The aim of this paper is to give a complete proof of the formula for the resolvent of a nonautonomous linear delay functional differential equations given in the book of Hale and Verduyn Lunel [9] under the assumption alone of the continuity of the right-hand side with respect to the time,when the notion of solution is a differentiable function at each point, which satisfies the equation at each point, and when the initial value is a continuous function.
@article{bwmeta1.element.doi-10_1515_msds-2015-0006,
author = {Jo\"el Blot and Mamadou I. Kon\'e},
title = {Resolvent of nonautonomous linear delay functional differential equations},
journal = {Nonautonomous Dynamical Systems},
volume = {2},
year = {2015},
zbl = {1337.34067},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_msds-2015-0006}
}
Joël Blot; Mamadou I. Koné. Resolvent of nonautonomous linear delay functional differential equations. Nonautonomous Dynamical Systems, Tome 2 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_msds-2015-0006/
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