A theorem about Carathéodory's superposition

Zbigniew Grande

Mathematica Slovaca (1992)

  • Volume: 42, Issue: 4, page 443-449
  • ISSN: 0139-9918

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Grande, Zbigniew. "A theorem about Carathéodory's superposition." Mathematica Slovaca 42.4 (1992): 443-449. <http://eudml.org/doc/31820>.

@article{Grande1992,
author = {Grande, Zbigniew},
journal = {Mathematica Slovaca},
keywords = {existence; differential equation; Banach space; Carathéodory superposition},
language = {eng},
number = {4},
pages = {443-449},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A theorem about Carathéodory's superposition},
url = {http://eudml.org/doc/31820},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Grande, Zbigniew
TI - A theorem about Carathéodory's superposition
JO - Mathematica Slovaca
PY - 1992
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 42
IS - 4
SP - 443
EP - 449
LA - eng
KW - existence; differential equation; Banach space; Carathéodory superposition
UR - http://eudml.org/doc/31820
ER -

References

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  1. BRUCKNER A. M., Differentiation of Real Functions, Lecture Notes Math. 659, Springer-Verlag, Berlin-Heidelberg-New York, 1978. (1978) Zbl0382.26002MR0507448
  2. DE BLASI F. S., MYJAK J., On the solutions sets for differential inclusions, Bull. Polish Acad. Sci. Math. 33 (1985), 17-24. (1985) Zbl0571.34008MR0798723
  3. FILIPPOV A. F., Differential Equations with Discontinuous Right-hand Side, (Russian), Nauka, Moscow, 1985. (1985) Zbl0571.34001MR0790682
  4. GRANDE Z., Sur un théorème de Nikodym, Demonstrate Math. 14 (1981), 459-469. (1981) Zbl0474.28005MR0632301
  5. GRANDE Z., Quelques remarques sur les fonctions presque continues, Probl. Mat. 10 (1988), 63-70. (1988) 
  6. GRANDE Z., RZEPKA D., Sur le produit de deux dérivées, Real Anal. Exchange 6 (1980-81), 95-110. (1980) MR0606544
  7. HARTMAN, PH., Ordinary Differential Equations, J. Wiley, New York-Sydney, 1954. (1954) MR0171038
  8. HILLE E., Functional Analysis and Semi-groups, Amer. Math. Soc., New York, 1948. (1948) Zbl0033.06501MR0025077
  9. KOLODZIEJ W., Mathematical Analysis, (Polish), PWN, Warszawa, 1979. (1979) 
  10. PIANIGIANI G., Existence of solutions for ordinary differential equations in Banach spaces, Bull. Polish Acad. Sci. Mat., Astron., Phys. 23 (1975), 853-857. (1975) Zbl0317.34050MR0393710
  11. SZRAGIN W., The conditions for the measurability of the superposition, (Russian), Dokl. Akad. Nauk SSSR 197 (1971), 295-298. (197) MR0277680
  12. ZAHORSKI Z., Sur la première dérivée, Trans. Amer. Math. Soc. 69 (1950), 1-54. (1950) Zbl0038.20602MR0037338

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