Sur les multi-applications mesurables

Ch. Castaing

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1967)

  • Volume: 1, Issue: 1, page 91-126
  • ISSN: 0764-583X

How to cite

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Castaing, Ch.. "Sur les multi-applications mesurables." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 1.1 (1967): 91-126. <http://eudml.org/doc/193079>.

@article{Castaing1967,
author = {Castaing, Ch.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {differentiation and integration, measure theory},
language = {fre},
number = {1},
pages = {91-126},
publisher = {Dunod},
title = {Sur les multi-applications mesurables},
url = {http://eudml.org/doc/193079},
volume = {1},
year = {1967},
}

TY - JOUR
AU - Castaing, Ch.
TI - Sur les multi-applications mesurables
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1967
PB - Dunod
VL - 1
IS - 1
SP - 91
EP - 126
LA - fre
KW - differentiation and integration, measure theory
UR - http://eudml.org/doc/193079
ER -

References

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  1. [1] R. J. AUMANN, Integrals of set valued functions (Journal of Mathematica and applications, p. 1-12, 1965). Zbl0163.06301MR185073
  2. [2] C. BERGE, Espaces topologiques (Functions multivoques, Dunod). Zbl0164.52902
  3. [3] N. BOURBAKI, Topologie générale (Livre III, chap. 9). 
  4. [4] N. BOURBAKI, Intégration (Livre XIII, chap. 4). 
  5. [5] Ch. CASTAING, Comptes rendus (t. 262, p. 409-411, 1966). Zbl0136.34303
  6. [6] Ch. CASTAING, Comptes rendus (t. 263, p. 63-66, 1966). Zbl0143.31102
  7. [7] G. DEBREU, « Integration of correspondences» (multigraphié). (University of California, 1965.) 
  8. [7] bis] G. DEBREU, « Integration of correspondances», Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability (University of California Press, 1966). Zbl0211.52803
  9. [8] A. F. FILIPPOV, On certain questions in the theory of optimal control (Ves nik Moskov, Série Math., p. 25-32, 1959). Zbl0090.06902MR122650
  10. [9] A. GROTHENDIECK, Espaces vectoriels topologiques Cours de Sao-Paulo}. Zbl0058.33401MR77884
  11. [10] L. HORMANDER, Sur la fonction d'appui des ensembles convexes dans un espace localement convexe Arkiv för Matematik, p. 181-186, 1954). Zbl0064.10504MR68112
  12. [11] S. KARLIN, On extreme point of vector functions (Proc. Amer. Math. Soc., vol. 4, p. 603-610, 1953). Zbl0051.29604MR56668
  13. [12] A. LASOTA et Z. OPIAL, An application of the Kakutani-Ky Fan theorem in the theory of ordinary differential equations (Bull. Acad. Pol. Sc. Série Math., vol. XIII n° 11-12, 1965). Zbl0151.10703MR196178
  14. [13] V. NEUMANN ( Annals of Math 50, 1949). 
  15. [14] C. OLECH, A note concerning set valued measurable function (Bull. Acad. Pol. Sc., Série Math., vol. XIII, p. 317-321, 1965). Zbl0145.28302MR199338
  16. [15] A. PLIS, Remark on measurable set valued functions (Bull. Ac. Pol. Sc., vol. IX, n° 12, p. 857-859, 1961). Zbl0101.04303MR132145
  17. [16] J. PAOLI, L'équilibre concurrentiel retrouvé (Rech. Opér. n° 40, 1966). Zbl0149.38301
  18. [17] L. M. SONNEBORN et F. S. VAN VLECK, The Bang-Bang principle (S. Siam control, vol. 2, n° 2, p. 152-159, 1964). Zbl0196.46702
  19. [18] T. WAZEWSKI, Sur une condition d'existence des fonctions implicites mesurables (Bull. Acad. Pol. Sc., vol. 9, n° 12, 1964). Zbl0101.04302

Citations in EuDML Documents

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  1. Marco Biroli, Sur un'équation d'évolution multivoque et non monotone dans un espace de Hilbert
  2. Jerzy Motyl, Joachim Syga, Properties of set-valued stochastic integrals
  3. Adam Kowalewski, Time-optimal control of infinite order hyperbolic systems with time delays
  4. Philippe Michel, Commandes généralisées à valeurs dans un espace compact théorèmes d'existence
  5. C. J. Himmelberg, Precompact contraction of metric uniformities, and the continuity of F ( t , x )
  6. Charles Castaing, Michel Valadier, Équations différentielles multivoques dans les espaces vectoriels localement convexes
  7. Tullio Zolezzi, Teoremi d'esistenza per problemi di controllo ottimo retti da equazioni ellittiche o paraboliche
  8. Charles J. Himmelberg, F. S. Van Vleck, An extension of Brunovský's Scorza-Dragoni type theorem for unbounded set-valued functions
  9. Petronije S. Milojević, Fredholm alternatives and surjectivity results for multivalued A -proper and condensing mappings with applications to nonlinear integral and differential equations
  10. Bernard Van Cutsem, Martingales de convexes fermés aléatoires en dimension finie

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