Multiple Solutions for an Equation of Kirchhoff Type: Theoretical and Numerical Aspects

André Luís Machado Martinez, Emerson Vitor Castelani, Glaucia Maria Bressan, Elenice Weber Stiegelmeier

Abstract


A nonlinear boundary value problem related to an equation of Kirchhoff type is considered. The existence of multiple positive solutions is proved through Avery-Peterson Fixed Point Theorem. A numerical method based on Levenberg-Marquadt algorithm combined with a heuristic process is present in order to align numerical and theoretical aspects.


Keywords


Multiple solution, Kirchhoff Equation, numerical solutions

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References


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DOI: https://doi.org/10.5540/tema.2018.019.03.559

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TEMA - Trends in Applied and Computational Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)
ISSN: 1677-1966  (print version),  2179-8451  (online version)

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