Solving a second order m-point boundary value problem

Abstract

In this paper we consider a second order m-point boundary value problem for which we obtain the existence of multiple solutions by using Avery-Peterson
Theorem with the introduction of new operator. In view of the mathematical characteristics that we observed, we write a new heuristic for multiple numerical solutions,
which differs from the classical approach based on methods of fixed point. Finally, we perform numerical tests to validate our proposal.