A Formulation of Noether’s Theorem for Pseudo-Problems of the Calculus of Variations

• Gastão Frederico ^[1] ; José Vanterler da Costa Sousa ^[3] ; Daniela dos Santos Oliveira ^[2] ; Felix Silva Costa ^[3]
  1. [1] Universidade Federal do Ceará

     Universidade Federal do Ceará

     Brasil

     
  2. [2] Universidade Federal de São Paulo

     Universidade Federal de São Paulo

     Brasil

     
  3. [3] DEMATI-UEMA

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº Extra 1, 2024
• Idioma: inglés
• DOI: 10.1007/s12346-024-01187-6
• Enlaces
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• Resumen

  • In this present paper, we concern an extension of some results of the calculus of variations to the theory of pseudo-operators. We prove the Euler-Lagrange equations, the D’Alembert principle in differential form, and Noether’s theorem. In this sense, comments and some examples regarding the problems of the calculus of variations conclude the paper.

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