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

• Autores: Andrzej Fryszkowski
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 139, Nº 2, 2011, págs. 597-608
• Idioma: inglés
• DOI: 10.1090/s0002-9939-2010-10502-6
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• Resumen

  • 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.