Geodesic
Existence results for boundary value problems for fourth-order differential inclusions with nonconvex valued right hand side
Archivum mathematicum, Tome 40 (2004) no. 3, pp. 219-227.

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In this paper a fixed point theorem due to Covitz and Nadler for contraction multivalued maps, and the Schaefer’s theorem combined with a selection theorem due to Bressan and Colombo for lower semicontinuous multivalued operators with decomposables values, are used to investigate the existence of solutions for boundary value problems of fourth-order differential inclusions.
Classification : 34A60, 34B15, 47H10
Keywords: differential inclusions; contraction multivalued map; fixed point; decomposable values; measurable 
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     author = {Arara, A. and Benchohra, M. and Ntouyas, Sotiris K. and Ouahab, A.},
     title = {Existence results for boundary value problems for fourth-order differential inclusions with nonconvex valued right hand side},
     journal = {Archivum mathematicum},
     pages = {219--227},
     publisher = {mathdoc},
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     number = {3},
     year = {2004},
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     zbl = {1117.34005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2004__40_3_a0/}
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Arara, A.; Benchohra, M.; Ntouyas, Sotiris K.; Ouahab, A. Existence results for boundary value problems for fourth-order differential inclusions with nonconvex valued right hand side. Archivum mathematicum, Tome 40 (2004) no. 3, pp. 219-227. http://geodesic.mathdoc.fr/item/ARM_2004__40_3_a0/