Um estudo de soluções para um problema de segunda ordem com múltiplos pontos de fronteira

Authors

  • Thiago DE SOUZA PINTO Universidade Tecnológica Federal do Paraná - UTFPR - Campus Cornélio Procópio
  • André LUIS MACHADO MARTINEZ Universidade Tecnológica Federal do Paraná - UTFPR - Campus Cornélio Procópio
  • Cristiane APARECIDA PENDEZA MARTINEZ Universidade Tecnológica Federal do Paraná - UTFPR - Campus Cornélio Procópio
  • Emerson VITOR CASTELANI Universidade Estadual de Maringá - UEM

DOI:

https://doi.org/10.1590/S2179-84512013005000011

Abstract

No presente artigo consideramos um problema de valor de fronteira não linear com múltiplos pontos. Dois resultados de existência de solução são estabelecidos: o primeiro utilizando a Alternativa de Leray-Schauder e o segundo utilizando o Teorema de ponto fixo de Banach. Motivados pelo segundo resultado, apresentamos um método numérico. Exemplos não clássicos são utilizados para testar o método citado.

Author Biographies

Thiago DE SOUZA PINTO, Universidade Tecnológica Federal do Paraná - UTFPR - Campus Cornélio Procópio

André LUIS MACHADO MARTINEZ, Universidade Tecnológica Federal do Paraná - UTFPR - Campus Cornélio Procópio

Cristiane APARECIDA PENDEZA MARTINEZ, Universidade Tecnológica Federal do Paraná - UTFPR - Campus Cornélio Procópio

Emerson VITOR CASTELANI, Universidade Estadual de Maringá - UEM

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Published

2013-11-24

How to Cite

DE SOUZA PINTO, T., LUIS MACHADO MARTINEZ, A., APARECIDA PENDEZA MARTINEZ, C., & VITOR CASTELANI, E. (2013). Um estudo de soluções para um problema de segunda ordem com múltiplos pontos de fronteira. Trends in Computational and Applied Mathematics, 14(2), 255–263. https://doi.org/10.1590/S2179-84512013005000011

Issue

Vol. 14 No. 2 (2013)

Section

Original Article

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