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

André L. M. Martinez, Marcelo R. A. Ferreira, Emerson V. Castelani

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.


Keywords


numerical solutions, third-order, boundary value problem and Krasnoselskii's Theorem

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References


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

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