Ali Rezaiguia, Smail Kelaiaia

Existence of Solution for a Third-Order Differential Inclusion with Three-Point Boundary Value Problem Involving Convex Multivalued Maps

abstract:
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.

Mathematics Subject Classification: 34A60, 26E25

Key words and phrases: Third-order differential inclusion, three point boundary value problem, fixed point theorem, selection theorem