The Filippov-Wazewski relaxation theorem revisited

Tallos, Péter and Joó, István (1999) The Filippov-Wazewski relaxation theorem revisited. Acta Mathematica Hungarica, 83 (2). pp. 277-283. DOI 10.1023/A:1006679923121

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Official URL: http://www.akademiai.com/content/nh316gn02vg5161r/

Revised version. Research partially supported by OTKA, Grant No. T 023881

Abstract

The converse statement of the Filippov-Wazewski relaxation theorem is proven, 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.

Item Type:

Article

Series Number / Identification Number:

10.1023/A:1006679923121

Divisions:

Faculty of Economics > Department of Mathematics

Subjects:

Mathematics, Econometrics

Funders:

OTKA

DOI:

10.1023/A:1006679923121