Geodesic
On boundary-value problems for higher-order differential inclusions
Electronic Journal of Differential Equations, Tome 2008 (2008).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We show the existence of solutions to boundary-value problems for higher-order differential inclusion $x^{(n)}(t) \in F(t,x(t))$, where $F(.,.)$ is a closed multifunction, measurable in $t$ and Lipschitz continuous in $x$. We use the fixed point theorem introduced by Covitz and Nadler for contraction multivalued maps.
Classification : 34A60, 34B10, 34B15
Keywords: boundary value problems, contraction, measurability, multifunction 
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Aitalioubrahim, Myelkebir; Sajid, Said. On boundary-value problems for higher-order differential inclusions. Electronic Journal of Differential Equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a2/