Variational methods to second-order Dirichlet boundary value problems with impulses on the half-line

• Autores: Meriem Djibaoui, Toufik Moussaoui
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 24, Nº. 2, 2022, págs. 227-237
• Idioma: inglés
• DOI: 10.56754/0719-0646.2402.0227
• Enlaces
  • Texto completo
• Resumen
  • español

    RESUMEN En este artículo, se investiga la existencia de soluciones de una ecuación diferencial de segundo orden impulsiva con un parámetro en la semi-recta. Aplicando el Teorema de Lax-Milgram, tratamos un problema lineal impulsivo de Dirichlet, mientras que el caso no lineal es establecido usando resultados estándar de teoría de punto crítico.

  • English

    ABSTRACT In this paper, the existence of solutions for a second-order impulsive differential equation with a parameter on the half-line is investigated. Applying Lax-Milgram Theorem, we deal with a linear Dirichlet impulsive problem, while the non-linear case is established by using standard results of critical point theory.

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