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Primitive of multifunctions and multivalued differential equations

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Convex Analysis and Measurable Multifunctions

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Bibliography of Chapter VI

  1. ARTSTEIN, Z.: Calculus of compact set-valued functions. Research program in game theory and mathematical economics no57. The Hebrew university of Jerusalem 1970.

    Google Scholar 

  2. BERGE, C.: Espaces topologiques. Fonctions multivoques. Dunod 1959.

    Google Scholar 

  3. CARATHEODORY, C.: Vorlesnungen über reelle funktionen Chelsea 1968.

    Google Scholar 

  4. CASTAING, Ch.: Sur les équations différentielles multivoques. C.R. Acad. Sc. Paris 264, 63–66 (1966).

    MathSciNet  Google Scholar 

  5. CASTAING, Ch.: Un résultat de dérivation des multi-applications. Exposé no2. Séminaire d'Analyse convexe Montpellier 1974.

    Google Scholar 

  6. CASTAING, Ch.: Un théorème d'existence de sections séparément mesurables et séparément absolument continues. C.R. Acad. Sc. Paris 276, 367–370 (1973) et Exposé no3 Séminaire d'Analyse convexe Montpellier 1973.

    MathSciNet  MATH  Google Scholar 

  7. CASTAING, Ch., VALADIER, M.: Equations différentielles multivoques dans les espaces vectoriels localement convexes. Revue Informatique et de Recherche Operationelles 16, 3–16 (1969).

    MathSciNet  Google Scholar 

  8. DAURES, J.P.: Contribution à l'étude des équations différentielles multivoques dans les espaces de Banach C.R. Acad. Sc. Paris 270, 769 769–772 (1970).

    MathSciNet  MATH  Google Scholar 

  9. DINCULEANU, N.: Vector measures Pergamon Press 1967.

    Google Scholar 

  10. DUNFORD, N., SCHWARTZ, J.T.: Linear operators, Interscience, New York 1958.

    MATH  Google Scholar 

  11. GHOUILA HOURI, A.: Equations différentielles multivoques C.R. Acad. Sc. Paris 261, 2568–2571 (1965).

    MathSciNet  MATH  Google Scholar 

  12. KOMURA, Y.: Non linear semi-groups in Hilbert spaces. Journal Math. Soc. Japan 19, 493–507 (1967).

    Article  MathSciNet  MATH  Google Scholar 

  13. LASOTA, A., OPIAL, Z.: An application of the Kakutani-Ky Fan theorem in the theory of ordinary differential equation. Bull. Acad. Pol. Sc. Math 13,781–786 (1965)

    MathSciNet  MATH  Google Scholar 

  14. VALADIER, M.: Existence globale pour les équations différentielles multivoques. C.R. Acad. Sc. Paris 272, 274–477 (1971) et Exposé no11 Séminaire d'Analyse Convexe Montpellier 1971.

    MathSciNet  Google Scholar 

  15. YOSIDA, K.: Functional analysis, 2nd ed. Berlin Springer Verlag 1968.

    Google Scholar 

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Castaing, C., Valadier, M. (1977). Primitive of multifunctions and multivalued differential equations. In: Convex Analysis and Measurable Multifunctions. Lecture Notes in Mathematics, vol 580. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087691

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  • DOI: https://doi.org/10.1007/BFb0087691

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  • Print ISBN: 978-3-540-08144-9

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