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

Authors

  • André L. M. Martinez Federal Technological University of Paraná https://orcid.org/0000-0003-1888-648X
  • Marcelo R. A. Ferreira State University of North Paraná
  • Emerson V. Castelani State University of Maringá, Maringá, Paraná

DOI:

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

Keywords:

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

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.

Author Biography

André L. M. Martinez, Federal Technological University of Paraná

Graduado em Matemática pela Universidade Estadual de Maringá (2003), mestre em Matemática pela Universidade Estadual de Maringá (2006) e doutor em Matemática Aplicada pela Universidade Estadual de Campinas (2009). Atualmente é professor Associado da Universidade Tecnológica Federal do Paraná. Tem experiência na área de Matemática, com ênfase em Otimização, atuando principalmente nos seguintes temas: otimização numérica, análise matemática, programação não linear.

References

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Published

2019-12-02

How to Cite

Martinez, A. L. M., Ferreira, M. R. A., & Castelani, E. V. (2019). Theoretical and Numerical Aspects of a Third-order Three-point Nonhomogeneous Boundary Value Problem. Trends in Computational and Applied Mathematics, 20(3), 417. https://doi.org/10.5540/tema.2019.020.03.417

Issue

Vol. 20 No. 3 (2019)

Section

Original Article

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