In this paper we consider a nonlinear order multi-point boundary value problem. Two results of existence of solution are established: the first using Alternative of Leray-Schauder's type and the second using the Banach fixed point theorem. Motivated by the second result, we present a numerical method. Nonclassical examples are used to test the method cited.
alternative of Leray-Schauder; numerical solutions; Banach fixed point theorem
