DIFFERENTIABILITY OF SOLUTIONS OF LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

摘要

In this note we establish a criterion to obtain classical solutions for a quasi-linear abstract retarded functional differential 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. 2000 Mathematics Subject Classification. 34K30, 34G10, 47D06