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

Aurelian Cernea | Zendy

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

Author(s) -

Aurelian Cernea

Publication year - 2007

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2007.1.8

Subject(s) - mathematics , convexity , differential inclusion , order (exchange) , inclusion (mineral) , differential (mechanical device) , pure mathematics , mathematical analysis , mathematical economics , thermodynamics , psychology , social psychology , economics , finance , financial economics , physics

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.

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