EXISTENCE OF SOLUTION FOR A THIRD-ORDER DIFFERENTIAL INCLUSION WITH THREE-POINT BOUNDARY VALUE PROBLEM INVOLVING CONVEX MULTIVALUED MAPS

摘要

In this paper, we discuss the existence of solutions for a third-order differential inclusions with three-point boundary conditions involving convex multivalued maps.The obtained results are based on a nonlinear alternative of the Leray–Schauder type.Finally, some examples are given to illustrate our results.