<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We consider a Cauchy problem associated to a nonconvex differential inclusion with “maxima” and we prove a Filippov type existence result. This result allows to obtain a relaxation theorem for the problem considered.</p></abstract>

We consider a Cauchy problem associated to a nonconvex differential inclusion with “maxima” and we prove a Filippov type existence result. This result allows to obtain a relaxation theorem for the problem considered.

A relaxation theorem for a differential inclusion with “maxima”

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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{"article-title":"A relaxation theorem for a differential inclusion with \u201cmaxima\u201d"}

We consider a Cauchy problem associated to a nonconvex differential inclusion with “maxima” and we prove a Filippov type existence result. This result allows...

A relaxation theorem for a differential inclusion with “maxima”

Published Online: Sep 21, 2017

Page range: 61 - 68

Received: Feb 20, 2016

Accepted: Apr 25, 2016

DOI: https://doi.org/10.1515/auom-2017-0005

Keywords
Set-valued map, differential inclusion, relaxation

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A relaxation theorem for a differential inclusion with “maxima”

Published Online: Sep 21, 2017

Page range: 61 - 68

Received: Feb 20, 2016

Accepted: Apr 25, 2016

DOI: https://doi.org/10.1515/auom-2017-0005

KeywordsSet-valued map, differential inclusion, relaxation

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Set-valued map, differential inclusion, relaxation