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

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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, An ℒ * -convergence in differential equations
  2. Karel Karták, Jan Mařík, On representations of some Perron integrable functions
  3. Karel Karták, On Carathéodory operators
  4. Ivo Vrkoč, The representation of Carathéodory operators
  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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