Measure of noncompactness on and applications

• A Aghajani ^[1] ; D O’Regan ^[2] ; A Shole Haghighi ^[1]
  1. [1] Iran University of Science and Technology

     Iran University of Science and Technology

     Irán

     
  2. [2] National University of Ireland

     National University of Ireland

     Irlanda

     
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 17, Nº. 1, 2015, págs. 85-97
• Idioma: inglés
• DOI: 10.4067/S0719-06462015000100007
• Enlaces
  • Texto completo
• Resumen
  • español

    En este artículo definimos una nueva medida de no-compacidad sobre y estudiamos sus propiedades. Como aplicación, estudiamos la existencia de soluciones para una clase de ecuaciones integrales funcionales no lineales usando el teorema de punto fijo de Darbo asociado a esta nueva medida de no-compacidad.

  • English

    In this paper we define a new measure of noncompactness on and study its properties. As an application we study the existence of solutions for a class of nonlinear functional integral equations using Darbo’s fixed point theorem associated with this new measure of noncompactness.

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