Address.
Department of Mathematics, University of
Ioannina, 451 10 Ioannina, Greece
E-mail. sntouyas@cc.uoi.gr
Abstract.
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.