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Resumen de Pointwise estimates for retractions on the solution set to Lipschitz differential inclusions

Andrzej Fryszkowski

  • Denote by the set of derivatives of all absolutely continuous solutions of a Lipschitz differential inclusion It is known that the set is an absolute retract. We show the following:

    Theorem. For every there exists a continuous mapping such that for every the map r is a retraction of onto and for all and almost all we have a Filippov type pointwise estimate where and the functions and are related with the Lipschitz condition.


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