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The Filippov-Ważewski Relaxation Theorem Revisited

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Abstract

The converse statement of the Filippov-Ważewski relaxation theorem is proved. More precisely, two differential inclusions have the same closure of their solution sets if and only if the right-hand sides have the same convex hull. The idea of the proof is examining the contingent derivatives to the attainable sets.

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Authors and Affiliations

  1. Department of Mathematics, Budapest University of Economics, P.O. Box 489, 1828, Budapest, Hungary

    I. Joó & P. Tallos

Authors
  1. I. Joó
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  2. P. Tallos
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Joó, I., Tallos, P. The Filippov-Ważewski Relaxation Theorem Revisited. Acta Mathematica Hungarica 83, 171–177 (1999). https://doi.org/10.1023/A:1006679923121

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  • DOI: https://doi.org/10.1023/A:1006679923121

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