Solving a second order m-point boundary value problem

  • André L. M. Martinez UTFPR
  • Emerson Vitor Castelani State University of Maringá
  • Robinson Hoto State University of Londrina


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.

Author Biographies

Emerson Vitor Castelani, State University of Maringá
Department of Mathematics
Robinson Hoto, State University of Londrina
Department of Mathematics