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On the existence of solutions of a class of differential inclusions on a compact set

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Literature Cited

  1. J. P. Aubin and A. Cellina, Differential Inclusions, Springer-Verlag, Berlin-New York (1984).

    Google Scholar 

  2. J. A. Yorke, “Invariance for contingent equations,” in: Lectures Notes in Operations Research and Math. Economics, Vol. 12, Springer-Verlag, Berlin (1969), pp. 379–381.

    Google Scholar 

  3. B. Cornet, “Existence of slow solutions for a class of differential inclusions,” J. Math. Anal. Appl.,96, No. 1, 130–147 (1983).

    Google Scholar 

  4. G. Haddad, “Monotone trajectories of differential inclusions and functional differential inclusions with memory,” Israel J. Math.,39, Nos. 1–2, 83–100 (1981).

    Google Scholar 

  5. F. H. Clarke and J. P. Aubin, “Monotone invariant solutions to differential inclusions,” J. London Math. Soc.,16, No. 2, 357–366 (1977).

    Google Scholar 

  6. C. Bardaro and P. Pucci, “Some contributions to the theory of multivalued differential equations,” Atti Sem. Mat. Fiz. Univ. Modena,32, No. 1, 175–202 (1983).

    Google Scholar 

  7. A. Bressan, “Solutions of lower semicontinuous differential inclusions on closed sets,” Rend. Sem. Math. Univ. Padova,69, 99–107 (1983).

    Google Scholar 

  8. G. Bouligand, Introduction à la Géometrie Infinitesimale Directe, Gauthier-Villars, Paris (1932).

    Google Scholar 

  9. J. P. Aubin and I. Ekeland, Applied Nonlinear Analysis, J. Wiley-Interscience, New York (1984).

    Google Scholar 

  10. L. Schwartz, Analyse. I, Hermann, Paris (1967).

    Google Scholar 

  11. A. Fryszkowski, “Continuous selections for a class of nonconvex multivalued maps,” Studia Math.,76, No. 2, 163–174 (1983).

    Google Scholar 

  12. A. Bressan and G. Colombo, “Extensions and selections of maps with decomposable values,” Studia Math.,90, No. 1, 69–86 (1988).

    Google Scholar 

  13. C. J. Himmelberg, “Measurable relations,” Fund. Math.,87, No. 1, 53–72 (1975).

    Google Scholar 

  14. R. H. Martin, Nonlinear Operators and Differential Equations in Banach Spaces, J. Wiley-Interscience, New York (1976).

    Google Scholar 

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Irkutsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 5, pp. 24–30, September–October, 1990.

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Goncharov, V.V. On the existence of solutions of a class of differential inclusions on a compact set. Sib Math J 31, 727–732 (1990). https://doi.org/10.1007/BF00974485

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  • DOI: https://doi.org/10.1007/BF00974485

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