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

A. Arara, M. Benchohra, S. K. Ntouyas and A. Ouahab

  Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece

E-mail. sntouyas@cc.uoi.gr

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.

AMSclassification. 34A60, 34A34.

Keywords.  Differential inclusions, contraction multivalued map, fixed point, decomposable values, measurable.