Integral of multivalued mappings and its connection with differential relations

Jiří Jarník; Jaroslav Kurzweil

Časopis pro pěstování matematiky (1983)

  • Volume: 108, Issue: 1, page 8-28
  • ISSN: 0528-2195

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Jarník, Jiří, and Kurzweil, Jaroslav. "Integral of multivalued mappings and its connection with differential relations." Časopis pro pěstování matematiky 108.1 (1983): 8-28. <http://eudml.org/doc/21521>.

@article{Jarník1983,
author = {Jarník, Jiří, Kurzweil, Jaroslav},
journal = {Časopis pro pěstování matematiky},
keywords = {differential relations; integrals of multivalued functions},
language = {eng},
number = {1},
pages = {8-28},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Integral of multivalued mappings and its connection with differential relations},
url = {http://eudml.org/doc/21521},
volume = {108},
year = {1983},
}

TY - JOUR
AU - Jarník, Jiří
AU - Kurzweil, Jaroslav
TI - Integral of multivalued mappings and its connection with differential relations
JO - Časopis pro pěstování matematiky
PY - 1983
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 108
IS - 1
SP - 8
EP - 28
LA - eng
KW - differential relations; integrals of multivalued functions
UR - http://eudml.org/doc/21521
ER -

References

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  1. J. Aumann, Integrals of set-valued functions, Journ. Math. Anal, and Appl. 12 (1965), 1 - 12. (1965) Zbl0163.06301MR0185073
  2. Z. Artstein J. A. Burns, Integration of compact set-valued functions, Pacific Journ. Math. 58 (1975), 2, 297-307. (1975) MR0385061
  3. J. Kurzweil, Generalized ordinary differential equations and continuous dependence on a parameter, Czechoslov. Math. Journ. 7 (82) (1957), 418-449. (1957) Zbl0090.30002MR0111875
  4. J. Kurzweil, Generalized ordinary differential equations, Czechoslovak Math. Journ. 8 (83) (1958), 360-388. (1958) Zbl0102.07003MR0111878
  5. J. Kurzweil, Nichtabsolut konvergente Integrale, Teubner-Texte zur Mathematik 26, B. G. Teubner, Leipzig 1980. (1980) Zbl0441.28001MR0597703
  6. R. Henstock, Theory of Integration, Butterworths, London 1963. (1963) Zbl0154.05001MR0158047
  7. E. J. MacShane, A Riemann-type integral that includes Lebesgue-Stieltjes, Bochner and stochastic integrals, Memoirs Amer. Math. Soc. 88 (1969). (1969) MR0265527
  8. K. J. Arrow F. H: Hahn, General Competitive Analysis, Holden-Day Inc., San Francisco 1971. (1971) MR0439057
  9. T. Rzezuchowski, Scorza-Dragoni type theorem for upper semicontinuous multivalued functions, Bulletin Acad. Pol. Sci., Ser. sci. math. XXVIII (1980), 61 - 66. (1980) Zbl0459.28007MR0616201

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