Regularity of solutions of partial neutral functional differential equations with unbounded delay
DOI:
https://doi.org/10.4067/S0716-09172002000100005Keywords:
Retarded functional differential equations, abstract Cauchy problem, semigroup of bounded linear operators, regularity of solutions, ecuaciones diferenciales funcionales con retardo, problema abstracto de Cauchy, semigrupos de operadores lineales acotadosAbstract
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,x?)) = Ax(t)+G(t,x?), 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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