Geodesic
On fourth-order boundary-value problems
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 49 (2010) no. 1, pp. 5-16.

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We show the existence of solutions to a boundary-value problem for fourth-order differential inclusions in a Banach space, under Lipschitz’s contractive conditions, Carathéodory conditions and lower semicontinuity conditions.
Classification : 34B15, 34G20, 47H10
Keywords: Boundary-value problems; set-valued map; fixed point; selection 
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Aitalioubrahim, Myelkebir. On fourth-order boundary-value problems. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 49 (2010) no. 1, pp. 5-16. http://geodesic.mathdoc.fr/item/AUPO_2010__49_1_a0/