Geodesic
On boundary-value problems for higher-order differential inclusions
Electronic journal of differential equations, Tome 2008 (2008)
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 
@article{EJDE_2008__2008__a2,
     author = {Aitalioubrahim,  Myelkebir and Sajid,  Said},
     title = {On boundary-value problems for higher-order differential inclusions},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1170.34310},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a2/}
}
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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/