Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 62, pp. 1-11.

Title: On boundary-value problems for higher-order differential inclusions
 
Authors: Myelkebir Aitalioubrahim (Univ. Hassan II-Mohammedia, Morocco)
         Said Sajid               (Univ. Hassan II-Mohammedia, Morocco)

Abstract: 
 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.
 
Submitted March 14, 2007. Published April 22, 2008.
Math Subject Classifications: 34A60, 34B10, 34B15.
Key Words: Boundary value problems; contraction;
           measurability; multifunction.