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Pseudo-Almost Automorphic Solutions to Some Second-Order Differential Equations

  • Toka Diagana [1] ; Ahmed Mohamed [1]
    1. [1] Howard University

      Howard University

      Estados Unidos

  • Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 13, Nº. 3, 2011, págs. 117-139
  • Idioma: inglés
  • DOI: 10.4067/S0719-06462011000300007
  • Enlaces
  • Resumen
    • español

      En este trabajo se estudia y obtiene la existencia de soluciones casi-seudo automorfas a algunas clases de ecuaciones diferenciales abstractas de segundo orden en un espacio de Hilbert. Para ilustrar nuestros resultados abstractos, se discute la existencia de soluciones casi-seudo automorfas en el problema de contorno N-dimensional de Sine-Gordon.

    • English

      In this paper we study and obtain the existence of pseudo-almost automorphic solutions to some classes of second-order abstract differential equations on a Hilbert space. To illustrate our abstract results, we discuss the existence of pseudo almost automorphic solutions to the N-dimensional Sine-Gordon boundary value problem.

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