Differentiability of solutions of linear functional differential equations with infinite delay

• Henríquez Miranda, Hernán R. ^[1]
  1. [1] Universidad de Santiago.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 21, Nº. 2, 2002, págs. 155-174
• Idioma: inglés
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• Resumen

  • In this note we establish a criterion to obtain classical solutions for a quasi-linear abstract retarded functional differential equation with infinite delay and we apply this result to characterize the infinitesimal generators of several strongly continuous semigroup of linear operators that arise in the theory of linear abstract retarded functional differential equations with infinite delay on a phase space defined axiomatically.