Differentiability of solutions of linear functional differential equations with infinite delay
Author
Henríquez Miranda, Hernán R.
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/158210.4067/S0716-09172002000200004
Abstract
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.