4},
pages = {482-514},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A generalization of the Carathéodory theory of differential equations},
url = {http://eudml.org/doc/12380},
volume = {17},
year = {1967},
}

TY - JOUR
AU - Karták, Karel
TI - A generalization of the Carathéodory theory of differential equations
JO - Czechoslovak Mathematical Journal
PY - 1967
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 17
IS - 4
SP - 482
EP - 514
LA - eng
KW - ordinary differential equations
UR - http://eudml.org/doc/12380
ER -

References

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  1. H. K. Бари, Тригонометрические ряды, ФМЛ, Москва 1961. (1961) Zbl1160.68305
  2. J. С. Burkill, The approximately continuous Perron integral, Math. Zeitschrift, 34 (1931), 270-278. (1931) Zbl0002.38604
  3. С. Carathéodory, Vorlesungen über reelle Funktionen, Leipzig -Berlin 1918. (1918) 
  4. E. A. Coddington N. Levinson, Theory of ordinary differential equations, New York 1955. (1955) MR0069338
  5. A. Г. Дмсваршейшвыли, Интеграл Данжуа и некоторые вопросы из анализа, Труды Тбилисского математического общества, XXV (1958), 273-372. (1958) Zbl0995.62501
  6. Kа. Iseki, On Quasi-Denjoy Integration, Proc. of the Japan Acad., 38 (1962), 252-257. (1962) Zbl0111.05601MR0148844
  7. K. Karták, Věta o substituci pro Denjoyovy integrály, Časopis pěst. matem., 81 (1956), 410-419. (1956) MR0095918
  8. K. Karták, A theorem on continuous dependence on a parameter, Časopis pěst. matem., 91 (1966), 178-184. (1966) MR0200508
  9. K. Karták, On Carathéodory operators, Czech. Math. J., 17 (92), (1967), 515-519. (1967) MR0220999
  10. Я. Курцвейлъ 3. Ворел, О непрерывной зависимости решений дифференциальных уравнений от параметра, Czech. Math. J., 7 (82), 1957, 568-583. (1957) Zbl1230.76017
  11. S. Saks, Theory of the Integral, Warszawa 1937. (1937) Zbl0017.30004
  12. П. Л. Ульянов, А-интеграл и сопряженное функции, Учен. записки МГУ, 181 (1956), 139-157. (1956) Zbl0995.90522MR0084627
  13. И. А. Виноградова, О неопределенном А-интеграле, Известия Акад. наук СССР, 25 (1961), 113-142. (1961) Zbl1160.68305MR0141757
  14. А. Zygmund, Trigonometric Series, Cambridge 1959. (1959) Zbl0085.05601

Citations in EuDML Documents

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  1. Karel Karták, Jan Mařík, On representations of some Perron integrable functions
  2. Ivo Vrkoč, The representation of Carathéodory operators
  3. Karel Karták, On Carathéodory operators
  4. Karel Karták, An * -convergence in differential equations
  5. Otomar Hájek, Karel Karták, Linear differential equations with Newton-integrable coefficients
  6. Sender Solomon, Opérateur de Carathéodory sur un espace topologique mesuré
  7. Jean Mawhin, Problème de Cauchy pour les équations différentielles et théories de l'intégration : influences mutuelles
  8. Karel Karták, A system of axioms for Euclidean integration

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