### Existence results for boundary value problems for fourth-order differential inclusions with nonconvex valued right hand side

A. Arara, Mouffak Benchohra, Sotiris K. Ntouyas, Abdelghani Ouahab (2004)

Archivum Mathematicum

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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.