### Multiple Solutions for a Sixth Order Boundary Value Problem

#### Abstract

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.

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DOI: https://doi.org/10.5540/tcam.2021.022.01.00001

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