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Generic Properties of Continuous Differential Inclusions and the Tonelli Method of Approximate Solutions

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Abstract

We study Cauchy problems for differential inclusions in Banach spaces and show that most such problems (in the sense of Baire’s categories) have solutions. We consider separately the cases where the point images of the right-hand side are compact and convex, and where they are merely bounded, closed and convex.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133, Roma, Italy

    Francesco S. de Blasi

  2. Department of Mathematics, The Technion–Israel Institute of Technology, 32000, Haifa, Israel

    Simeon Reich & Alexander J. Zaslavski

Authors
  1. Francesco S. de Blasi
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  2. Simeon Reich
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  3. Alexander J. Zaslavski
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Corresponding author

Correspondence to Simeon Reich.

Additional information

Francesco Saverio de Blasi passed away on March 21, 2012.

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de Blasi, F.S., Reich, S. & Zaslavski, A.J. Generic Properties of Continuous Differential Inclusions and the Tonelli Method of Approximate Solutions. Set-Valued Var. Anal 21, 217–245 (2013). https://doi.org/10.1007/s11228-012-0222-3

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  • DOI: https://doi.org/10.1007/s11228-012-0222-3

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