Multiple Solutions for a Sixth Order Boundary Value Problem

André Luís Machado Martinez, Cristiane Aparecida Pendeza Martinez, Glaucia Maria Bressan, Roberto Molina de Souza, Elenice Weber Stiegelmeier


This work presents conditions for the existence of multiple solutions for a sixth order equation with homogeneous boundary conditions using Avery Peterson's theorem. In addition, non-trivial examples are presented and a new numerical method based on the Banach's Contraction Principle is introduced.


numerical solutions, sixth-order, boundary value problem and multiple solutions

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