On the existence of solutions for a higher order differential inclusion without convexity

We prove a Filippov type existence theorem for solutions of a higher order differential inclusion in Banach spaces with nonconvex valued right hand side by applying the contraction principle in the space of the derivatives of solutions instead of the space of solutions.

Bibliographic Details
Main Author: Aurelian Cernea
Format: Article
Language:English
Published: University of Szeged 2007-03-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=267

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