S-asymptotically ω-periodic solution for a nonlinear differential equation with piecewise constant argument in a Banach space

• William Dimbour ^[1] ; Jean-Claude Mado ^[1]
  1. [1] Université des Antilles et de la Guyane Laboratovre C.E.R.E.G.M.I.A
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 16, Nº. 3, 2014, págs. 55-65
• Idioma: inglés
• DOI: 10.4067/S0719-06462014000300005
• Enlaces
  • Texto completo
• Resumen
  • español

    En este artículo entregamos algunas condiciones suficientes para la existencia y unicidad de las soluciones mild ω-periódicas S-asintóticas para una ecuación diferencial semilineal con argumento constante por tramos en un espacio de Banach cuando ω es un entero. Luego, entregamos ejemplos para ilustrar nuestros resultados.

  • English

    In this paper, we give some sufficient conditions for the existence and uniqueness of S-asymptotically ω-periodic (mild) solutions for a differential equation with piecewise constant argument, when ω is an integer. An example is also given in order to illustrate the result.

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