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Differentiability of solutions of second-order functional differential equations with unbounded delay. (English) Zbl 1027.34090
The authors study the differentiability of solutions to second-order functional-differential equations with unbounded delay, especially, when the phase space is reflexive or at least has the Radon-Nikodym property. The obtained results are then applied to linear equations to characterize the infinitesimal generator of solution semigroups associated with the linear equations under consideration.
MSC:
34K30Functional-differential equations in abstract spaces
34K05General theory of functional-differential equations
34G10Linear ODE in abstract spaces