Regularity of solutions of partial neutral functional differential equations with unbounded delay

• Hernández, Eduardo ^[1]
  1. [1] Universidade de São Paulo

     Universidade de São Paulo

     Brasil

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 21, Nº. 1, 2002, págs. 65-95
• Idioma: inglés
• DOI: 10.4067/S0716-09172002000100005
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• Resumen

  • We prove the existence of regular solutions for a class of quasi-linear partial neutral functional differential equations with unbounded delay that can be described as the abstract retarded functional differential equation(x(t) + F (t,xₜ)) = Ax(t)+G(t,xₜ), where A is the infinitesimal generator of a strongly continuous semigroup of bounded linear operators on a Banach space X and F , G are appropriated functions.

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