On a nonconvex boundary value problem for a first order multivalued differential system

Aurelian Cernea

Address: Faculty of Mathematics and Informatics, University of Bucharest Academiei 14, 010014 Bucharest, Romania

E-mail: acernea@fmi.math.unibuc.ro

Abstract: We consider a boundary value problem for first order nonconvex differential inclusion and we obtain some existence results by using the set-valued contraction principle.

AMSclassification: primary 34A60.

Keywords: boundary value problem, differential inclusion, contractive set-valued map, fixed point.