### Theoretical and Numerical Aspects of a Third-order Three-point Nonhomogeneous Boundary Value Problem

#### Abstract

In this paper we are considering a third-order three-point equation with nonhomogeneous conditions in the boundary. Using Krasnoselskii's Theorem and Leray-Schauder Alternative we provide existence results of positive solutions for this problem. Nontrivials examples are given and a numerical method is introduced.

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DOI: https://doi.org/10.5540/tema.2019.020.03.417

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