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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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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/

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